WEBVTT - Be a Better Guesser With Fermi Estimation

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<v Speaker 1>Welcome to Stuff to Blow Your Mind from how Stuff

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<v Speaker 1>Works dot com. Hey, welcome to Stuff to Blow your Mind.

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<v Speaker 1>My name is Robert Lamb and I'm Joe McCormick and Robert.

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<v Speaker 1>I want you to think about something I know you've

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<v Speaker 1>seen many times before. Okay, you've watched James Bond movies, right,

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<v Speaker 1>of course. I grew up watching James Bond movies mostly

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<v Speaker 1>on I think TBS on Thanksgiving Day and that one

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<v Speaker 1>they show it. I think they would, but it seems

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<v Speaker 1>like they just chewed it all the time. Like every

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<v Speaker 1>weekend it was what what Bond movie will be sort

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<v Speaker 1>of watching this weekend? And you would you would hope

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<v Speaker 1>where I would often those days, I would hope it

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<v Speaker 1>would be the Sean Connery. Nowadays, I think if I

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<v Speaker 1>were to do what, I would say, Roger Moore please. Yeah,

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<v Speaker 1>the more ones are the cheesier ones, they're better for

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<v Speaker 1>Thanksgiving Day. Yeah, I think so, like the Sean Connery

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<v Speaker 1>ones might be better movies, but they kind of just

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<v Speaker 1>they have this tinge of alcoholism and misogyny that well, no,

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<v Speaker 1>I guess the Roger Moore wins due to they do.

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<v Speaker 1>It's kind of just part of the character I think

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<v Speaker 1>you find that in every variation. Yeah. Anyway, So James Bond,

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<v Speaker 1>what does he do when he walks up to a

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<v Speaker 1>gambling table? What happens every time he walks up, lights

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<v Speaker 1>a cigarette, makes some dirty word play with a female

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<v Speaker 1>gambler or something like that, and then he gets a

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<v Speaker 1>black check hand. What happens, Well, he tends to win.

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<v Speaker 1>He wins every time. He always wins. When James Bond

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<v Speaker 1>never loses, unless it's like a specific scene where gambling

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<v Speaker 1>is crucial to the plot and he must lose, like

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<v Speaker 1>in Casino Royality. Yeah, like, I can't even I think

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<v Speaker 1>I can't remember if he won or lost in gold Finger.

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<v Speaker 1>But there's a scene in gold Finger where, uh, gold

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<v Speaker 1>Finger himself, you know, the villain of the piece, like

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<v Speaker 1>cheats at cards. I think by by having somebody in

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<v Speaker 1>in one of the high rises. Oh yeah, here's thinking

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<v Speaker 1>James Bond isn't playing he gold Fingers cheating somebody else? Okay,

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<v Speaker 1>but does he then play Goldfinger and win? It sounds

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<v Speaker 1>like the kind of thing Bond would do. I don't

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<v Speaker 1>think he ever played. He plays him, he plays him

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<v Speaker 1>in golf and then and then they both cheat. Anyway,

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<v Speaker 1>getting past this, okay, Yeah, but so he always wins.

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<v Speaker 1>He all, he goes up, he hits twenty one right

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<v Speaker 1>on the first throw every time first throwers what you

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<v Speaker 1>call it the first hand. Um, And so my question

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<v Speaker 1>is do you believe that there are people like that?

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<v Speaker 1>Obviously there is luck in the sense that there are

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<v Speaker 1>differential outcomes. You can have a lucky thing happen to you,

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<v Speaker 1>you can have an unlucky thing happened to you. But

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<v Speaker 1>do you believe there are people who are consistently lucky? Well,

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<v Speaker 1>I'm sure plenty of our listeners have played the various

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<v Speaker 1>role playing games, you know, video games as well as

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<v Speaker 1>pin and paper games, and if you have, you've probably

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<v Speaker 1>encountered characters or character management systems where there's an actual

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<v Speaker 1>numerical luck rating for the character. Right, so you can

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<v Speaker 1>like eight yourself higher on luck. Yeah, so you know, well,

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<v Speaker 1>this character and then their strengthened in that grave. Their

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<v Speaker 1>dexterity is a little lacking, but their luck skill is amazing.

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<v Speaker 1>That's not a skill well I know, or an attributed

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<v Speaker 1>ll but but yeah, if you play enough role playing games,

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<v Speaker 1>that makes you think, yeah, I wonder what my my

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<v Speaker 1>my luck rating is? Am I on a nine or

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<v Speaker 1>a ten. Um. So is it like that in real life? Well,

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<v Speaker 1>I think obviously the answer is no. Um. Though actually

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<v Speaker 1>I want to go back on what I said a

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<v Speaker 1>second ago, because I said, that's not a skill. It

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<v Speaker 1>may be true in the sense that some things that

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<v Speaker 1>look like luck are in fact skills, But personally I

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<v Speaker 1>don't don't believe in this karmic version of luck. I

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<v Speaker 1>would assume Robert, you probably don't either, I know, not

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<v Speaker 1>not per se not not scientifically speaking, not in terms

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<v Speaker 1>of like you having some kind of store of spiritual

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<v Speaker 1>capital holding sway over future outcomes, right. I mean, if

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<v Speaker 1>I was to adjust my the lenses through which view

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<v Speaker 1>reality and uh and choose to load up more mystical

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<v Speaker 1>religious views of the world, I might engage in this

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<v Speaker 1>into a certain amount of magical thinking. Some folks are

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<v Speaker 1>are lucky that some folks are, I don't know, guiding

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<v Speaker 1>themselves to the multiverse of possibilities along like the most

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<v Speaker 1>victorious line possible. But from a strictly like real world

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<v Speaker 1>scientific pragmatic point of view, no, absolutely not, however, though

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<v Speaker 1>I mean, I think we can both agree that even

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<v Speaker 1>in the sense of a real world scientific pragmatic point

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<v Speaker 1>of view, there are some people who do seem to

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<v Speaker 1>be more consistently lucky than others, And I think this

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<v Speaker 1>is because random events are it's or it's not because

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<v Speaker 1>of random events being brought to heal by luck magic.

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<v Speaker 1>It's because people are able to influence events in ways

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<v Speaker 1>that are not in fact random, just look random from

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<v Speaker 1>the outside. So, for example, a person who's really confident

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<v Speaker 1>and positive might not actually have more good outcomes on

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<v Speaker 1>average than somebody else. But when you think of that person,

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<v Speaker 1>when you think of your friend who's really confident and positive,

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<v Speaker 1>you're more likely to count the hits and discard the misses.

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<v Speaker 1>You know, this selection bias thing. Good outcomes seem in

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<v Speaker 1>character for that person. They sort of get added to

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<v Speaker 1>the character sheet. You're like, yeah, that's that's them. Well,

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<v Speaker 1>you know, bad outcomes you just ignore. That's like that's noise. Yeah,

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<v Speaker 1>I mean James Bond is a classic example. We think

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<v Speaker 1>about James Bond to you know, of course, the fictional

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<v Speaker 1>character spread out across various movies and books, and we think, oh,

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<v Speaker 1>he wins all the time, he always gets the girl.

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<v Speaker 1>But there's a scene in What's the George lasonby movie

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<v Speaker 1>um on Our Majesty's Secret Service. Yea, his wife is

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<v Speaker 1>murdered by by Telexavalis's Blowfield's Man. You know, just spoilers

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<v Speaker 1>well killed and spoiler for you know, arguably one of

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<v Speaker 1>the lesser James Bond films. Oh no, it's some people's favorite. Uh.

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<v Speaker 1>I enjoyed it. But but yeah, like there's a super

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<v Speaker 1>traumatic moment like who would want? I wouldn't want? I

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<v Speaker 1>would I would not want all of the you know,

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<v Speaker 1>alleged benefits of Bond's life if I also meant I

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<v Speaker 1>had to experience like that kind of a low. So

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<v Speaker 1>even with James Bond, we're forgetting all the torture scenes

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<v Speaker 1>and the injuries and the dead wife, and we're focusing

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<v Speaker 1>on the stuff that we are in via stuff. Sure, okay,

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<v Speaker 1>so that's just like influencing people's perceptions of you. But

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<v Speaker 1>what what if you are actually you actually have more

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<v Speaker 1>good outcomes than average. I think in in cases like this,

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<v Speaker 1>there are a lot of things that we think of

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<v Speaker 1>as luck that are in fact skill. One example would

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<v Speaker 1>be some forms of gambling. Now it's true that there's

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<v Speaker 1>no skill involved in getting lucky cards at blackjack, but

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<v Speaker 1>there could be skill involved in other aspects of gambling,

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<v Speaker 1>like in poker, knowing how and when to bet so

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<v Speaker 1>as to manipulate your opponents. Uh, you can turn even

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<v Speaker 1>a bad hand into a winning hand in poker. In

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<v Speaker 1>black jack, you you know you can't control what cards

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<v Speaker 1>you get, but if you can count cards, if you

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<v Speaker 1>know the odds on any given play, if you know

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<v Speaker 1>you know, okay, here are the cards I have, and

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<v Speaker 1>here's what the dealer is showing. I know the odds

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<v Speaker 1>of what I should bet. You can sort of start

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<v Speaker 1>to leverage an advantage. In black check. I think you

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<v Speaker 1>still probably can't get better than but but there is

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<v Speaker 1>some skill involved there. And don't count out just flat

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<v Speaker 1>out cheating. Oh of course, I mean the most important

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<v Speaker 1>skill in peopling. It's the skill that the house has

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<v Speaker 1>leveraged against you. With your consent, you agree to a

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<v Speaker 1>game that they openly acknowledge they have rigged. This is

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<v Speaker 1>true and nice call back to our slot Machines episode

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<v Speaker 1>that we recently republished. Right. Uh. And another way to

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<v Speaker 1>think about this, Uh, this concept of skill versus luck

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<v Speaker 1>is in the realm of guessing. I think guessing is

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<v Speaker 1>a really interesting phenomenon for human beings because we use

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<v Speaker 1>this word a lot of different ways. Some times we

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<v Speaker 1>use it to mean, uh, you know, just going with

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<v Speaker 1>a gut feeling when you have no information. Sometimes we

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<v Speaker 1>use it to mean coming up with an answer on

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<v Speaker 1>very limited or little information. But but generally it means

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<v Speaker 1>like trying to produce a piece of information without a

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<v Speaker 1>strong determinative process to get you there. Well, I think

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<v Speaker 1>in a lot of cases it's it's the kind of

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<v Speaker 1>it's kind of artificial scenario that would not exist out

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<v Speaker 1>of the human realm, such as I think one of

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<v Speaker 1>the classic examples would be a multiple choice test. Then

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<v Speaker 1>maybe you didn't study for all that well, right, and

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<v Speaker 1>so you have suddenly are forced to answer a question

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<v Speaker 1>that you just have no idea about. Maybe you can

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<v Speaker 1>eliminate one possible answer. If you're still left with three

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<v Speaker 1>likely answers, and you just have to go with your guy,

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<v Speaker 1>you just gotta guess. You gotta get a wild shot

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<v Speaker 1>in the dark. Yeah. And and from this concept we

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<v Speaker 1>we have this concept of the lucky guess. Of course,

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<v Speaker 1>people who are lucky guessers who seem to have a

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<v Speaker 1>much better than average hit ratio at tossing out a

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<v Speaker 1>correct or nearly correct answer to a question even when

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<v Speaker 1>you've got essentially no knowledge or very little information to

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<v Speaker 1>work with. And that's what I want to talk about today,

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<v Speaker 1>about this, this process of guessing, and about how in

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<v Speaker 1>many cases things which appear to be random lucky guesses

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<v Speaker 1>are not in fact random. There's a skill, you know,

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<v Speaker 1>there's a skill and art and a science to many

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<v Speaker 1>different kinds of guessing and smart guessing. Uh. And there

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<v Speaker 1>are even a few techniques that you can harness for

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<v Speaker 1>yourself to get a little bit better at guessing than

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<v Speaker 1>you might be if you're just always going with your gut.

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<v Speaker 1>So one thing I wanted to do. I don't know

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<v Speaker 1>how many good answers we can really come up with here,

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<v Speaker 1>but I was wondered, like, who are some people who

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<v Speaker 1>are some famous, really good guessers. I've got one answer,

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<v Speaker 1>but other than that, I don't know. You know people

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<v Speaker 1>like this personally, right, You've got friends who you know

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<v Speaker 1>are better guessers than others. But in terms of finding

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<v Speaker 1>like historic moments and saying like legends of guessing. I

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<v Speaker 1>did some poking around, and there aren't a lot of

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<v Speaker 1>great options, like you know, military history, etcetera. There aren't

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<v Speaker 1>situations where someone just takes a wild guess and it

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<v Speaker 1>pays off and it becomes the stuff of just absolute legends. Yeah,

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<v Speaker 1>one of the few examples I could come across. And again,

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<v Speaker 1>this is not a high stake situation. I mean, it

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<v Speaker 1>kind of is for one specific person, but it's not

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<v Speaker 1>a warfare scenario, and it's taking place within a very

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<v Speaker 1>artificial human environment, not the multiple choice quiz but the

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<v Speaker 1>game show. All right, So Wheel of Fortune, Wheel of Fortune,

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<v Speaker 1>this was This occurred on a two thousand fourteen episode.

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<v Speaker 1>So you had this contestant by the name of Emil

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<v Speaker 1>de Leon and he had If you're familiar with Wheel

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<v Speaker 1>of Fortune, it's where you have you know, those blank

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<v Speaker 1>uh blank places where the letters go on the It's

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<v Speaker 1>like a combination of Roulette and scrabble. Yeah, so it's

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<v Speaker 1>it's it's a very specific game. It's you know, if

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<v Speaker 1>you're like me, you at least grew up watching your

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<v Speaker 1>grandparents watch it, and a lot of people watch it regularly.

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<v Speaker 1>It's a it has a certain system in play, and

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<v Speaker 1>it's kind of neat to to sit there and play

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<v Speaker 1>along at home, you know what. It's actually more like,

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<v Speaker 1>I don't know why we're explaining this. Everybody's seeing wheels

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<v Speaker 1>watch but no, I mean if you actually haven't. It's

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<v Speaker 1>like the game Hangman, where you guess letters. You have

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<v Speaker 1>a set number of spaces. Uh you know they're like

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<v Speaker 1>eight maybe you know there are eight letters in this

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<v Speaker 1>word and you're trying to guess letters and if you

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<v Speaker 1>get one right, it gets filled in there you go, Yeah,

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<v Speaker 1>it's it's Hangman, with with with with with monetary rewards

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<v Speaker 1>and Pat say Jack, okay, okay, So uh, the leon

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<v Speaker 1>is playing all right, and there's like a there's a

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<v Speaker 1>three word problem up on the board and the only

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<v Speaker 1>letter up there is in, so that the it's in

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<v Speaker 1>blank blank space blank blank blank blank space blank blank

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<v Speaker 1>blank blank blank. Right, that's what it is. That's it.

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<v Speaker 1>That's always got to go on. What would you guess?

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<v Speaker 1>I don't know, see unlikely leon. I haven't put a lot.

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<v Speaker 1>I haven't put a lot of thought into the system

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<v Speaker 1>of it. Like here's a guy who watched it pretty

0:12:13.000 --> 0:12:14.719
<v Speaker 1>religiously and then he was gonna, you know, he got

0:12:14.720 --> 0:12:16.600
<v Speaker 1>to go on the show. So I think he was

0:12:16.720 --> 0:12:17.959
<v Speaker 1>he was very much in the mind to try and

0:12:18.000 --> 0:12:19.439
<v Speaker 1>game the system. I look, if I were to look

0:12:19.440 --> 0:12:21.400
<v Speaker 1>at those blank spaces. I don't know what I guess,

0:12:21.679 --> 0:12:29.120
<v Speaker 1>uh new rats lover. That doesn't work now, I give up. Well,

0:12:29.160 --> 0:12:31.160
<v Speaker 1>but you got the new, all right, so you figured

0:12:31.240 --> 0:12:33.600
<v Speaker 1>that part out. And indeed he also guessed the new,

0:12:33.679 --> 0:12:36.520
<v Speaker 1>but he also went all the way and guessed new

0:12:36.600 --> 0:12:43.520
<v Speaker 1>baby Buggy and one sixty three thousand. Yeah, cheating must

0:12:43.520 --> 0:12:46.760
<v Speaker 1>have been cheating. Well, some people leveled that charge and

0:12:46.800 --> 0:12:50.000
<v Speaker 1>he uh, he ended up explaining himself because this was

0:12:50.040 --> 0:12:52.360
<v Speaker 1>apparently a big deal, like even Pat say Jack said

0:12:52.400 --> 0:12:56.880
<v Speaker 1>this was the craziest guests ever in his history of

0:12:56.880 --> 0:13:01.079
<v Speaker 1>hosting the show and when they When Leon Julianne was interviewed,

0:13:01.160 --> 0:13:03.240
<v Speaker 1>he said that, well, first of all, he'd been watching

0:13:03.240 --> 0:13:05.560
<v Speaker 1>the show for some time. He knew the game inside out,

0:13:05.880 --> 0:13:08.199
<v Speaker 1>and he knew that knew had to be the first

0:13:08.240 --> 0:13:10.600
<v Speaker 1>word like that was even we got that. You know

0:13:10.720 --> 0:13:13.760
<v Speaker 1>that if it's in blank blank? How are many? How?

0:13:14.240 --> 0:13:16.640
<v Speaker 1>What what are some more common words that come to mind?

0:13:17.000 --> 0:13:23.440
<v Speaker 1>Not many? Maybe not not not now, but he he,

0:13:23.640 --> 0:13:25.040
<v Speaker 1>I guess watched it enough to know that a lot

0:13:25.080 --> 0:13:27.559
<v Speaker 1>that's probably gonna be new. And then he said that

0:13:27.640 --> 0:13:30.680
<v Speaker 1>since he was studying for nursing exams, he had babies

0:13:30.720 --> 0:13:33.200
<v Speaker 1>on the brain, so he just kind of it just

0:13:33.280 --> 0:13:36.440
<v Speaker 1>happened to be that that, like baby is the perfect

0:13:36.720 --> 0:13:40.360
<v Speaker 1>four letter word. I don't is new baby buggy like

0:13:40.400 --> 0:13:44.480
<v Speaker 1>a like a common phrase I don't not in in

0:13:44.520 --> 0:13:48.840
<v Speaker 1>my experience, So that's like an expression that I'm not

0:13:48.920 --> 0:13:52.120
<v Speaker 1>familiar with. I mean, I guess it's like a new baby.

0:13:52.720 --> 0:13:55.520
<v Speaker 1>Is it like a some sort of a rhyming nursery

0:13:55.559 --> 0:13:57.880
<v Speaker 1>rhyme kind of a thing or tongue twister? I guess

0:13:57.960 --> 0:14:01.080
<v Speaker 1>is a tongue twister. Maybe that's the origin there, but

0:14:01.760 --> 0:14:04.440
<v Speaker 1>uh yeah, it just seems kind of crazy that that

0:14:04.559 --> 0:14:09.400
<v Speaker 1>he just instantly produces the answer to this seemingly out

0:14:09.400 --> 0:14:12.680
<v Speaker 1>of nowhere. Uh As it turns out it's not quite

0:14:12.720 --> 0:14:15.880
<v Speaker 1>out of nowhere. He at least had a very educated

0:14:15.880 --> 0:14:20.200
<v Speaker 1>guests on that first word, and then his prior experience

0:14:20.240 --> 0:14:24.160
<v Speaker 1>just happened to ease him into those last two words. Okay,

0:14:24.160 --> 0:14:27.240
<v Speaker 1>Well that that might you might actually just call that

0:14:27.320 --> 0:14:29.680
<v Speaker 1>luck in some ways, like it might know the game

0:14:29.800 --> 0:14:33.200
<v Speaker 1>well enough to see new there. But I mean, those

0:14:33.360 --> 0:14:38.040
<v Speaker 1>other words could have been anything, right, but his experience

0:14:38.520 --> 0:14:41.120
<v Speaker 1>prepared him to be lucky in a way that other

0:14:41.160 --> 0:14:43.720
<v Speaker 1>people would not have been lucky, like if they had

0:14:43.800 --> 0:14:46.640
<v Speaker 1>not a watch the show a bunch of times, which

0:14:46.680 --> 0:14:48.320
<v Speaker 1>I don't know if anybody ever just shows up on

0:14:48.320 --> 0:14:51.240
<v Speaker 1>Will of Fortune, they've basically never seen the show. They

0:14:51.280 --> 0:14:55.280
<v Speaker 1>do this new baby buggy puzzle every other week. Yeah,

0:14:55.360 --> 0:14:57.880
<v Speaker 1>so you know, I I think you can you can

0:14:57.880 --> 0:14:59.800
<v Speaker 1>make the argument either way. But yeah, I would say

0:14:59.800 --> 0:15:02.960
<v Speaker 1>that his his experiences put him in just the right

0:15:03.000 --> 0:15:07.560
<v Speaker 1>position to to to be a little quote unquote luckier

0:15:07.600 --> 0:15:11.960
<v Speaker 1>than other people. Okay, well, I mean, so whatever is

0:15:12.000 --> 0:15:14.960
<v Speaker 1>happening in that scenario, we do know that, at least

0:15:14.960 --> 0:15:17.480
<v Speaker 1>in much the same way, somebody who appears to be

0:15:17.520 --> 0:15:20.960
<v Speaker 1>a consistently lucky gambler might just be a skilled gambler

0:15:21.360 --> 0:15:26.360
<v Speaker 1>counting cards, calculating odds, manipulating opponents. Um. When it comes

0:15:26.400 --> 0:15:31.160
<v Speaker 1>to numerical values, uh, somebody who appears to be a

0:15:31.240 --> 0:15:35.320
<v Speaker 1>lucky guess or with numbers is more likely to be

0:15:35.440 --> 0:15:39.880
<v Speaker 1>a skillful guesser figuring out how to leverage existing knowledge

0:15:39.960 --> 0:15:42.520
<v Speaker 1>that you wouldn't even thought of to take into account

0:15:43.200 --> 0:15:47.520
<v Speaker 1>into a kind of ballpark accurate guess. And one person

0:15:47.560 --> 0:15:52.240
<v Speaker 1>who's famous for this is the Italian physicist Enrico Fermi

0:15:53.360 --> 0:15:57.880
<v Speaker 1>So Fermi lived from nineteen o one to nineteen fifty four. UM.

0:15:57.920 --> 0:16:00.880
<v Speaker 1>He grew up in Italy. After the passage of anti

0:16:00.880 --> 0:16:04.760
<v Speaker 1>Semitic restrictions and fascist Italy in ninety eight, for Me

0:16:04.880 --> 0:16:07.280
<v Speaker 1>and his family fled to the United States, where he

0:16:07.400 --> 0:16:11.480
<v Speaker 1>ended up working on the Manhattan Project and in his

0:16:11.640 --> 0:16:15.280
<v Speaker 1>role for Me, was present for the first test of

0:16:15.360 --> 0:16:20.400
<v Speaker 1>the atomic bomb on July sixteenth, ninety the Trinity Test.

0:16:20.480 --> 0:16:23.520
<v Speaker 1>You've heard about this, and at the time, this was

0:16:23.600 --> 0:16:27.360
<v Speaker 1>new territory. Nobody had ever tested a nuclear weapon before,

0:16:27.520 --> 0:16:31.160
<v Speaker 1>you know, a fission weapon with this big yield. They

0:16:31.160 --> 0:16:32.960
<v Speaker 1>didn't know exactly what was going to happen. You know,

0:16:33.000 --> 0:16:36.960
<v Speaker 1>the physicists had their calculations. Uh, they were fairly confident

0:16:37.000 --> 0:16:40.200
<v Speaker 1>that the device would explode. It was this plutonium implosion

0:16:40.240 --> 0:16:43.160
<v Speaker 1>bomb that they called the Gadget, and they thought it

0:16:43.160 --> 0:16:45.960
<v Speaker 1>would generate a large explosion, but the outcome was all

0:16:46.000 --> 0:16:49.080
<v Speaker 1>theoretical at that point. They weren't sure what the level

0:16:49.120 --> 0:16:52.880
<v Speaker 1>of energy output would be. Yeah, I remember reading that

0:16:53.120 --> 0:16:56.400
<v Speaker 1>like on the extreme ends of the spectrum, that where

0:16:56.440 --> 0:16:58.200
<v Speaker 1>there was the possibility that it could be a dud

0:16:58.280 --> 0:17:00.280
<v Speaker 1>or it could catch the air on fire. About that

0:17:00.360 --> 0:17:02.440
<v Speaker 1>that sort of thing. Yeah, and so they didn't know.

0:17:03.280 --> 0:17:07.560
<v Speaker 1>So Enrico Fermi that this great physicist who's famous at

0:17:07.560 --> 0:17:10.760
<v Speaker 1>good guesses he's there to watch the test. So picture

0:17:10.840 --> 0:17:13.480
<v Speaker 1>him there. Uh, he's there with his colleagues, and he's

0:17:13.520 --> 0:17:16.760
<v Speaker 1>at a camp about ten miles away from ground zero,

0:17:16.840 --> 0:17:19.200
<v Speaker 1>ten miles from where the bomb goes off. Jay Robert

0:17:19.200 --> 0:17:24.640
<v Speaker 1>Oppenheimer's there like scribbling notes into a Hindu epic. I'm sure,

0:17:25.119 --> 0:17:29.600
<v Speaker 1>I'm sure. Yes. So they're behind some shielding for good reasons. Uh.

0:17:29.640 --> 0:17:33.080
<v Speaker 1>And Fermi watches the blast through a board that's got

0:17:33.119 --> 0:17:37.119
<v Speaker 1>a viewing window made of welding glass. And there's a

0:17:37.119 --> 0:17:40.000
<v Speaker 1>two thousand five issue of the Nuclear Weapons Journal that

0:17:40.040 --> 0:17:42.320
<v Speaker 1>includes an article with some great quotes from Fermi and

0:17:42.359 --> 0:17:45.919
<v Speaker 1>others who were eyewitnesses to this to the event, and

0:17:46.080 --> 0:17:49.520
<v Speaker 1>Fermi wrote, So he's there, he's looking through the welding glass. Um,

0:17:50.480 --> 0:17:53.680
<v Speaker 1>and uh that he very first saw quote a very

0:17:53.760 --> 0:17:57.200
<v Speaker 1>intense flash of light that was brighter than full daylight,

0:17:57.560 --> 0:18:01.399
<v Speaker 1>and then a conglomeration of flame that rose into the sky,

0:18:01.640 --> 0:18:04.880
<v Speaker 1>and a huge pillar of smoke with an expanded head,

0:18:04.960 --> 0:18:07.840
<v Speaker 1>like a gigantic mushroom. Here's where we get our mushroom

0:18:07.840 --> 0:18:13.040
<v Speaker 1>cloud um and that rose rapidly into the clouds. Now,

0:18:13.119 --> 0:18:15.680
<v Speaker 1>when there's an explosion and you're pretty far away, there's

0:18:15.680 --> 0:18:18.879
<v Speaker 1>a time gap between when you see the flash and

0:18:18.920 --> 0:18:22.960
<v Speaker 1>when you feel the blast. Right could because why light

0:18:23.000 --> 0:18:25.720
<v Speaker 1>travels faster than sound. It's the same thing that happens

0:18:25.760 --> 0:18:29.000
<v Speaker 1>between lightning and thunder. You see the light and then

0:18:29.080 --> 0:18:31.560
<v Speaker 1>you hear the sound of the thunder. Uh So it

0:18:31.600 --> 0:18:35.400
<v Speaker 1>was about forty seconds after the visible explosion that the

0:18:35.480 --> 0:18:39.199
<v Speaker 1>air blast actually hit the observation camp. And when the

0:18:39.200 --> 0:18:43.000
<v Speaker 1>air blast arrived, Fermy did something really weird. He held

0:18:43.080 --> 0:18:46.480
<v Speaker 1>up a handful of scraps of paper about six ft

0:18:46.480 --> 0:18:50.040
<v Speaker 1>off the ground, and he dropped them and he let

0:18:50.040 --> 0:18:52.600
<v Speaker 1>them flutter away in the force of the air blast,

0:18:53.400 --> 0:18:56.800
<v Speaker 1>and then after seeing where they fell, he released some more,

0:18:57.480 --> 0:19:02.280
<v Speaker 1>just in regular air, no blast. And then after he

0:19:02.320 --> 0:19:04.080
<v Speaker 1>looked at how far they went, I think it was

0:19:04.119 --> 0:19:07.920
<v Speaker 1>like two point five meters or something, he quickly guessed

0:19:08.040 --> 0:19:11.040
<v Speaker 1>that the detonation had been about ten kilo tons worth

0:19:11.080 --> 0:19:14.120
<v Speaker 1>of explosion, meaning it released the same energy as ten

0:19:14.160 --> 0:19:17.640
<v Speaker 1>thousand tons of t n T. Now, when the actual

0:19:17.760 --> 0:19:20.760
<v Speaker 1>readings came in, it was about twenty kill a tons,

0:19:21.320 --> 0:19:24.840
<v Speaker 1>about twice Fermi's estimate. So he wasn't exactly right, but

0:19:24.960 --> 0:19:28.199
<v Speaker 1>this is still a remarkably good guess for having no

0:19:28.400 --> 0:19:31.520
<v Speaker 1>direct readings to work with. I mean, after all, you

0:19:31.560 --> 0:19:33.920
<v Speaker 1>think about it, can you look at an explosion ten

0:19:34.000 --> 0:19:36.040
<v Speaker 1>miles away and say how many tons of T n

0:19:36.119 --> 0:19:39.959
<v Speaker 1>T you think it's equivalent to know? I wouldn't even

0:19:40.040 --> 0:19:42.760
<v Speaker 1>know how to. I wouldn't know what order of magnitude

0:19:43.200 --> 0:19:47.760
<v Speaker 1>no tons to kill a tons to mega tons um.

0:19:47.960 --> 0:19:51.000
<v Speaker 1>So with just some scraps of paper watching how far

0:19:51.040 --> 0:19:53.080
<v Speaker 1>they blew in the wind, FIRMI was able to do

0:19:53.160 --> 0:19:56.800
<v Speaker 1>some quick calculations in his head and correctly guess within

0:19:56.880 --> 0:20:01.000
<v Speaker 1>the true order of magnitude. So how did he do it? Well,

0:20:01.280 --> 0:20:02.919
<v Speaker 1>we'll come back to that in a bit when we

0:20:02.960 --> 0:20:06.679
<v Speaker 1>get into the Fermi estimation method. Now, before we move on,

0:20:07.720 --> 0:20:09.800
<v Speaker 1>and I think this is also of interest that the U.

0:20:09.920 --> 0:20:12.720
<v Speaker 1>S Army as well as other U S Armed forces,

0:20:13.280 --> 0:20:17.200
<v Speaker 1>have used the acronym SWAG before, which stands for a

0:20:17.320 --> 0:20:21.920
<v Speaker 1>scientific wild ass. Guests, now, you're not you're not swearing

0:20:21.920 --> 0:20:25.159
<v Speaker 1>on the podcast? Now? No, no, no, not necessarily. I

0:20:25.200 --> 0:20:28.240
<v Speaker 1>guess it depends on your your viewpoint here, But uh,

0:20:28.880 --> 0:20:32.960
<v Speaker 1>this was a now Robert, Uh, you know what we're

0:20:32.960 --> 0:20:35.080
<v Speaker 1>talking about here. Of course, as a guestimate, a guest

0:20:35.160 --> 0:20:38.119
<v Speaker 1>made by an expert or institution with a certain amount

0:20:38.200 --> 0:20:41.520
<v Speaker 1>of expertise in a given topic. Um, you know, it's

0:20:41.560 --> 0:20:45.560
<v Speaker 1>still a guests but but hopefully you're leveraging your best

0:20:45.680 --> 0:20:48.880
<v Speaker 1>information and making that guess. It's I think it's generally

0:20:48.920 --> 0:20:51.880
<v Speaker 1>considered a guest that comes from somebody who should know

0:20:51.960 --> 0:20:54.919
<v Speaker 1>what they're talking about, even if they don't have direct

0:20:54.960 --> 0:20:57.919
<v Speaker 1>information to work with. So you know, you might be

0:20:57.960 --> 0:21:02.280
<v Speaker 1>in a situation where, uh uh, somebody has some weird

0:21:02.400 --> 0:21:07.600
<v Speaker 1>array of symptoms and they don't really correspond to any

0:21:07.640 --> 0:21:11.120
<v Speaker 1>known medical condition, and maybe you don't have any instruments.

0:21:11.160 --> 0:21:13.160
<v Speaker 1>You can't take their temperature, you can't do any lab

0:21:13.200 --> 0:21:15.680
<v Speaker 1>work or whatever. But you could still have a doctor

0:21:15.760 --> 0:21:18.399
<v Speaker 1>look at them and guess what's wrong with them, or

0:21:18.720 --> 0:21:22.600
<v Speaker 1>just have a I don't know, a football player look

0:21:22.640 --> 0:21:25.440
<v Speaker 1>at them and guess what's wrong with them. Even though

0:21:25.480 --> 0:21:27.399
<v Speaker 1>the doctor doesn't have a lot of his or her

0:21:27.480 --> 0:21:31.840
<v Speaker 1>tools at their disposal. Um, they still might just have

0:21:31.960 --> 0:21:35.440
<v Speaker 1>some intuitions based on their experience. Right right now, now,

0:21:35.640 --> 0:21:37.840
<v Speaker 1>you have to say it might be a football related injury.

0:21:37.880 --> 0:21:40.720
<v Speaker 1>In which case the football player might have insight that

0:21:40.800 --> 0:21:42.880
<v Speaker 1>someone else might not have, so in the in their

0:21:42.880 --> 0:21:46.160
<v Speaker 1>case it might be a swag if you will. Now,

0:21:46.160 --> 0:21:48.560
<v Speaker 1>I do want to point out that the wild ass

0:21:48.640 --> 0:21:53.880
<v Speaker 1>part of this is technically not um me being obscene,

0:21:53.960 --> 0:21:58.480
<v Speaker 1>because as William Saffire points out has pointed out before,

0:21:58.480 --> 0:22:01.359
<v Speaker 1>I believe in the New York Times, uh he said

0:22:01.400 --> 0:22:04.960
<v Speaker 1>that the wild ass is not a mirror of vulgarism,

0:22:05.000 --> 0:22:07.160
<v Speaker 1>as it can be found five times in the King

0:22:07.240 --> 0:22:12.840
<v Speaker 1>James Bible, most notably job behold as wild asses in

0:22:12.880 --> 0:22:16.800
<v Speaker 1>the desert go, they fourth to do their work. So

0:22:16.920 --> 0:22:22.120
<v Speaker 1>there you go. Well, of course, yeah, I knew that's

0:22:22.119 --> 0:22:25.480
<v Speaker 1>what you meant. Yeah. So, now that we've biblically grounded

0:22:25.760 --> 0:22:28.160
<v Speaker 1>the episode, I think maybe we should take a quick

0:22:28.160 --> 0:22:31.840
<v Speaker 1>break and when we come back we will jump into

0:22:31.880 --> 0:22:36.520
<v Speaker 1>mathematical estimation. So we're talking about guessing as a skill

0:22:36.720 --> 0:22:41.119
<v Speaker 1>rather than as pure blind luck. In one way you

0:22:41.160 --> 0:22:44.679
<v Speaker 1>can maybe get better than chance at certain kinds of

0:22:44.720 --> 0:22:49.040
<v Speaker 1>guessing is to leverage the power of simple observations and

0:22:49.200 --> 0:22:52.480
<v Speaker 1>rough math. There are a lot of situations in your

0:22:52.520 --> 0:22:56.080
<v Speaker 1>life where you might be asked to guess something and

0:22:56.359 --> 0:22:58.800
<v Speaker 1>it's at first not apparent that you can do any

0:22:58.840 --> 0:23:01.520
<v Speaker 1>better than just got feeling just come up with a

0:23:01.760 --> 0:23:05.520
<v Speaker 1>you know, this number sounds right. Uh. You know, somebody

0:23:05.560 --> 0:23:10.560
<v Speaker 1>asks how many buildings are in Atlanta and you'd be like, uh,

0:23:10.680 --> 0:23:12.320
<v Speaker 1>I don't know. You might come up with a number

0:23:12.359 --> 0:23:16.320
<v Speaker 1>and be like a hundred thousand, you know that feels

0:23:16.320 --> 0:23:19.520
<v Speaker 1>about right, but you have nothing to work with there.

0:23:20.160 --> 0:23:23.719
<v Speaker 1>In many situations like this, you can do better, and

0:23:23.760 --> 0:23:26.040
<v Speaker 1>you can do better without going to the you know,

0:23:26.200 --> 0:23:29.440
<v Speaker 1>encyclopedia or the you know, city statistics to look up

0:23:29.480 --> 0:23:33.159
<v Speaker 1>the information you need, because you can just leverage simple

0:23:33.280 --> 0:23:37.680
<v Speaker 1>observations with math. One great example of this, I think

0:23:37.800 --> 0:23:41.040
<v Speaker 1>would be the gumball jar contest. Oh yeah, you see

0:23:41.080 --> 0:23:44.000
<v Speaker 1>variations in this everywhere you go, Like it might be gumballs,

0:23:44.000 --> 0:23:46.399
<v Speaker 1>that might be jelly beans, but it's Yeah. This is

0:23:46.400 --> 0:23:48.159
<v Speaker 1>a wonderful example because one of the problems with be

0:23:48.200 --> 0:23:51.280
<v Speaker 1>how many buildings in Atlantic question is that just off

0:23:51.280 --> 0:23:53.680
<v Speaker 1>the top of my head, I mean, I know Atlanta,

0:23:53.800 --> 0:23:55.159
<v Speaker 1>I know how to get where I need to go,

0:23:55.560 --> 0:23:58.840
<v Speaker 1>but I don't have like the firmest vision in my

0:23:58.920 --> 0:24:02.000
<v Speaker 1>head of its limits and its size and it's true

0:24:02.000 --> 0:24:06.199
<v Speaker 1>shape and and scope and Unlikewise, I don't have a

0:24:06.240 --> 0:24:08.960
<v Speaker 1>great idea of like just off the top of my head,

0:24:09.040 --> 0:24:12.320
<v Speaker 1>like how many buildings tend to occupy, say a given

0:24:12.440 --> 0:24:16.040
<v Speaker 1>square of you know, of of urban real estate. Now,

0:24:16.080 --> 0:24:19.760
<v Speaker 1>I think you could still do better than chance guessing

0:24:19.760 --> 0:24:22.359
<v Speaker 1>at this, even not knowing those things, if we just

0:24:22.760 --> 0:24:29.000
<v Speaker 1>uh leverage the power of making wild donkey guesses, uh,

0:24:29.040 --> 0:24:31.880
<v Speaker 1>and then and then bring it together with some math

0:24:31.960 --> 0:24:33.600
<v Speaker 1>in in terms of the thing we're going to talk

0:24:33.600 --> 0:24:35.360
<v Speaker 1>about in the mid in a bit, which is firm

0:24:35.359 --> 0:24:39.680
<v Speaker 1>me estimation. But back the gumball, the gumball jars, that's doable.

0:24:40.000 --> 0:24:42.119
<v Speaker 1>You might look at a gumball jar and what you

0:24:42.200 --> 0:24:45.200
<v Speaker 1>probably do is try to gut feel it. Right, Yeah,

0:24:45.440 --> 0:24:48.320
<v Speaker 1>because with the gumball um the container, I can see

0:24:48.320 --> 0:24:51.159
<v Speaker 1>how big the overall container is. I can make a

0:24:51.320 --> 0:24:55.439
<v Speaker 1>rough visual guess about how many gumballs occupy a given

0:24:55.480 --> 0:24:58.200
<v Speaker 1>area and then just sort of roughly multiply that area

0:24:58.240 --> 0:25:00.960
<v Speaker 1>in my mind until it fills up the space of container. Yeah. Yeah,

0:25:01.040 --> 0:25:04.439
<v Speaker 1>So yeah, you're you're trying to eyeball it. Uh, but

0:25:04.520 --> 0:25:06.960
<v Speaker 1>I contend you can do better. So Okay, So you

0:25:07.040 --> 0:25:09.639
<v Speaker 1>might Robert picture yourself at the County Fair is that

0:25:09.720 --> 0:25:12.800
<v Speaker 1>usually where the gumballs would be. Oh, I tend to

0:25:13.320 --> 0:25:17.240
<v Speaker 1>encounter them in like school fair scenarios. Okay, school fair,

0:25:17.280 --> 0:25:19.440
<v Speaker 1>you know, that's exactly I was talking to Rachel about.

0:25:19.480 --> 0:25:21.200
<v Speaker 1>She used to when she was a kid. She always

0:25:21.200 --> 0:25:23.199
<v Speaker 1>wanted to be able to guess the number of gumballs

0:25:23.240 --> 0:25:27.080
<v Speaker 1>that were at their school spring fling, I think, and

0:25:27.160 --> 0:25:28.680
<v Speaker 1>she never got it right. They had to do them

0:25:28.720 --> 0:25:31.400
<v Speaker 1>at you know, bars and restaurants. More like a container

0:25:31.440 --> 0:25:34.879
<v Speaker 1>of pickled eggs. That's perfect. You know how many pickled eggs.

0:25:35.160 --> 0:25:37.760
<v Speaker 1>Guess the number of pickled eggs. Get a free pickled egg. Okay, so,

0:25:37.800 --> 0:25:40.520
<v Speaker 1>but you're at a school fair then, Robert and uh,

0:25:40.600 --> 0:25:42.679
<v Speaker 1>it's guess how many gumballs are in the jar. The

0:25:42.720 --> 0:25:46.439
<v Speaker 1>closest guests gets a prize. What's the prize? It is

0:25:46.600 --> 0:25:52.879
<v Speaker 1>a deep fried, unopened can of corned beef. Hash uh

0:25:53.119 --> 0:25:56.920
<v Speaker 1>laughing at my own jokes. That's bad. Uh. So now

0:25:57.560 --> 0:25:59.480
<v Speaker 1>this game is easy to play, right because you can

0:25:59.480 --> 0:26:02.680
<v Speaker 1>eyeball it. You look at the jar somewhere deep behind

0:26:02.680 --> 0:26:05.399
<v Speaker 1>the curtain in your brain, a damon rises out of

0:26:05.440 --> 0:26:09.119
<v Speaker 1>the darkness and just plants this random, wild ass number

0:26:09.119 --> 0:26:12.760
<v Speaker 1>in your mind. It's like two hundred and thirty, and

0:26:12.840 --> 0:26:14.760
<v Speaker 1>you look at the jar again and you think that

0:26:14.800 --> 0:26:17.360
<v Speaker 1>sounds about right, you write it down. You hope you win,

0:26:17.680 --> 0:26:20.719
<v Speaker 1>but you don't win because who won. The person who

0:26:20.760 --> 0:26:24.240
<v Speaker 1>won was somebody who did some rough math. Because if

0:26:24.240 --> 0:26:26.480
<v Speaker 1>you stop to think about it, you do have some

0:26:26.560 --> 0:26:29.440
<v Speaker 1>ways of knowing about how many gumballs are in the jar.

0:26:29.560 --> 0:26:32.800
<v Speaker 1>If you've got some basic like high school geometry and

0:26:32.840 --> 0:26:35.440
<v Speaker 1>a pair of eyes, you can start getting a solid

0:26:35.560 --> 0:26:38.560
<v Speaker 1>rough estimate to work with. So, Robert, I put a

0:26:38.600 --> 0:26:43.199
<v Speaker 1>picture of some gumballs in our notes here, and I

0:26:43.240 --> 0:26:46.760
<v Speaker 1>already did some calculations on this. But um, so this

0:26:46.800 --> 0:26:49.560
<v Speaker 1>is a jar of gumballs, right? You attest that it?

0:26:49.600 --> 0:26:52.399
<v Speaker 1>Truly it does look like a jar of gunballs. No,

0:26:52.560 --> 0:26:55.560
<v Speaker 1>this is a two dimensional image. I have no idea

0:26:55.640 --> 0:26:58.800
<v Speaker 1>how how long this could be. This could be I'd

0:26:58.800 --> 0:27:00.680
<v Speaker 1>assume that it shaped like a are, but it could

0:27:00.720 --> 0:27:03.639
<v Speaker 1>be shaped like something else. Yeah, well we'll just assume

0:27:03.640 --> 0:27:07.520
<v Speaker 1>it's basically circular. So for simplicity's sake. One thing that's

0:27:07.560 --> 0:27:10.639
<v Speaker 1>a really good method when trying to come up with

0:27:10.680 --> 0:27:15.840
<v Speaker 1>these rough math guesses is skip standard units of measure.

0:27:16.000 --> 0:27:19.639
<v Speaker 1>Don't measure things in terms of inches, centimeters, pounds, whatever,

0:27:20.119 --> 0:27:22.919
<v Speaker 1>measure in terms of something that you're directly looking at.

0:27:23.040 --> 0:27:26.639
<v Speaker 1>So instead of measuring the size of the jar in

0:27:26.800 --> 0:27:30.720
<v Speaker 1>inches or centimeters, we're gonna calculate it in units of gumballs. Okay, like,

0:27:30.760 --> 0:27:35.000
<v Speaker 1>don't try and measure in calories. Continue. So, look, you

0:27:35.000 --> 0:27:36.919
<v Speaker 1>look at a jar and you think how many gumballs

0:27:36.920 --> 0:27:39.480
<v Speaker 1>are wide? Does it look like this jar is in

0:27:39.560 --> 0:27:43.760
<v Speaker 1>diameter ten? Maybe? I guess nine if you want to

0:27:43.760 --> 0:27:46.520
<v Speaker 1>go with nine, nine sounds good, okay. And then how

0:27:46.520 --> 0:27:50.280
<v Speaker 1>many gumballs high? Do you think that the jar looks? Oh,

0:27:50.359 --> 0:27:52.960
<v Speaker 1>I'd say more than that, like twelve or thirteen. I

0:27:53.000 --> 0:27:57.960
<v Speaker 1>guess ten. Okay, we'll go with ten. Okay, let's go

0:27:58.000 --> 0:28:01.720
<v Speaker 1>with him. Yeah, okay, Now now I feel like I've

0:28:01.720 --> 0:28:04.000
<v Speaker 1>stomped all over your guests. No, no, no, no, I

0:28:04.000 --> 0:28:05.920
<v Speaker 1>think it's I think that's good because if I sort

0:28:05.920 --> 0:28:08.320
<v Speaker 1>of turn it sideways, it's it's still it's a very

0:28:08.359 --> 0:28:13.720
<v Speaker 1>square looking jar, all right. So it's about nine in diameter,

0:28:13.800 --> 0:28:17.200
<v Speaker 1>about ten tall. Now, a jar is roughly a cylinder, right,

0:28:17.640 --> 0:28:20.879
<v Speaker 1>You remember from geometry, what's the formula for the volume

0:28:20.880 --> 0:28:23.679
<v Speaker 1>of a cylinder. It's not that complicated volume of a

0:28:23.720 --> 0:28:28.120
<v Speaker 1>cylinder is the area of the circle times the height.

0:28:28.200 --> 0:28:31.640
<v Speaker 1>The area of the circle is pie times the radius squared.

0:28:33.080 --> 0:28:34.720
<v Speaker 1>So you start with the base of the jar the

0:28:34.720 --> 0:28:39.160
<v Speaker 1>circle pie, which is three point fourteen times are. The

0:28:39.200 --> 0:28:42.200
<v Speaker 1>diameter was nine, right, if it's nine across are, the

0:28:42.320 --> 0:28:44.840
<v Speaker 1>radius is four point five because it's half of that.

0:28:45.560 --> 0:28:48.280
<v Speaker 1>The first you square the radius four point five squares

0:28:48.280 --> 0:28:50.320
<v Speaker 1>is a little over twenty. We just go with twenty,

0:28:50.880 --> 0:28:54.400
<v Speaker 1>and then you multiply that times three point fourteen, which

0:28:54.680 --> 0:28:58.760
<v Speaker 1>is sixty two point eight. I'm glad we could agree

0:28:58.760 --> 0:29:02.320
<v Speaker 1>on the the fat the figures here, because otherwise we

0:29:02.320 --> 0:29:06.320
<v Speaker 1>would have had to recalculated everything in our notes. You

0:29:06.360 --> 0:29:10.520
<v Speaker 1>have you have seen through my insistence whatever. Okay, so

0:29:10.560 --> 0:29:12.920
<v Speaker 1>you got sixty two point eight times the height of

0:29:12.920 --> 0:29:17.000
<v Speaker 1>how many gumballs high? Ten? Ten? Alright, So that says

0:29:17.000 --> 0:29:20.040
<v Speaker 1>they're about six hundred and twenty eight gumballs in the jar. Now,

0:29:20.120 --> 0:29:22.720
<v Speaker 1>that's probably not going to be right on the money,

0:29:22.760 --> 0:29:24.480
<v Speaker 1>but I'd say it's also probably going to be a

0:29:24.520 --> 0:29:27.600
<v Speaker 1>lot closer than the real number to the real number

0:29:27.880 --> 0:29:30.200
<v Speaker 1>than if you just eyeballed it. Right, if I had

0:29:30.240 --> 0:29:32.880
<v Speaker 1>eyeballed the jar, I might have said, I don't know

0:29:32.960 --> 0:29:35.479
<v Speaker 1>three hundred and fifty, But now looking back at it,

0:29:35.560 --> 0:29:37.640
<v Speaker 1>I'm like, oh, you know that probably is more than

0:29:37.680 --> 0:29:41.959
<v Speaker 1>three hundred and fifty. Yeah. Yeah. I feel like when

0:29:42.000 --> 0:29:43.760
<v Speaker 1>I was first looking at it, I would have probably

0:29:43.800 --> 0:29:47.280
<v Speaker 1>gone on ten by ten hundred and then try to

0:29:47.320 --> 0:29:49.239
<v Speaker 1>like I think, like, all right, maybe three or four

0:29:49.280 --> 0:29:51.920
<v Speaker 1>deep and I would have gone three hundred four hundred. Yeah,

0:29:51.960 --> 0:29:55.320
<v Speaker 1>but but I think our estimate now is actually probably better. Uh.

0:29:55.320 --> 0:29:57.120
<v Speaker 1>And that's one of the last things you should do

0:29:57.160 --> 0:29:59.880
<v Speaker 1>whenever you do this kind of mathematical calculation is you'll

0:30:00.120 --> 0:30:03.040
<v Speaker 1>get the jar again and you think, is my estimate

0:30:03.920 --> 0:30:06.640
<v Speaker 1>within the realm of possibility? Is it stupid? If I

0:30:06.720 --> 0:30:09.720
<v Speaker 1>came up with thirteen point eight billion gumballs in the jar?

0:30:10.160 --> 0:30:12.760
<v Speaker 1>This is an indication that the math or the counting

0:30:12.800 --> 0:30:15.120
<v Speaker 1>went wrong somewhere along the line. You should back up

0:30:15.160 --> 0:30:19.440
<v Speaker 1>and try again, or the jar is is seriously spooky

0:30:19.560 --> 0:30:21.920
<v Speaker 1>and you try not have anything to do with it. Yeah.

0:30:21.960 --> 0:30:24.960
<v Speaker 1>Another way of checking against reality is to test the

0:30:25.000 --> 0:30:28.440
<v Speaker 1>method in the real world. So would such a method

0:30:28.560 --> 0:30:32.320
<v Speaker 1>actually win you a gumball jar guessing contest? Well, I

0:30:32.320 --> 0:30:35.000
<v Speaker 1>thought I'd do some googling, and I did, and sure, enough.

0:30:35.160 --> 0:30:37.320
<v Speaker 1>I found a blog post about a guy who won

0:30:37.440 --> 0:30:41.040
<v Speaker 1>a gumball jar guessing contest. Somebody asked him what method

0:30:41.040 --> 0:30:43.640
<v Speaker 1>he used, and he said he calculated the volume of

0:30:43.640 --> 0:30:47.080
<v Speaker 1>the cylinder in the jar, and then he randomly added

0:30:47.160 --> 0:30:50.239
<v Speaker 1>twenty five to that number. So it's sort of like

0:30:51.040 --> 0:30:55.360
<v Speaker 1>being the the the the the area of error in

0:30:55.440 --> 0:30:58.040
<v Speaker 1>his calculations. Huh, yeah, I guess it could be. So

0:30:58.080 --> 0:31:02.000
<v Speaker 1>he came up with like seventeen uh, one thousand seven

0:31:02.760 --> 0:31:05.680
<v Speaker 1>five gunballs, and actually it was one thousand, seven hundred

0:31:05.720 --> 0:31:10.960
<v Speaker 1>and fifty. So yeah, so so, so you've got these principles,

0:31:11.040 --> 0:31:13.840
<v Speaker 1>right you. You don't have to just surrender to your

0:31:13.880 --> 0:31:16.800
<v Speaker 1>gut instinct when it's time to guess something. You can

0:31:16.840 --> 0:31:19.840
<v Speaker 1>couple very simple rough math. You know, this is not

0:31:20.160 --> 0:31:24.479
<v Speaker 1>complex calculus or anything like that, with observations that you

0:31:24.480 --> 0:31:26.640
<v Speaker 1>can just get by looking at what's in front of

0:31:26.680 --> 0:31:30.360
<v Speaker 1>you or by drawing on really basic knowledge or even

0:31:30.400 --> 0:31:33.680
<v Speaker 1>just guesses. All you need to do is think about

0:31:33.720 --> 0:31:37.280
<v Speaker 1>the logical relationships between numbers and know how to look

0:31:37.320 --> 0:31:40.000
<v Speaker 1>for those relevant pieces information that might be in your

0:31:40.000 --> 0:31:43.160
<v Speaker 1>memory or might be right in front of your eyes. Now,

0:31:43.160 --> 0:31:46.080
<v Speaker 1>I think it's time to get back to Enrico Fermi, so,

0:31:46.320 --> 0:31:48.880
<v Speaker 1>as we mentioned earlier, for me, was apparently known for

0:31:49.000 --> 0:31:52.720
<v Speaker 1>being a really good guesser when it came to numbers.

0:31:52.920 --> 0:31:56.280
<v Speaker 1>And there is a classic example that's often used as

0:31:56.320 --> 0:32:01.280
<v Speaker 1>an example of how his method of estimation works. Um,

0:32:01.320 --> 0:32:04.560
<v Speaker 1>it would be how many piano tuners are there in

0:32:04.600 --> 0:32:08.960
<v Speaker 1>the city of Chicago. Now, I have found lots of

0:32:09.000 --> 0:32:11.760
<v Speaker 1>different versions of this all over the internet, you know,

0:32:11.840 --> 0:32:15.480
<v Speaker 1>people working it out in different ways. But the goal

0:32:15.680 --> 0:32:19.560
<v Speaker 1>of Fermi estimation is not to hit the number exactly,

0:32:20.320 --> 0:32:24.120
<v Speaker 1>but it is to get into the right ballpark, get

0:32:24.120 --> 0:32:27.280
<v Speaker 1>in striking distance of it, if you will. Yeah. And

0:32:27.360 --> 0:32:30.600
<v Speaker 1>so one version of how many piano tuners are in

0:32:30.760 --> 0:32:35.239
<v Speaker 1>Chicago appears on NASA's Glenn Research Center page. And and

0:32:35.280 --> 0:32:38.640
<v Speaker 1>this is their version. Uh. So they start with how

0:32:38.880 --> 0:32:41.040
<v Speaker 1>would you even begin to calculate that? Well, one number

0:32:41.120 --> 0:32:44.600
<v Speaker 1>you can work with is the population of Chicago. Yeah, okay,

0:32:44.680 --> 0:32:47.080
<v Speaker 1>so that will give you something to start with. So

0:32:47.120 --> 0:32:49.160
<v Speaker 1>they go to the almanac. They say, at this time,

0:32:49.200 --> 0:32:51.880
<v Speaker 1>the Chicago as a population of about three million people.

0:32:52.760 --> 0:32:56.760
<v Speaker 1>Now assume that the average family has four members, so

0:32:56.920 --> 0:32:59.840
<v Speaker 1>like four members per household, So the number of households

0:32:59.840 --> 0:33:03.240
<v Speaker 1>in Chicago is going to be three million divided by four,

0:33:03.320 --> 0:33:08.480
<v Speaker 1>so that's about seven fifty thousand seven households. How many

0:33:08.520 --> 0:33:13.280
<v Speaker 1>households own a piano? They guess one in five. I

0:33:13.280 --> 0:33:16.680
<v Speaker 1>think that's probably kind of high, but I don't know, Yeah,

0:33:16.680 --> 0:33:20.360
<v Speaker 1>I have, I just have no way of of Well.

0:33:20.400 --> 0:33:23.440
<v Speaker 1>One thing you can do in these scenarios that that

0:33:23.520 --> 0:33:25.320
<v Speaker 1>I'll get to in a little more depth than just

0:33:25.360 --> 0:33:28.240
<v Speaker 1>a minute is if you don't know how to guess

0:33:28.280 --> 0:33:32.520
<v Speaker 1>something like what percent of families have a piano in

0:33:32.560 --> 0:33:36.840
<v Speaker 1>their household, you come up with boundaries. So you say, Okay,

0:33:36.880 --> 0:33:40.640
<v Speaker 1>what's the lowest number that would make any sense, what's

0:33:40.680 --> 0:33:43.200
<v Speaker 1>the highest number that would make any sense, and then

0:33:43.280 --> 0:33:46.680
<v Speaker 1>you take what's known as a geometric mean between them,

0:33:46.920 --> 0:33:49.160
<v Speaker 1>which means you multiply them together, and then you take

0:33:49.200 --> 0:33:52.800
<v Speaker 1>the square root of that number. Okay, so the process

0:33:52.840 --> 0:33:55.520
<v Speaker 1>here could be one in ten people have a piano.

0:33:55.600 --> 0:33:57.840
<v Speaker 1>That sounds like that would make pianos a bit too rare.

0:33:58.160 --> 0:34:00.600
<v Speaker 1>One in three. I don't know if they're that common.

0:34:00.880 --> 0:34:03.560
<v Speaker 1>Let's split the difference more or less and go with

0:34:03.640 --> 0:34:06.400
<v Speaker 1>one in five. Yeah, that that's actually really close. So

0:34:06.440 --> 0:34:09.920
<v Speaker 1>if you if you multiply together, um, one in three,

0:34:09.960 --> 0:34:13.040
<v Speaker 1>which would be about point three. Uh, and then one

0:34:13.080 --> 0:34:15.480
<v Speaker 1>in ten, which would be point one. And then you

0:34:15.520 --> 0:34:17.600
<v Speaker 1>take that number and get the square root of it.

0:34:17.880 --> 0:34:20.600
<v Speaker 1>Your answer is like point seventeen, which is close to

0:34:20.960 --> 0:34:24.239
<v Speaker 1>point two, which is one in five. So there we go.

0:34:24.320 --> 0:34:27.359
<v Speaker 1>We're on track. So if one in five families has

0:34:27.400 --> 0:34:30.920
<v Speaker 1>a piano and there are seven hundred and fifty thousand

0:34:30.960 --> 0:34:34.440
<v Speaker 1>families in Chicago, that means there's gonna be one hundred

0:34:34.440 --> 0:34:37.360
<v Speaker 1>and fifty thousand pianos in Chicago. There's a number to

0:34:37.400 --> 0:34:40.320
<v Speaker 1>work with. All right, you got a hundred fifty Now

0:34:40.680 --> 0:34:43.719
<v Speaker 1>that is a number of pianos that are available to

0:34:43.760 --> 0:34:46.520
<v Speaker 1>be tuned. So this can give us a foothold to

0:34:46.560 --> 0:34:49.560
<v Speaker 1>try to figure out how many tuners there are. If

0:34:49.560 --> 0:34:52.719
<v Speaker 1>you've got an average piano tuner, I mean, how many

0:34:52.760 --> 0:34:56.799
<v Speaker 1>pianos do you think they could tune in a day

0:34:57.080 --> 0:34:59.080
<v Speaker 1>in a work day? Okay, this is going with the

0:34:59.080 --> 0:35:02.839
<v Speaker 1>assumption that like they're design like the piano tuner makes

0:35:02.920 --> 0:35:07.120
<v Speaker 1>this his or her um life. Like, they're not just

0:35:07.160 --> 0:35:09.560
<v Speaker 1>doing a little piano tuning on the side, right, this

0:35:09.680 --> 0:35:13.120
<v Speaker 1>is their full time job. Oh I don't know. Um

0:35:13.760 --> 0:35:16.319
<v Speaker 1>lets you have to travel there, you have it I

0:35:16.360 --> 0:35:21.200
<v Speaker 1>mean comfortably, what maybe three or four a day? Well,

0:35:21.640 --> 0:35:23.759
<v Speaker 1>in this estimation they come up with four. I think

0:35:23.800 --> 0:35:25.759
<v Speaker 1>four is a reasonable guests. Yeah, Like I think of

0:35:25.760 --> 0:35:28.600
<v Speaker 1>other jobs, like you know, forst is, my wife's a photographer.

0:35:28.719 --> 0:35:31.200
<v Speaker 1>She's not tuning pianos, but she has to travel somewhere,

0:35:31.320 --> 0:35:33.480
<v Speaker 1>do a session and then come back. And I think, like,

0:35:33.520 --> 0:35:36.840
<v Speaker 1>if she was just just crazy busy, how many should

0:35:36.880 --> 0:35:39.360
<v Speaker 1>could you fit in a day? You know? Like that

0:35:39.440 --> 0:35:42.520
<v Speaker 1>seems about right. Yeah. Another option, if we didn't believe

0:35:42.640 --> 0:35:46.200
<v Speaker 1>that four days, we could do the geometric mean again,

0:35:46.600 --> 0:35:49.480
<v Speaker 1>we could say, well, it's got to be more than one,

0:35:50.320 --> 0:35:54.560
<v Speaker 1>and it can't be more than what like six, I

0:35:54.560 --> 0:35:56.400
<v Speaker 1>mean that that'd just be care you can't be certainly

0:35:56.400 --> 0:35:59.560
<v Speaker 1>can't be more than eight. Um. So then you'd get

0:35:59.560 --> 0:36:01.279
<v Speaker 1>a GMO tricked me and that that probably put it

0:36:01.320 --> 0:36:03.319
<v Speaker 1>a little bit lower than four, but you'd still have

0:36:03.719 --> 0:36:07.320
<v Speaker 1>some number in that, you know, three something like that, Okay,

0:36:07.400 --> 0:36:09.160
<v Speaker 1>And then of course you assume they don't work on

0:36:09.200 --> 0:36:11.640
<v Speaker 1>the weekends and they've got a two week vacation during

0:36:11.640 --> 0:36:15.040
<v Speaker 1>the summer. So that's fifty weeks in a year of

0:36:15.239 --> 0:36:18.920
<v Speaker 1>tuning four pianos a day, five days a week. So

0:36:19.000 --> 0:36:22.680
<v Speaker 1>that means in one year, the average worker, the average

0:36:22.680 --> 0:36:26.880
<v Speaker 1>piano tuner, would service one thousand pianos. Now, if we

0:36:27.000 --> 0:36:30.479
<v Speaker 1>said that there are a hundred and fifty thousand pianos

0:36:30.520 --> 0:36:33.360
<v Speaker 1>in the city of Chicago, that means there should be

0:36:33.360 --> 0:36:35.920
<v Speaker 1>about a hundred and fifty piano tuners in the city.

0:36:36.160 --> 0:36:38.839
<v Speaker 1>I don't know, does that number sound reasonable. It's at

0:36:38.920 --> 0:36:41.920
<v Speaker 1>least got you in the ballpark. I guess it sounds reasonable.

0:36:42.080 --> 0:36:44.880
<v Speaker 1>I it's I mean, I guess this is a difficult

0:36:44.880 --> 0:36:47.520
<v Speaker 1>thing to check because is there like a Piano Tuners

0:36:47.560 --> 0:36:49.719
<v Speaker 1>Association of America that you can check with on this

0:36:49.800 --> 0:36:52.279
<v Speaker 1>sort of thing. Well, I've seen other estimates that work

0:36:52.280 --> 0:36:56.040
<v Speaker 1>out the number differently, so they they you know, they

0:36:56.120 --> 0:36:58.520
<v Speaker 1>might say, well, I think that your estimate on step

0:36:58.560 --> 0:37:01.160
<v Speaker 1>four here is not smart. I would change it to this,

0:37:01.800 --> 0:37:04.959
<v Speaker 1>and that actually gives me, uh, you know, something more

0:37:05.080 --> 0:37:08.480
<v Speaker 1>like forty piano tuners in the city of Chicago. And

0:37:08.640 --> 0:37:10.400
<v Speaker 1>one thing you can check is you can look at

0:37:10.440 --> 0:37:14.000
<v Speaker 1>see how many are in the phone book. Then again,

0:37:14.160 --> 0:37:16.279
<v Speaker 1>I mean, in this day and age, there's probably a

0:37:16.320 --> 0:37:18.960
<v Speaker 1>lot of things that aren't in the phone book, right, Yeah,

0:37:19.080 --> 0:37:20.879
<v Speaker 1>you kind of end up like the the the yelp

0:37:21.040 --> 0:37:25.040
<v Speaker 1>versus phone book uh tug awar, depending on where you're going,

0:37:25.120 --> 0:37:27.799
<v Speaker 1>is it a yelptown or are they still yellow pages down?

0:37:28.280 --> 0:37:30.120
<v Speaker 1>And and then you're you're you know, you're you're also

0:37:30.360 --> 0:37:33.640
<v Speaker 1>forgetting about all the black market piano tuners out there.

0:37:34.239 --> 0:37:38.200
<v Speaker 1>Uh yeah, but those black market piano tuners get less

0:37:38.239 --> 0:37:42.200
<v Speaker 1>piano tuning done because they're also moonlighting as uh piano

0:37:42.239 --> 0:37:46.879
<v Speaker 1>wire assassins. That's that's true. Now, when you're estimating big

0:37:47.000 --> 0:37:49.600
<v Speaker 1>numbers based on little data, one of the things that's

0:37:49.640 --> 0:37:53.040
<v Speaker 1>really helpful, this helpful concept is the idea of orders

0:37:53.040 --> 0:37:55.319
<v Speaker 1>of magnitude. We've talked about this a little so far,

0:37:55.360 --> 0:37:57.839
<v Speaker 1>but just to be clear about what this is. Um

0:37:57.920 --> 0:38:01.600
<v Speaker 1>when you read about really big a very little numbers

0:38:01.640 --> 0:38:04.120
<v Speaker 1>in science, you'll often see those numbers expressed not in

0:38:04.160 --> 0:38:06.879
<v Speaker 1>full notation, written out. But you've seen this before where

0:38:07.000 --> 0:38:11.000
<v Speaker 1>it is scientific notation. It's a like four point eight

0:38:11.040 --> 0:38:14.920
<v Speaker 1>times tend to the nineteen or something like that. That

0:38:14.920 --> 0:38:18.800
<v Speaker 1>would be a really big number. And so U instead

0:38:18.840 --> 0:38:22.200
<v Speaker 1>of writing a thousand, you write like ten to the three,

0:38:22.840 --> 0:38:25.560
<v Speaker 1>or instead of writing point zero zero one, it's ten

0:38:25.640 --> 0:38:28.760
<v Speaker 1>to the negative three, and you get more precise instead

0:38:28.800 --> 0:38:31.680
<v Speaker 1>of two thousand, five hundred, you write two point five

0:38:31.760 --> 0:38:34.759
<v Speaker 1>times ten to the three or instead of point zero

0:38:34.840 --> 0:38:37.760
<v Speaker 1>zero zero zero eight seven, it's eight point seven times

0:38:37.760 --> 0:38:40.600
<v Speaker 1>tend to the negative five. Right, So you've you've got

0:38:40.760 --> 0:38:44.359
<v Speaker 1>orders of magnitude, and they are the exponent in that

0:38:44.440 --> 0:38:47.520
<v Speaker 1>type of notation. Every time the exponent goes up or

0:38:47.600 --> 0:38:51.040
<v Speaker 1>down a number, that's an order of magnitude. Another simpler

0:38:51.040 --> 0:38:52.920
<v Speaker 1>way of thinking about this is that the order of

0:38:52.960 --> 0:38:56.040
<v Speaker 1>magnitude is just the number of digits in a number.

0:38:56.400 --> 0:39:00.800
<v Speaker 1>Get single digit number, double digit, triple digit, quadruple digit, um.

0:39:00.840 --> 0:39:03.400
<v Speaker 1>When somebody is talking about the number of figures in

0:39:03.440 --> 0:39:07.239
<v Speaker 1>a salary, they're concerned about orders of magnitude. You know.

0:39:07.280 --> 0:39:09.480
<v Speaker 1>One thing this reminds me of is, of course, the

0:39:09.200 --> 0:39:14.040
<v Speaker 1>the classic educational film created by the Aims uh the

0:39:14.080 --> 0:39:17.000
<v Speaker 1>Powers of Tin which granted that so there's a visual,

0:39:17.280 --> 0:39:19.560
<v Speaker 1>very strong visual element to that as well, but it

0:39:19.600 --> 0:39:24.160
<v Speaker 1>basically seeks out to explain and make digestible the scale

0:39:24.200 --> 0:39:27.520
<v Speaker 1>of the universe. This is that classic zooming in and out.

0:39:28.120 --> 0:39:30.680
<v Speaker 1>That thing is great, it is, it's still it's wonderful,

0:39:30.680 --> 0:39:33.359
<v Speaker 1>still holds up really well today and uh and it's

0:39:33.400 --> 0:39:35.800
<v Speaker 1>just you know, phenomenal to watch. But yeah, by considering

0:39:35.840 --> 0:39:38.279
<v Speaker 1>the order of magnitude, like, it's able to make some

0:39:38.400 --> 0:39:40.759
<v Speaker 1>of these that the scale is able to make the

0:39:40.800 --> 0:39:43.520
<v Speaker 1>scale of the universe more digestible. Yeah. Now, if you

0:39:43.600 --> 0:39:45.480
<v Speaker 1>haven't seen that, go out and google it right now.

0:39:45.520 --> 0:39:47.400
<v Speaker 1>You can put us on pause. It's it's worth that

0:39:47.440 --> 0:39:49.879
<v Speaker 1>you should really watch. I think it's on YouTube, isn't it. Yes,

0:39:49.920 --> 0:39:53.760
<v Speaker 1>I believe that there's an official YouTube version of it.

0:39:53.760 --> 0:39:57.279
<v Speaker 1>It's just it's fantastic. Um. But yeah, So back to

0:39:57.440 --> 0:39:59.840
<v Speaker 1>why why to orders of magnitude matter? Well, for me,

0:40:00.080 --> 0:40:06.640
<v Speaker 1>estimation that this uh process that was really made immortal

0:40:06.840 --> 0:40:10.200
<v Speaker 1>by Enrico Fermi, is a way of easily guessing numbers

0:40:10.200 --> 0:40:13.960
<v Speaker 1>by rounding up or down by orders of magnitude and

0:40:14.000 --> 0:40:17.360
<v Speaker 1>then calculating based on these easy to work with round numbers.

0:40:17.360 --> 0:40:19.480
<v Speaker 1>So we started doing that in our last example right

0:40:19.480 --> 0:40:24.680
<v Speaker 1>when we were taking geometrical means. Um. But the basic

0:40:24.760 --> 0:40:29.080
<v Speaker 1>way that a Fermi estimation problem works is you start

0:40:29.080 --> 0:40:31.799
<v Speaker 1>by figuring out what are the key assumptions, what are

0:40:31.840 --> 0:40:34.239
<v Speaker 1>the factors you would need to know in order in

0:40:34.360 --> 0:40:37.080
<v Speaker 1>order to calculate your answer. So in the piano tune

0:40:37.120 --> 0:40:38.960
<v Speaker 1>or example, you'd be like, well, Okay, if we know

0:40:39.040 --> 0:40:43.040
<v Speaker 1>the city of Chicago has a certain population, and we

0:40:43.160 --> 0:40:46.080
<v Speaker 1>know that piano tuners can tune a certain amount of

0:40:46.080 --> 0:40:50.439
<v Speaker 1>pianos each week, we can derive from those numbers what

0:40:50.520 --> 0:40:53.520
<v Speaker 1>we need to calculate our answer. So the next step

0:40:53.560 --> 0:40:56.440
<v Speaker 1>would be like thinking about what order of magnitude your

0:40:56.560 --> 0:40:59.319
<v Speaker 1>your key pieces of information are on. So like when

0:40:59.360 --> 0:41:02.000
<v Speaker 1>you're making a guess, this is where the boundaries come in.

0:41:02.400 --> 0:41:04.840
<v Speaker 1>If you have no idea for a number, if somebody

0:41:04.880 --> 0:41:09.359
<v Speaker 1>asks you, um, how many lucky charms marshmallows have ever

0:41:09.400 --> 0:41:13.000
<v Speaker 1>been manufactured on planet Earth? You have no idea, right,

0:41:13.160 --> 0:41:15.680
<v Speaker 1>I mean I wouldn't even know where to start, absolutely

0:41:15.719 --> 0:41:17.719
<v Speaker 1>no idea. But actually you you do know where to

0:41:17.760 --> 0:41:21.239
<v Speaker 1>start because you can play with boundaries again. Okay, so

0:41:21.320 --> 0:41:23.839
<v Speaker 1>what's a low number that you you know it's got

0:41:23.840 --> 0:41:27.040
<v Speaker 1>to be more than ten thousand? I mean that's ridiculous,

0:41:27.080 --> 0:41:30.839
<v Speaker 1>more than ten for sure. Yeah, but you keep keep

0:41:30.880 --> 0:41:35.560
<v Speaker 1>bringing your lower bound up so you know it's more

0:41:35.640 --> 0:41:39.120
<v Speaker 1>than a hundred thousand, right you know? Well yeah, because

0:41:39.480 --> 0:41:41.080
<v Speaker 1>you know, in fact, you probably know it's more than

0:41:41.120 --> 0:41:42.840
<v Speaker 1>a million, because what do you think at least a

0:41:42.840 --> 0:41:45.160
<v Speaker 1>million people of eating a bowl of lucky Charms at

0:41:45.200 --> 0:41:48.080
<v Speaker 1>some point in history. Yeah, it's been around for at

0:41:48.160 --> 0:41:50.920
<v Speaker 1>least decades. Yeah, and so if at least a million

0:41:50.960 --> 0:41:54.000
<v Speaker 1>people of eating a bowl of lucky Charms and each

0:41:54.080 --> 0:41:56.640
<v Speaker 1>bowl had more than one marshmallow in it, you know

0:41:56.760 --> 0:42:00.040
<v Speaker 1>there's at least more than a million. Um. I that

0:42:00.200 --> 0:42:02.640
<v Speaker 1>we could even go safely to ten million, but I

0:42:02.640 --> 0:42:05.440
<v Speaker 1>don't know. I'll stick to a million. That's our lower bound.

0:42:06.080 --> 0:42:09.080
<v Speaker 1>And then, uh, you know what's the upper bound? I mean,

0:42:09.120 --> 0:42:14.759
<v Speaker 1>you know there cannot have been ten trillion of these marshmallows, right,

0:42:14.800 --> 0:42:18.839
<v Speaker 1>there's just too many. Way Yeah, Okay, so now you've

0:42:18.840 --> 0:42:23.200
<v Speaker 1>actually got boundaries, so you know there's less than ten trillion,

0:42:23.600 --> 0:42:27.720
<v Speaker 1>and a geometric mean between one million and ten trillion

0:42:27.920 --> 0:42:31.080
<v Speaker 1>is ten billion? Is that anywhere close to the right answer?

0:42:31.160 --> 0:42:33.399
<v Speaker 1>Well maybe not, But now you've got something to work

0:42:33.440 --> 0:42:36.239
<v Speaker 1>with that's better than you started with, which was just

0:42:36.320 --> 0:42:39.399
<v Speaker 1>I have no idea. Well, this is quite a useful tool.

0:42:39.440 --> 0:42:41.480
<v Speaker 1>We've been we've been talking about those far because I

0:42:41.520 --> 0:42:44.000
<v Speaker 1>can already see the ways that this can be easily

0:42:44.080 --> 0:42:47.799
<v Speaker 1>applied to say the person's work week. You know, how

0:42:47.880 --> 0:42:51.080
<v Speaker 1>much how much of um, you know, my given work

0:42:51.080 --> 0:42:53.520
<v Speaker 1>can I fit in could I, you know, could could

0:42:53.520 --> 0:42:56.680
<v Speaker 1>I write this many articles? Could I write this many?

0:42:56.719 --> 0:42:59.560
<v Speaker 1>What's the what's the most extravagant and the smallest number?

0:42:59.560 --> 0:43:02.279
<v Speaker 1>And then ending that middle ground. Right, So yeah, but

0:43:02.560 --> 0:43:05.960
<v Speaker 1>remember it's not just the simple mean, because what what

0:43:06.000 --> 0:43:09.080
<v Speaker 1>you're really looking for is the geometric mean, which again

0:43:09.280 --> 0:43:12.239
<v Speaker 1>is instead of so the simple mean simple average is

0:43:12.320 --> 0:43:15.960
<v Speaker 1>you add them together and divide by two. The geometric

0:43:16.040 --> 0:43:19.400
<v Speaker 1>mean is multiply them together and then take the square root.

0:43:19.719 --> 0:43:21.640
<v Speaker 1>So if you say, how many articles do you think

0:43:21.680 --> 0:43:23.799
<v Speaker 1>you could write in a week, Robert, what's the what's

0:43:23.840 --> 0:43:29.160
<v Speaker 1>the highest possible number? That's kind of crazy, the highest

0:43:29.160 --> 0:43:33.840
<v Speaker 1>possible number. We'll just without boring anybody about details and

0:43:33.880 --> 0:43:36.840
<v Speaker 1>get into a big conversation about which form of article, etcetera.

0:43:37.120 --> 0:43:41.960
<v Speaker 1>Let's just go ahead and say, um, twenty articles twenty Okay, Now,

0:43:42.000 --> 0:43:47.359
<v Speaker 1>what's a really low ball number, lazy as heck, Let's

0:43:47.360 --> 0:43:51.560
<v Speaker 1>say four or five. Let's say five just to keep

0:43:51.600 --> 0:43:55.400
<v Speaker 1>it cleaner, maybe, or four, whichever one is easier to compute. Okay,

0:43:55.440 --> 0:43:59.160
<v Speaker 1>so four times twenty. Then take the square root of

0:43:59.160 --> 0:44:03.360
<v Speaker 1>that number. It's about eight point nine or nine. So

0:44:03.760 --> 0:44:08.000
<v Speaker 1>that's a number, all right, That that's better than not

0:44:08.040 --> 0:44:10.120
<v Speaker 1>having anything to work with. One of the key things

0:44:10.160 --> 0:44:13.279
<v Speaker 1>about this type of estimation is that it's useful, but

0:44:13.360 --> 0:44:16.000
<v Speaker 1>it's only useful if you treat it critically. I mean,

0:44:16.000 --> 0:44:19.279
<v Speaker 1>obviously you can't just generate numbers using this method and

0:44:19.280 --> 0:44:21.920
<v Speaker 1>then go with them. But it does give you a

0:44:21.960 --> 0:44:25.720
<v Speaker 1>place to a foothold, essentially for thinking about numbers. Whereas

0:44:25.840 --> 0:44:29.960
<v Speaker 1>you started with paralysis, you're starting staring into a void

0:44:30.000 --> 0:44:32.520
<v Speaker 1>of all possible numbers and you have no idea where

0:44:32.560 --> 0:44:36.440
<v Speaker 1>to start FIRMI estimation helps give you a place to

0:44:36.520 --> 0:44:39.359
<v Speaker 1>start with and say is that reasonable? And you can

0:44:39.400 --> 0:44:43.200
<v Speaker 1>work up and down from there. Um. But okay, so

0:44:43.200 --> 0:44:45.399
<v Speaker 1>so you've got that. When when you want to get

0:44:45.440 --> 0:44:47.440
<v Speaker 1>a factor and you have no idea what it is,

0:44:47.680 --> 0:44:52.040
<v Speaker 1>put some boundaries in place and then take a geometric mean. Um. Now,

0:44:52.160 --> 0:44:54.959
<v Speaker 1>once you use these assumptions, you make a rough calculation

0:44:55.080 --> 0:44:58.319
<v Speaker 1>like they did with the piano tuners example, and then

0:44:58.360 --> 0:45:00.839
<v Speaker 1>you look at your answer and you do a reality check.

0:45:01.320 --> 0:45:04.400
<v Speaker 1>You say, is this reasonable? Is this number within the

0:45:04.400 --> 0:45:07.040
<v Speaker 1>realm of possibility? And do I need to go back

0:45:07.040 --> 0:45:10.400
<v Speaker 1>and adjust anything I did before. Now this might be

0:45:10.440 --> 0:45:12.960
<v Speaker 1>a terrible example, but I kind of wanted to just

0:45:13.080 --> 0:45:16.360
<v Speaker 1>have us try one on the fly. Okay, let's do it. Okay,

0:45:16.440 --> 0:45:18.960
<v Speaker 1>so you want to guess a totally unknown number. And

0:45:19.040 --> 0:45:23.399
<v Speaker 1>here's my question. How many pounds of hair do Americans

0:45:23.480 --> 0:45:26.120
<v Speaker 1>get cut off their heads in total each year? Not

0:45:26.280 --> 0:45:30.439
<v Speaker 1>individual Americans, all of America? How many pounds of hair

0:45:30.560 --> 0:45:35.839
<v Speaker 1>are cut? All? Right? Well, the obvious starting point there

0:45:35.880 --> 0:45:38.720
<v Speaker 1>would be how many Americans are we dealing with? Right? Okay,

0:45:38.760 --> 0:45:41.600
<v Speaker 1>so there you go. So how many Americans there? I

0:45:41.600 --> 0:45:44.400
<v Speaker 1>think there are what like three? Do you want to

0:45:44.400 --> 0:45:47.480
<v Speaker 1>go with the three hundred and there are more than

0:45:47.480 --> 0:45:50.560
<v Speaker 1>three hundred million, but we could round down to make

0:45:50.560 --> 0:45:53.719
<v Speaker 1>it simple. Three hundred millions sounds good. Okay, so we've

0:45:53.719 --> 0:45:57.359
<v Speaker 1>got three hundred million Americans? Uh, in a very rough estimate. Now,

0:45:57.440 --> 0:46:00.600
<v Speaker 1>how many pounds of hair on average does American have?

0:46:01.280 --> 0:46:04.160
<v Speaker 1>This is going to vary widely. Some people have dreadlocks

0:46:04.200 --> 0:46:07.600
<v Speaker 1>to their knees, some people are totally bald. But what's

0:46:07.600 --> 0:46:10.000
<v Speaker 1>a good average that would put us right in the middle,

0:46:10.440 --> 0:46:13.080
<v Speaker 1>like the pounds and like how much hair they haven't

0:46:13.080 --> 0:46:14.960
<v Speaker 1>cut off or just how much hair they have have?

0:46:15.239 --> 0:46:17.600
<v Speaker 1>Al Right? Well, alright, well, I think what do I

0:46:17.640 --> 0:46:20.880
<v Speaker 1>know the weight of the human brain is about three pounds.

0:46:21.120 --> 0:46:24.720
<v Speaker 1>I feel like hair weighs less than a brain in general,

0:46:24.840 --> 0:46:29.239
<v Speaker 1>so I would say a pound of hair. It still

0:46:29.280 --> 0:46:31.279
<v Speaker 1>kind of feels big. Yeah, I would tend to think

0:46:31.320 --> 0:46:34.560
<v Speaker 1>that people on average have less than a pound of hair.

0:46:34.640 --> 0:46:38.120
<v Speaker 1>I mean, somebody who has really long hair maybe might

0:46:38.200 --> 0:46:41.759
<v Speaker 1>have a pound of hair. I don't know. Maybe this

0:46:41.800 --> 0:46:44.359
<v Speaker 1>is the beauty of it. Just rough gas, Okay, like

0:46:44.400 --> 0:46:47.600
<v Speaker 1>a quarter of a pound. Okay, let's start with five

0:46:48.000 --> 0:46:50.920
<v Speaker 1>pounds of hair per person. Okay, Well, I did just

0:46:50.960 --> 0:46:53.640
<v Speaker 1>do the calculation of how many pounds of hair there

0:46:53.680 --> 0:46:56.280
<v Speaker 1>are in America, but we might not actually need that figure.

0:46:56.680 --> 0:47:00.160
<v Speaker 1>So three million people times a quarter pound of hair

0:47:00.239 --> 0:47:03.160
<v Speaker 1>per person is seventy five million pounds of hair. But

0:47:03.280 --> 0:47:04.920
<v Speaker 1>like I said, we might not need it. In fact,

0:47:05.760 --> 0:47:08.280
<v Speaker 1>let's just stick with the quarter pounds of hair per person.

0:47:09.320 --> 0:47:13.160
<v Speaker 1>What percentage of your hair does the average person get

0:47:13.160 --> 0:47:15.160
<v Speaker 1>cut off in a haircut? Again, this is going to

0:47:15.360 --> 0:47:17.759
<v Speaker 1>vary wildly. Some people get there, you know, long hair

0:47:17.760 --> 0:47:20.799
<v Speaker 1>shaved completely off. Some people get a tiny little trim.

0:47:20.880 --> 0:47:23.359
<v Speaker 1>But on average, what what is the mass of your

0:47:23.360 --> 0:47:26.759
<v Speaker 1>hair that is removed in a haircut? Um off? Off hand?

0:47:26.760 --> 0:47:30.880
<v Speaker 1>I'm thinking, Okay, I would guess kind of higher. I

0:47:30.960 --> 0:47:34.080
<v Speaker 1>was thinking I probably wait too long to get a haircut,

0:47:34.200 --> 0:47:37.640
<v Speaker 1>So with me, I think it's like fifty percent um.

0:47:37.680 --> 0:47:40.120
<v Speaker 1>But maybe we can get get in between them. I

0:47:40.120 --> 0:47:42.600
<v Speaker 1>don't know if everybody other people wait as long as

0:47:42.640 --> 0:47:44.480
<v Speaker 1>I do and look as scruffy as I do by

0:47:44.480 --> 0:47:48.040
<v Speaker 1>the time I go in, or or just get people

0:47:48.080 --> 0:47:53.600
<v Speaker 1>get you know, really well groomed all the time. Let's say, uh,

0:47:55.239 --> 0:47:57.080
<v Speaker 1>ok or you can go with high thirty if you want.

0:47:57.080 --> 0:48:00.040
<v Speaker 1>I feel like like thirties, not too high. Okay. It

0:48:01.280 --> 0:48:03.320
<v Speaker 1>feels like enough to where you would say, hey, you

0:48:03.400 --> 0:48:05.919
<v Speaker 1>got a haircut, didn't you, Whereas if you go too low,

0:48:06.200 --> 0:48:09.319
<v Speaker 1>you more attempted to say, hey, your hair is a

0:48:09.320 --> 0:48:11.839
<v Speaker 1>little wetter than normal or something, you know. I mean,

0:48:12.080 --> 0:48:15.000
<v Speaker 1>thet seems like it would be like a comfortable level

0:48:15.000 --> 0:48:17.480
<v Speaker 1>of notice, but not a woe did you join a

0:48:17.520 --> 0:48:23.160
<v Speaker 1>cult level of haircut? Okay, Well, that gives us a number. Actually,

0:48:23.239 --> 0:48:25.400
<v Speaker 1>So if we say that the average person has a

0:48:25.440 --> 0:48:28.600
<v Speaker 1>quarter pound of hair, and that thirty percent of their

0:48:28.600 --> 0:48:31.759
<v Speaker 1>hair is removed in the average haircut, that means that

0:48:31.840 --> 0:48:36.359
<v Speaker 1>the average haircut in America removes point zero seven five

0:48:36.440 --> 0:48:40.520
<v Speaker 1>pounds of hair Okay, Now that's going to vary widely

0:48:40.560 --> 0:48:42.279
<v Speaker 1>up and down again, but we're just trying to get

0:48:42.280 --> 0:48:46.080
<v Speaker 1>an average. Now, if we say that the average haircut

0:48:46.160 --> 0:48:48.640
<v Speaker 1>removes x amount of hair, all we need to know

0:48:48.920 --> 0:48:52.319
<v Speaker 1>now are how many haircuts there are in America every year,

0:48:53.480 --> 0:48:57.200
<v Speaker 1>So we already know how many people there are. How

0:48:57.280 --> 0:49:01.880
<v Speaker 1>often would you say that the average person gets a haircut? Oh,

0:49:02.080 --> 0:49:04.400
<v Speaker 1>this is this is a tough one, right, but I'm

0:49:04.480 --> 0:49:10.279
<v Speaker 1>guessing once every two months. Okay, so six times a year. Yeah,

0:49:10.320 --> 0:49:12.600
<v Speaker 1>that feels maybe a little. That's a little higher than

0:49:12.640 --> 0:49:14.719
<v Speaker 1>what I actually tend to do, like I might do

0:49:14.760 --> 0:49:17.440
<v Speaker 1>it four times a year. Now that they think about it, well,

0:49:17.520 --> 0:49:19.479
<v Speaker 1>let's take the average and go five times. I feel

0:49:19.480 --> 0:49:21.719
<v Speaker 1>like I'm not being very consistent with my mathematic people

0:49:21.760 --> 0:49:23.880
<v Speaker 1>are trying to figure out how fast my hair grows

0:49:23.880 --> 0:49:26.680
<v Speaker 1>based on my strange figures. Here, I guess, but you

0:49:26.760 --> 0:49:30.280
<v Speaker 1>know that sounds good. Okay, So in this case, uh,

0:49:30.560 --> 0:49:33.719
<v Speaker 1>if you get point zero seven five pounds of hair

0:49:33.760 --> 0:49:35.440
<v Speaker 1>removed every time you get a haircut, and you get

0:49:35.480 --> 0:49:38.439
<v Speaker 1>a haircut five times a year, every year, you get

0:49:38.760 --> 0:49:41.960
<v Speaker 1>point three seven five pounds of hair removed from your

0:49:41.960 --> 0:49:46.200
<v Speaker 1>head point three seven five pounds removed every haircut or

0:49:46.200 --> 0:49:49.120
<v Speaker 1>every year. Every year, it's point zero seven five removed

0:49:49.120 --> 0:49:51.840
<v Speaker 1>per haircut, five times a year. That's point three seven

0:49:51.880 --> 0:49:54.480
<v Speaker 1>five pounds. All right, Well that number is that feels

0:49:54.560 --> 0:49:57.040
<v Speaker 1>right to me? Okay, Well, now all we need to

0:49:57.040 --> 0:50:00.319
<v Speaker 1>do is multiply by our three d million people each

0:50:00.400 --> 0:50:02.600
<v Speaker 1>each one of them gets an average of point three

0:50:02.640 --> 0:50:05.520
<v Speaker 1>seven five pounds of hair removed free year, and there

0:50:05.520 --> 0:50:09.600
<v Speaker 1>are three million people, so that gives us a total

0:50:09.960 --> 0:50:13.960
<v Speaker 1>mass of hair removed from human heads in the United

0:50:14.000 --> 0:50:16.880
<v Speaker 1>States every year of about a hundred and twelve million

0:50:17.120 --> 0:50:22.239
<v Speaker 1>pounds hundred and twelve million, five hundred thousand pounds. Does

0:50:22.280 --> 0:50:29.440
<v Speaker 1>that sound right? Mhmm, Well, we feel it feels more

0:50:29.560 --> 0:50:31.960
<v Speaker 1>right having done the leg work, you know what I'm saying, Like,

0:50:32.160 --> 0:50:34.200
<v Speaker 1>we're able to break it down. If you just come

0:50:34.239 --> 0:50:37.359
<v Speaker 1>up with that number just on the fly, I might

0:50:37.400 --> 0:50:39.960
<v Speaker 1>have really kind of um, you know, set there and

0:50:39.960 --> 0:50:41.480
<v Speaker 1>crunched it for a while thing, And I don't know

0:50:41.480 --> 0:50:43.240
<v Speaker 1>if that feels right. But since we did the legwork

0:50:43.239 --> 0:50:46.160
<v Speaker 1>and we dealt with with with quantities that were more

0:50:46.160 --> 0:50:49.560
<v Speaker 1>relatable in order to get there, I'm certainly more inclined

0:50:49.600 --> 0:50:52.759
<v Speaker 1>to trust it now. One of the beautiful things about

0:50:52.800 --> 0:50:57.120
<v Speaker 1>this type of estimation is that errors tend to balance

0:50:57.200 --> 0:51:00.759
<v Speaker 1>each other out. So one of the things we were

0:51:00.800 --> 0:51:03.760
<v Speaker 1>saying as we're going through is we're using very rough figures. Obviously,

0:51:03.800 --> 0:51:06.480
<v Speaker 1>the population in the United States is more than three million.

0:51:06.560 --> 0:51:09.840
<v Speaker 1>We just rounded down to make it easy. Um, the

0:51:10.040 --> 0:51:13.120
<v Speaker 1>amount of hair on each person's head, we don't really know.

0:51:13.200 --> 0:51:15.120
<v Speaker 1>It's a quarter of a pound. That was just a guess.

0:51:15.160 --> 0:51:17.080
<v Speaker 1>That might be too much, that might be too little.

0:51:17.360 --> 0:51:20.880
<v Speaker 1>But as you keep going through the experiment, at each stage,

0:51:21.280 --> 0:51:24.320
<v Speaker 1>you are making a guess, and that guess if unless

0:51:24.360 --> 0:51:29.360
<v Speaker 1>you're consistently biasing in one direction or another, always overestimating

0:51:29.440 --> 0:51:33.719
<v Speaker 1>or always underestimating, your errors will start to balance each

0:51:33.719 --> 0:51:37.120
<v Speaker 1>other out. And this kind of helps keep your answer

0:51:37.239 --> 0:51:40.160
<v Speaker 1>within the bounds of possibility. Even if you're wrong on

0:51:40.160 --> 0:51:42.640
<v Speaker 1>one thing, you might be wrong in the opposite direction

0:51:42.719 --> 0:51:47.200
<v Speaker 1>on another guess. It's kind of like life, and exactly

0:51:47.239 --> 0:51:49.799
<v Speaker 1>it's a lot like the game of life, or you

0:51:49.840 --> 0:51:53.080
<v Speaker 1>mean the life of life. Just just uh, a life

0:51:53.080 --> 0:51:56.439
<v Speaker 1>in general, not Life magazine, but you know that's part

0:51:56.440 --> 0:51:58.799
<v Speaker 1>of life. Oh, I should smack myself for that joke.

0:51:58.920 --> 0:52:02.160
<v Speaker 1>I'm sorry, But anyway, whether or not our answer is correct.

0:52:02.200 --> 0:52:05.520
<v Speaker 1>It maybe totally off the mark, but we've started to

0:52:05.520 --> 0:52:07.640
<v Speaker 1>give ourselves something to work with. And if we really

0:52:07.680 --> 0:52:10.960
<v Speaker 1>cared about this, like if it mattered how much hair

0:52:11.120 --> 0:52:14.400
<v Speaker 1>is removed from Americans heads every year, this would give

0:52:14.480 --> 0:52:16.480
<v Speaker 1>us a good starting place to start working with. One

0:52:16.480 --> 0:52:18.759
<v Speaker 1>of the next steps I think would be would be

0:52:18.800 --> 0:52:21.719
<v Speaker 1>to go back and look at our individual factors that

0:52:21.800 --> 0:52:25.640
<v Speaker 1>we put in throughout that that calculation process and try

0:52:25.680 --> 0:52:28.719
<v Speaker 1>to hone them and say, really, what's reasonable. You know,

0:52:28.760 --> 0:52:30.959
<v Speaker 1>we could start looking at our own heads, the heads

0:52:31.000 --> 0:52:33.239
<v Speaker 1>of people around us in the offenses and saying, it's

0:52:33.280 --> 0:52:35.640
<v Speaker 1>a quarter pound of hair real that sounds kind of high.

0:52:35.680 --> 0:52:39.799
<v Speaker 1>I don't know, but but you you can start refining

0:52:39.880 --> 0:52:42.560
<v Speaker 1>it once you've got something to work with. And that's

0:52:42.600 --> 0:52:46.200
<v Speaker 1>one of the big values of firmi estimation um. Even

0:52:46.239 --> 0:52:49.160
<v Speaker 1>though the method isn't likely to give you a precisely

0:52:49.239 --> 0:52:52.560
<v Speaker 1>correct answer every time, scientists and engineers find this type

0:52:52.560 --> 0:52:56.279
<v Speaker 1>of guessing extremely useful because it gets you into a

0:52:56.360 --> 0:52:59.560
<v Speaker 1>sort of order of magnitude ballpark where you can start

0:52:59.600 --> 0:53:02.920
<v Speaker 1>to check your gas against other modes of estimation or

0:53:02.960 --> 0:53:06.560
<v Speaker 1>against experiments and discoverable facts, and it also helps you

0:53:06.600 --> 0:53:10.719
<v Speaker 1>get your mind around what assumptions are necessary in order

0:53:10.760 --> 0:53:13.600
<v Speaker 1>to compute your final precise number. Does that make sense?

0:53:13.640 --> 0:53:17.879
<v Speaker 1>Like you start to realize what the uh? You take

0:53:18.200 --> 0:53:22.279
<v Speaker 1>things that were unknown unknowns turned into known unknowns. Now

0:53:22.320 --> 0:53:24.920
<v Speaker 1>you at least know what the variables are, even if

0:53:24.960 --> 0:53:28.200
<v Speaker 1>you don't know exactly what the numbers should be. And

0:53:28.280 --> 0:53:31.800
<v Speaker 1>turning an unknown unknown into a known unknown is halfway

0:53:31.840 --> 0:53:34.439
<v Speaker 1>along the process to turning it into a known known

0:53:35.760 --> 0:53:38.560
<v Speaker 1>or even a gnome. Well, let's hope it didn't go

0:53:38.640 --> 0:53:41.040
<v Speaker 1>that far. All right, We're gonna take a quick break,

0:53:41.080 --> 0:53:42.879
<v Speaker 1>and when we come back we will jump back into

0:53:42.880 --> 0:53:47.359
<v Speaker 1>this question of of estimating, gus estimating and UH and

0:53:47.440 --> 0:53:55.719
<v Speaker 1>so forth. Okay, we're back. Now let's look at one

0:53:55.719 --> 0:53:59.520
<v Speaker 1>of the most famous examples of a Fermi estimation type

0:53:59.600 --> 0:54:02.640
<v Speaker 1>problem him in history, and this would be the Drake

0:54:02.680 --> 0:54:07.280
<v Speaker 1>equation and the Fermi paradox. That is an interpretation on it. Yes,

0:54:07.480 --> 0:54:10.680
<v Speaker 1>all right, So in order to get this down, we

0:54:10.719 --> 0:54:13.160
<v Speaker 1>have to go back to nineteen fifty. Now, if you

0:54:13.200 --> 0:54:16.839
<v Speaker 1>remembering from earlier, that's what three years before Fermi's death.

0:54:18.080 --> 0:54:21.400
<v Speaker 1>So go back to nineteen fifty. Firmis having lunch with

0:54:21.440 --> 0:54:24.520
<v Speaker 1>his fellow egg heads at the Lost albumost Jet Propulsion

0:54:24.840 --> 0:54:28.640
<v Speaker 1>Lab Cafeteria. Alright, he's flipping through a copy of The

0:54:28.640 --> 0:54:32.560
<v Speaker 1>New Yorker when he happens upon a particular cartoon. Now,

0:54:33.040 --> 0:54:35.439
<v Speaker 1>I have a picture of the cartoon for really, it's

0:54:35.520 --> 0:54:38.680
<v Speaker 1>the original, the original, Yeah, this is the one, and

0:54:38.920 --> 0:54:40.279
<v Speaker 1>I'll try to include a link to this on the

0:54:40.360 --> 0:54:42.480
<v Speaker 1>landing page for this episode of Stuff to Blow your

0:54:42.480 --> 0:54:44.600
<v Speaker 1>Mind dot com. So what's going on. There's a flying

0:54:44.640 --> 0:54:49.839
<v Speaker 1>saucer and some space people are carrying baskets to and

0:54:49.920 --> 0:54:55.799
<v Speaker 1>from it. Yeah, they're they're collecting garbage apparently, uh furiously enough,

0:54:55.840 --> 0:54:58.120
<v Speaker 1>I don't have the caption here, or I don't know

0:54:58.200 --> 0:55:00.879
<v Speaker 1>they were doing the caption contest back then. But if

0:55:01.000 --> 0:55:03.640
<v Speaker 1>if the caption contest from The New Yorker makes its

0:55:03.640 --> 0:55:06.239
<v Speaker 1>way across your social media feeds, you know exactly what

0:55:06.400 --> 0:55:09.479
<v Speaker 1>sort of cartoon we're talking here. So it's not quite

0:55:09.480 --> 0:55:12.279
<v Speaker 1>far side. It's not a laugh out loud funny, but

0:55:12.680 --> 0:55:14.799
<v Speaker 1>you look at it and your your your wheels began

0:55:14.880 --> 0:55:17.160
<v Speaker 1>to turn a little bit. And that's what happened with Firmy.

0:55:17.239 --> 0:55:20.520
<v Speaker 1>He looks at this, and if he were to enter

0:55:20.600 --> 0:55:24.040
<v Speaker 1>the New York the New Yorker caption contest. His caption

0:55:24.040 --> 0:55:27.520
<v Speaker 1>would have been where is everybody? Because that is, according

0:55:27.560 --> 0:55:29.920
<v Speaker 1>to this story, the question he asked, and he was

0:55:30.000 --> 0:55:34.520
<v Speaker 1>referring to the aliens, to life beyond this insignificant rock

0:55:34.560 --> 0:55:37.839
<v Speaker 1>of ours. He wondered, uh, more specifically, you know, not

0:55:37.880 --> 0:55:39.880
<v Speaker 1>only like where are where these aliens at, but he

0:55:39.920 --> 0:55:45.040
<v Speaker 1>wondered whether interstellar travel was even possible. And indeed, as

0:55:45.040 --> 0:55:48.400
<v Speaker 1>far as we know it has not occurred. You know,

0:55:48.480 --> 0:55:51.480
<v Speaker 1>I mean this when we get we kind of broke

0:55:51.480 --> 0:55:53.640
<v Speaker 1>it down some of this in our the episode the

0:55:53.680 --> 0:55:56.480
<v Speaker 1>Christian and I did on the expanse and the idea

0:55:56.480 --> 0:55:59.560
<v Speaker 1>of just like the vast distances in our universe, like

0:55:59.600 --> 0:56:02.240
<v Speaker 1>even the instances between our planets in our Solar system

0:56:02.239 --> 0:56:05.760
<v Speaker 1>are pretty colossal, and when you start extrapolating that beyond

0:56:05.840 --> 0:56:10.880
<v Speaker 1>our system, uh, it just gets increasingly just incredibly distant.

0:56:10.920 --> 0:56:14.880
<v Speaker 1>There is so much space in space. And so he

0:56:14.960 --> 0:56:17.600
<v Speaker 1>was saying, well, you know, where are they? Is it

0:56:17.640 --> 0:56:21.040
<v Speaker 1>even possible for for life forms to travel between stars?

0:56:21.600 --> 0:56:23.799
<v Speaker 1>Why aren't we seeing them? Why aren't we hearing from them?

0:56:23.840 --> 0:56:28.839
<v Speaker 1>Exactly so FIRMI died, you know, foot four years later,

0:56:28.880 --> 0:56:31.960
<v Speaker 1>at the age of fifty four, but the question that

0:56:32.000 --> 0:56:34.879
<v Speaker 1>he asked lived on, and the problem filtered through the firm,

0:56:34.880 --> 0:56:38.520
<v Speaker 1>these coworkers, his contemporaries, and it became something of a legend.

0:56:39.040 --> 0:56:43.239
<v Speaker 1>And in nive, the astronomer Michael Hart declared that the

0:56:43.320 --> 0:56:45.719
<v Speaker 1>reason we don't see any aliens is because they do

0:56:45.800 --> 0:56:49.600
<v Speaker 1>not exist, which you know, that's that's one possible answer.

0:56:49.719 --> 0:56:52.920
<v Speaker 1>It certainly is. And then in nineteen seventy seven and

0:56:53.000 --> 0:56:56.360
<v Speaker 1>astrophysicists by the name of David G. Stevenson said that

0:56:56.440 --> 0:57:01.120
<v Speaker 1>heart statement could answer firm's question, which he officially dubbed

0:57:01.360 --> 0:57:05.080
<v Speaker 1>Firm's paradox. So to be clear, Fermi himself did not

0:57:05.239 --> 0:57:09.680
<v Speaker 1>pose the question. The paradox is merely named for him

0:57:09.840 --> 0:57:12.040
<v Speaker 1>in honor of him and in accordance with this sort

0:57:12.040 --> 0:57:17.680
<v Speaker 1>of folkloric idea. Right, But the sort of general mode

0:57:17.760 --> 0:57:21.520
<v Speaker 1>of guessing or gues estimating that's now known as Fermi

0:57:21.680 --> 0:57:25.840
<v Speaker 1>estimation or a Fermi type problem is related to this

0:57:26.480 --> 0:57:29.680
<v Speaker 1>because there is what's known as the Drake equation, and

0:57:29.720 --> 0:57:32.920
<v Speaker 1>the Drake equation is kind of like playing the how

0:57:32.960 --> 0:57:37.760
<v Speaker 1>many piano tuners game or in Chicago game with the

0:57:37.800 --> 0:57:42.360
<v Speaker 1>Milky Way galaxy. It is a Fermi guess formulation designed

0:57:42.400 --> 0:57:45.440
<v Speaker 1>to estimate the number of piano tuners in the Milky Way,

0:57:45.560 --> 0:57:48.520
<v Speaker 1>or wait a minute, no, the number of technological civilization

0:57:49.320 --> 0:57:52.240
<v Speaker 1>in the Milky Way galaxy, meaning the number of civilizations

0:57:52.240 --> 0:57:56.360
<v Speaker 1>whose electromagnetic emissions like radio waves, we should be able

0:57:56.400 --> 0:58:00.640
<v Speaker 1>to detect today. And so it takes to form. There's

0:58:00.640 --> 0:58:04.080
<v Speaker 1>actually an equation, says okay, in that's the answer, and

0:58:04.120 --> 0:58:07.120
<v Speaker 1>that's the number of civilizations in the Milky Way galaxy

0:58:07.160 --> 0:58:10.320
<v Speaker 1>whose electromagnetic emissions are detectable. And the version of this

0:58:10.400 --> 0:58:12.960
<v Speaker 1>I'm using is the one that st has on their website.

0:58:13.600 --> 0:58:18.440
<v Speaker 1>And to calculate in you multiply are which is the

0:58:18.520 --> 0:58:21.960
<v Speaker 1>rate of formation of stars suitable for the development of

0:58:21.960 --> 0:58:27.400
<v Speaker 1>intelligent life, by f P, meaning the fraction of those

0:58:27.440 --> 0:58:30.240
<v Speaker 1>stars with planetary systems. Not all stars are going to

0:58:30.320 --> 0:58:34.320
<v Speaker 1>have planets, and then you multiply that by in e

0:58:34.760 --> 0:58:38.000
<v Speaker 1>the number of planets per solar system with an environment

0:58:38.040 --> 0:58:43.360
<v Speaker 1>suitable for life. So every solar system uh might might

0:58:43.400 --> 0:58:46.720
<v Speaker 1>have planets, but wouldn't necessarily have planets within the habitable zone.

0:58:47.280 --> 0:58:49.840
<v Speaker 1>It might be all too hot or too cold. And

0:58:49.880 --> 0:58:53.320
<v Speaker 1>then you've got f L the fraction of suitable planets

0:58:53.360 --> 0:58:55.680
<v Speaker 1>on which life actually appears. Might be a lot of

0:58:55.760 --> 0:58:58.840
<v Speaker 1>nice planets out there, but they're just dead. Uh. And

0:58:58.840 --> 0:59:02.320
<v Speaker 1>then f I the fraction of life bearing planets on

0:59:02.360 --> 0:59:05.400
<v Speaker 1>which intelligent life emerges. Maybe a lot of planets out

0:59:05.440 --> 0:59:08.400
<v Speaker 1>there just to have bacteria on them. And then f

0:59:08.800 --> 0:59:13.520
<v Speaker 1>C the fraction of civilizations that develop a technology that

0:59:13.560 --> 0:59:16.960
<v Speaker 1>releases detectable signs of their existence into space, So there

0:59:17.040 --> 0:59:19.320
<v Speaker 1>might be intelligent life out there, but they're not making

0:59:19.400 --> 0:59:24.640
<v Speaker 1>radio waves. And then finally, multiplied by L the length

0:59:24.760 --> 0:59:30.240
<v Speaker 1>of time such civilizations released detectable signals into space. So

0:59:30.720 --> 0:59:34.440
<v Speaker 1>many of the variables in this in this calculation are

0:59:34.480 --> 0:59:37.840
<v Speaker 1>pure unknowns. Answers are all over the place for this reason.

0:59:38.840 --> 0:59:40.960
<v Speaker 1>But a lot of things in here are not as

0:59:41.080 --> 0:59:43.800
<v Speaker 1>unknown as they once were. For example, we're starting to

0:59:43.840 --> 0:59:45.960
<v Speaker 1>get a very good sense of the fraction of stars

0:59:45.960 --> 0:59:50.200
<v Speaker 1>with planetary systems and the average number of planets suitable

0:59:50.360 --> 0:59:53.040
<v Speaker 1>for life in the Milky Way galaxy. We're starting to say, okay,

0:59:53.040 --> 0:59:55.560
<v Speaker 1>this is about how many planets are out there. Here's

0:59:55.560 --> 0:59:58.320
<v Speaker 1>the proportion of them that are, you know, not too

0:59:58.320 --> 1:00:01.240
<v Speaker 1>hot or too cold to sustain life. Those are coming

1:00:01.480 --> 1:00:05.680
<v Speaker 1>to within reckoning distance. Other variables about like the prevalence

1:00:05.720 --> 1:00:08.720
<v Speaker 1>of emergence of life and intelligence. Those are still just

1:00:08.800 --> 1:00:11.479
<v Speaker 1>big question marks, but you can still play the same

1:00:11.520 --> 1:00:14.680
<v Speaker 1>game with them. You could try to set up boundary conditions, Right,

1:00:15.040 --> 1:00:18.000
<v Speaker 1>what's the lowest boundary. While the lowest boundary would be

1:00:18.040 --> 1:00:20.280
<v Speaker 1>I don't know, some fraction of one. I mean, obviously

1:00:20.320 --> 1:00:23.520
<v Speaker 1>wouldn't be zero because we're here, so we know that

1:00:23.600 --> 1:00:28.240
<v Speaker 1>it's a non zero chance that these things happen. What's

1:00:28.240 --> 1:00:32.400
<v Speaker 1>the highest possible thing, Well, obviously we're not seeing these uh,

1:00:32.720 --> 1:00:36.000
<v Speaker 1>these planets with life on them in our solar system

1:00:36.200 --> 1:00:38.919
<v Speaker 1>other than other than Earth. Well, actually we don't even

1:00:38.920 --> 1:00:41.360
<v Speaker 1>know that for sure yet. But anyway, there are a

1:00:41.400 --> 1:00:43.480
<v Speaker 1>lot of ways you can try to put numbers in

1:00:44.000 --> 1:00:47.360
<v Speaker 1>where these variables exist. And so I've seen estimates using

1:00:47.400 --> 1:00:50.480
<v Speaker 1>the Drake equation turn up answers less than one, meaning

1:00:50.560 --> 1:00:53.800
<v Speaker 1>we're almost definitely alone in the galaxy, and even our

1:00:53.840 --> 1:00:57.000
<v Speaker 1>existence is a real stroke of luck. Uh. And then

1:00:57.040 --> 1:00:59.640
<v Speaker 1>I've seen ones that are in the hundreds of millions.

1:00:59.640 --> 1:01:04.200
<v Speaker 1>But in that case, what's the deal. Why aren't we

1:01:04.400 --> 1:01:07.760
<v Speaker 1>detecting anything? Are we in some kind of protected zoo

1:01:07.880 --> 1:01:11.160
<v Speaker 1>where we're you know, the aliens hiding from us? The

1:01:11.760 --> 1:01:15.520
<v Speaker 1>nature reserve theory. Right. Yeah, But one interesting thing is

1:01:15.520 --> 1:01:18.240
<v Speaker 1>what we mentioned earlier. Whenever you're doing these types of

1:01:18.240 --> 1:01:21.960
<v Speaker 1>of estimations, uh, it's good to check them against reality.

1:01:22.040 --> 1:01:24.520
<v Speaker 1>So you might think of our actual radio astronomy as

1:01:24.560 --> 1:01:27.720
<v Speaker 1>a reality check on the numbers generated or the gu

1:01:27.800 --> 1:01:30.880
<v Speaker 1>estimates of the Drake equation. So this is this is

1:01:30.920 --> 1:01:33.280
<v Speaker 1>fascinating again because you've taken something that is like a

1:01:33.440 --> 1:01:38.120
<v Speaker 1>giant gaping mystery and unknown and you boil it down

1:01:38.120 --> 1:01:43.840
<v Speaker 1>into a series of essentially smaller unknowns uh nowns and

1:01:43.600 --> 1:01:48.200
<v Speaker 1>and guessable factors. Yeah, exactly, You're you're making the problem

1:01:48.320 --> 1:01:51.560
<v Speaker 1>workable and and so this is a way in which

1:01:52.160 --> 1:01:55.880
<v Speaker 1>fermi estimation has multiple uses. I guess one of them

1:01:56.040 --> 1:01:58.920
<v Speaker 1>is practical. It's just practical, and you know, when you

1:01:58.960 --> 1:02:01.080
<v Speaker 1>don't know any of the actors, you can use it

1:02:01.120 --> 1:02:03.560
<v Speaker 1>to come up with a reasonable guests for an answer.

1:02:04.000 --> 1:02:05.959
<v Speaker 1>But the other thing is what we've been talking about.

1:02:06.080 --> 1:02:09.720
<v Speaker 1>It's making a problem more understandable, even if you don't

1:02:09.760 --> 1:02:13.000
<v Speaker 1>actually come up with a reasonable answer. It starts to

1:02:13.080 --> 1:02:15.400
<v Speaker 1>help you get your mind around what you would need

1:02:15.480 --> 1:02:18.160
<v Speaker 1>to know in order to solve it. All Right, we're

1:02:18.160 --> 1:02:20.200
<v Speaker 1>gonna take a quick breaking. We come back, we're gonna

1:02:20.280 --> 1:02:24.200
<v Speaker 1>discuss some of the softer social science of guessing and

1:02:24.520 --> 1:02:31.760
<v Speaker 1>try to conduct an experiment of our own. Alright, So

1:02:31.760 --> 1:02:34.440
<v Speaker 1>we've discussed how guesswork is art as well as science,

1:02:34.440 --> 1:02:36.880
<v Speaker 1>and indeed there's certainly a social art to it in

1:02:36.920 --> 1:02:41.680
<v Speaker 1>some cases, so the art of overestimation or underestimation in

1:02:41.760 --> 1:02:45.840
<v Speaker 1>social situations. I think we've all encountered situations in which

1:02:45.920 --> 1:02:49.400
<v Speaker 1>guessing isn't merely about making a correct guess. It's also

1:02:49.400 --> 1:02:52.360
<v Speaker 1>about making a guess that lands with an appropriate level

1:02:52.400 --> 1:02:55.720
<v Speaker 1>of social grace. It's like guess what my s A

1:02:55.800 --> 1:02:58.760
<v Speaker 1>T score was? Yeah, like a weird questions like that

1:02:59.480 --> 1:03:02.080
<v Speaker 1>like another A notable example would be guess how old

1:03:02.080 --> 1:03:05.040
<v Speaker 1>I am, which is generally a question you only ask

1:03:05.120 --> 1:03:08.880
<v Speaker 1>a child or you ask if you are a child. Um,

1:03:09.160 --> 1:03:12.040
<v Speaker 1>because it's floated right, and I've en to your point.

1:03:12.120 --> 1:03:14.400
<v Speaker 1>You also see guess how how much I make as

1:03:14.440 --> 1:03:18.400
<v Speaker 1>being another question that is sometimes asked. Uh. The need

1:03:18.480 --> 1:03:21.320
<v Speaker 1>for for such a guest might not come up directly,

1:03:21.520 --> 1:03:23.640
<v Speaker 1>but of course we can all imagine situations where it

1:03:23.800 --> 1:03:25.880
<v Speaker 1>ends up. When they end up coming up, you know,

1:03:25.960 --> 1:03:28.080
<v Speaker 1>like you're trying to figure out if a friend of

1:03:28.120 --> 1:03:30.280
<v Speaker 1>yours is into the same movie that you are, and

1:03:30.320 --> 1:03:32.200
<v Speaker 1>you're like, oh, well, how old are you? You're such

1:03:32.200 --> 1:03:35.280
<v Speaker 1>and such. You know, so you might indirectly, indirectly find

1:03:35.280 --> 1:03:38.520
<v Speaker 1>yourself having to make such a guess. So this is

1:03:38.560 --> 1:03:41.000
<v Speaker 1>a very conundrum. Is actually explored in the Art and

1:03:41.080 --> 1:03:44.680
<v Speaker 1>Science of Guessing by Shin, c. Zong and Duh And

1:03:44.680 --> 1:03:47.400
<v Speaker 1>this is published in the journal Emotion in twenty eleven.

1:03:48.160 --> 1:03:50.760
<v Speaker 1>So they ask, you know, are we are we gonna

1:03:50.800 --> 1:03:53.840
<v Speaker 1>be happier with over guessing or happier with under guessing

1:03:54.000 --> 1:03:57.240
<v Speaker 1>just in general, like people guessing too high or guessing

1:03:57.240 --> 1:03:59.960
<v Speaker 1>too low? Yeah, how does that make you feel when

1:04:00.080 --> 1:04:04.640
<v Speaker 1>someone get over or under estimate something about you? Now?

1:04:04.720 --> 1:04:07.680
<v Speaker 1>Is this limited to certain types of factors? Are they

1:04:07.760 --> 1:04:10.880
<v Speaker 1>trying to get a general effect for any sorts of numbers?

1:04:11.520 --> 1:04:15.360
<v Speaker 1>Um general? But like they're they're focusing around very specific

1:04:15.440 --> 1:04:19.439
<v Speaker 1>questions as as we'll discuss. So they predicted that over

1:04:19.520 --> 1:04:23.400
<v Speaker 1>guessing would reign supreme. Uh, though obviously not with guessing

1:04:23.520 --> 1:04:25.680
<v Speaker 1>another person's age, because that one kind of stands out

1:04:25.680 --> 1:04:27.760
<v Speaker 1>generally you want people to get through you're younger than

1:04:27.800 --> 1:04:31.320
<v Speaker 1>you are, Okay, So naturally the research has conducted a

1:04:31.320 --> 1:04:33.360
<v Speaker 1>few tests to try this out, and it's important to

1:04:33.400 --> 1:04:36.600
<v Speaker 1>note culturally, as we'll get into that. Some experiments were

1:04:36.600 --> 1:04:39.800
<v Speaker 1>conducted into China and others in the US, and that's

1:04:39.880 --> 1:04:43.600
<v Speaker 1>especially important with experiment one, which concerns asking friends how

1:04:43.680 --> 1:04:46.400
<v Speaker 1>much money they make, which I don't know about about you,

1:04:46.520 --> 1:04:49.120
<v Speaker 1>but generally that that's not something that is done at

1:04:49.120 --> 1:04:52.160
<v Speaker 1>dinner parties. Did I go to where people say, hey,

1:04:52.160 --> 1:04:53.680
<v Speaker 1>how much money do you make in a year? Not

1:04:53.800 --> 1:04:57.560
<v Speaker 1>my friends. I asked my enemies how much? Yeah, you know,

1:04:57.600 --> 1:05:00.560
<v Speaker 1>I guess with family members, maybe it's more practical. Originally,

1:05:00.640 --> 1:05:03.120
<v Speaker 1>friends and contemporaries are not asking that question. It's kind

1:05:03.120 --> 1:05:06.880
<v Speaker 1>of taboo, but according to the research in China, it

1:05:07.120 --> 1:05:10.720
<v Speaker 1>is was more common. So they used forty employees from

1:05:10.760 --> 1:05:13.520
<v Speaker 1>multiple companies in a large city in China, and I'll

1:05:13.560 --> 1:05:16.880
<v Speaker 1>spare you the monetary details of the study, but the

1:05:16.920 --> 1:05:20.200
<v Speaker 1>finding was quote contrary to what common wisdom and existing

1:05:20.240 --> 1:05:24.160
<v Speaker 1>literature would suggest. The study revealed a happier with under

1:05:24.200 --> 1:05:27.800
<v Speaker 1>guessing effect. So someone thinks, oh, well, you just you

1:05:27.920 --> 1:05:30.000
<v Speaker 1>probably make thirty thousand a year, but you actually make

1:05:30.080 --> 1:05:32.600
<v Speaker 1>thirty five, but you feel happy, So I guess it's

1:05:32.640 --> 1:05:34.760
<v Speaker 1>like like, oh, you get to prove them wrong. You

1:05:34.800 --> 1:05:36.720
<v Speaker 1>get to prove them wrong. Yeah, you're like, oh, you

1:05:36.720 --> 1:05:38.479
<v Speaker 1>think I'm only worth that much, but I'm actually worth

1:05:38.520 --> 1:05:42.160
<v Speaker 1>this much. I'm fantastic. That's kind of the response. No,

1:05:42.320 --> 1:05:46.840
<v Speaker 1>that makes sense to me. So. Experiment to tackled academic

1:05:46.880 --> 1:05:50.040
<v Speaker 1>performance with American test subjects a hundred and seven business

1:05:50.080 --> 1:05:54.320
<v Speaker 1>students guessing each other's GMAT scores as a graduate Management

1:05:54.360 --> 1:05:58.600
<v Speaker 1>admissions test. The results the under guest was most pleasing,

1:05:58.880 --> 1:06:02.120
<v Speaker 1>the over guests was least pleasing, and the accurate guest

1:06:02.400 --> 1:06:05.360
<v Speaker 1>was in between. I think it's interesting here that the

1:06:05.480 --> 1:06:09.080
<v Speaker 1>accurate guess is somewhere in between, Like, nobody really wants

1:06:09.080 --> 1:06:13.200
<v Speaker 1>to be pinned down completely. No, it doesn't feel good, yeah, even,

1:06:13.440 --> 1:06:17.160
<v Speaker 1>but it also feels bad to be overestimated, Like it's

1:06:17.200 --> 1:06:20.680
<v Speaker 1>the the inner Like if you're underestimated, you you get

1:06:20.720 --> 1:06:23.760
<v Speaker 1>that that feeling of oh, I'm actually I'm actually better

1:06:23.760 --> 1:06:26.120
<v Speaker 1>than you think I am. But if they if you're overestimated,

1:06:26.160 --> 1:06:28.840
<v Speaker 1>there might be like this superficial feeling of oh they

1:06:28.880 --> 1:06:31.439
<v Speaker 1>think I'm they think I'm better than I am, but

1:06:31.840 --> 1:06:34.720
<v Speaker 1>but I'm actually not. It might be nice to have

1:06:34.720 --> 1:06:37.800
<v Speaker 1>people guess, like what your favorite movies are or something.

1:06:38.320 --> 1:06:40.120
<v Speaker 1>But it does not seem like it's nice to have

1:06:40.160 --> 1:06:44.280
<v Speaker 1>people correctly guess what numbers are true about you. Yeah,

1:06:44.320 --> 1:06:48.200
<v Speaker 1>it's it's a quantitative aspect that makes accuracy unpleasant. It's

1:06:48.200 --> 1:06:50.520
<v Speaker 1>like being pinned down to a chart. So then came

1:06:50.560 --> 1:06:52.880
<v Speaker 1>Experiment three two thousand and nine. Business students from a

1:06:52.920 --> 1:06:56.560
<v Speaker 1>large university in the United States engaged in imagined scenario. Okay,

1:06:56.600 --> 1:06:59.200
<v Speaker 1>you work at a large company. Your annual bonus will

1:06:59.200 --> 1:07:02.800
<v Speaker 1>be between three thousand and thirty thousand dollars. Exact amount

1:07:02.840 --> 1:07:05.960
<v Speaker 1>will be confidential. So participants were then told, in this

1:07:06.040 --> 1:07:10.440
<v Speaker 1>imaginary experience experiment here uh scenario that they'd receive fifteen

1:07:10.640 --> 1:07:13.480
<v Speaker 1>thousand dollars, and they were asked to imagine that they

1:07:13.520 --> 1:07:16.920
<v Speaker 1>heard a colleague guessing about their bonus. The guests was

1:07:17.040 --> 1:07:20.280
<v Speaker 1>thirty thousand in the over guest condition and three thousand

1:07:20.280 --> 1:07:22.440
<v Speaker 1>in the under guest condition, And then they were asked

1:07:22.480 --> 1:07:25.000
<v Speaker 1>to indicate whether they felt better or worse about hearing

1:07:25.000 --> 1:07:28.440
<v Speaker 1>the guests The results. Again, the overguess resulted in the

1:07:28.480 --> 1:07:31.760
<v Speaker 1>most happiness, But the researchers drive home that a lot

1:07:31.840 --> 1:07:33.880
<v Speaker 1>of that results boils down to what's more important. To

1:07:33.960 --> 1:07:37.240
<v Speaker 1>the individual individual truth or impression. So really, really, what

1:07:37.360 --> 1:07:40.640
<v Speaker 1>ends up mattering more to a specific individual the actual

1:07:40.680 --> 1:07:43.200
<v Speaker 1>amount of money they take home or the amount of

1:07:43.200 --> 1:07:47.000
<v Speaker 1>money that people think they take home. And this is interesting, right,

1:07:47.040 --> 1:07:49.680
<v Speaker 1>because so much in life is this mixture of substance

1:07:49.680 --> 1:07:52.320
<v Speaker 1>and perception. Do you want to be rich or do

1:07:52.320 --> 1:07:55.280
<v Speaker 1>you want to appear rich? Do you want to be

1:07:55.440 --> 1:07:58.840
<v Speaker 1>smart or appear smart? And and and there's kind of

1:07:58.840 --> 1:08:02.680
<v Speaker 1>this this up is this push and pull of both factors.

1:08:03.200 --> 1:08:05.560
<v Speaker 1>We're back to the charm effect, the James Bond effect,

1:08:05.680 --> 1:08:07.480
<v Speaker 1>And we were talking about at the beginning some people

1:08:07.560 --> 1:08:12.360
<v Speaker 1>might actually not be uh better, more lucky than others,

1:08:12.440 --> 1:08:15.520
<v Speaker 1>but they can sure appear that way just by sort

1:08:15.520 --> 1:08:21.080
<v Speaker 1>of projecting a successful latitude. Yeah. Yeah, So the soft

1:08:21.120 --> 1:08:24.480
<v Speaker 1>science of guessing becomes even softer some more you you

1:08:24.479 --> 1:08:27.679
<v Speaker 1>you tease at it. Okay, one last thing, I want

1:08:27.680 --> 1:08:29.599
<v Speaker 1>to look at a totally different kind of guessing. We've

1:08:29.600 --> 1:08:32.320
<v Speaker 1>talked about tools to make you better at guessing, but

1:08:32.360 --> 1:08:34.160
<v Speaker 1>I want to think about what goes on in the

1:08:34.240 --> 1:08:38.080
<v Speaker 1>human mind when we guess. When we've got absolutely nothing

1:08:38.160 --> 1:08:43.200
<v Speaker 1>to work with, no info, no probabilities, no plausible boundaries,

1:08:43.520 --> 1:08:48.000
<v Speaker 1>just the opaque magic of pure randomness, because this is

1:08:48.160 --> 1:08:49.960
<v Speaker 1>this is sort of the core of guessing. When we

1:08:50.000 --> 1:08:53.760
<v Speaker 1>say guessing, you know, a lot of what guessing conjures

1:08:53.800 --> 1:08:58.879
<v Speaker 1>in the mind is scenarios of total uncertainty randomness. Okay,

1:08:59.080 --> 1:09:01.799
<v Speaker 1>so I want to do an experiment with you, Robert.

1:09:02.280 --> 1:09:05.360
<v Speaker 1>I've got a deck of cards fanned out here. Here's

1:09:05.400 --> 1:09:10.719
<v Speaker 1>the experiment. I'm holding up a card to Robert. Okay,

1:09:11.000 --> 1:09:13.680
<v Speaker 1>what is the suit of this card? Now you are

1:09:13.720 --> 1:09:15.680
<v Speaker 1>not looking at the face of the card. Robert is

1:09:15.720 --> 1:09:18.400
<v Speaker 1>looking at the back of Well, this is awesome because

1:09:18.400 --> 1:09:20.720
<v Speaker 1>I I have a one in four chance, right right,

1:09:20.720 --> 1:09:25.000
<v Speaker 1>I'm gonna say clubs, Nope, jack of spades. Now let

1:09:25.080 --> 1:09:28.479
<v Speaker 1>me try it again. Now, think really hard, this time

1:09:30.360 --> 1:09:33.519
<v Speaker 1>the exact card. No, you are guessing the suit. Okay,

1:09:33.520 --> 1:09:37.639
<v Speaker 1>I'm gonna say clubs, nope, hearts. But here's the question.

1:09:38.680 --> 1:09:42.000
<v Speaker 1>Where did your answers come from? Your accuracy was actually

1:09:42.080 --> 1:09:45.760
<v Speaker 1>not important to me. There, I'm thinking about the subjective experience.

1:09:45.800 --> 1:09:52.599
<v Speaker 1>Try it one more time, Nope, spades. Why though, why

1:09:52.680 --> 1:09:55.559
<v Speaker 1>did you say clubs when you have no reason to

1:09:55.600 --> 1:09:59.040
<v Speaker 1>prefer clubs over any other I don't know, it just

1:09:59.080 --> 1:10:01.599
<v Speaker 1>came to my mind. For I was for it's it's

1:10:01.600 --> 1:10:03.559
<v Speaker 1>almost like not that I was at a loss for

1:10:03.640 --> 1:10:06.080
<v Speaker 1>the words, but like that was the one that came

1:10:06.160 --> 1:10:08.920
<v Speaker 1>up first. Yeah, I mean, it's it's a weird thing.

1:10:09.040 --> 1:10:12.280
<v Speaker 1>It's like, next time you make a guess without a

1:10:12.320 --> 1:10:16.600
<v Speaker 1>conscious methodology, you out there listening, look inside yourself and

1:10:16.640 --> 1:10:20.040
<v Speaker 1>ask this question, where did that guests come from? Why

1:10:20.080 --> 1:10:23.240
<v Speaker 1>did I say clubs and not something else when I

1:10:23.280 --> 1:10:26.639
<v Speaker 1>had no logical reason to prefer clubs over anything else.

1:10:26.720 --> 1:10:29.000
<v Speaker 1>I will say I stuck to clubs because I thought

1:10:29.200 --> 1:10:31.599
<v Speaker 1>clubs has got to come up, like I might as well,

1:10:31.640 --> 1:10:35.559
<v Speaker 1>even though I guess it's it's yeah, yeah, it seemed

1:10:35.600 --> 1:10:37.120
<v Speaker 1>like the thing to do, like I just should should

1:10:37.200 --> 1:10:40.280
<v Speaker 1>just stick to clubs and clubs will do me ride eventually. Well,

1:10:40.439 --> 1:10:42.760
<v Speaker 1>that actually would be a smart strategy. If I was

1:10:42.840 --> 1:10:47.240
<v Speaker 1>like removing cards from the deck and you were yeah, okay, okay, Well,

1:10:47.320 --> 1:10:49.040
<v Speaker 1>then I guess the question would be, what what did

1:10:49.040 --> 1:10:50.840
<v Speaker 1>you guess the first time? Or what would you have

1:10:50.880 --> 1:10:53.519
<v Speaker 1>guessed if I was not removing cards from the deck,

1:10:54.439 --> 1:10:57.840
<v Speaker 1>Because that yeah, there there's no there's just nothing you

1:10:57.880 --> 1:11:00.439
<v Speaker 1>can do, and yet our brains still are able to

1:11:00.479 --> 1:11:02.120
<v Speaker 1>come up with an answer. And I think this is

1:11:02.160 --> 1:11:05.160
<v Speaker 1>one of those everyday moments that sort of passes by

1:11:05.240 --> 1:11:08.960
<v Speaker 1>us without much fanfare. Just it's very humdrum, But if

1:11:09.000 --> 1:11:11.719
<v Speaker 1>you force yourself to stop and examine it, it becomes

1:11:11.760 --> 1:11:17.000
<v Speaker 1>so deeply weird and mysterious. We've we've got these voids

1:11:17.040 --> 1:11:22.080
<v Speaker 1>inside our minds that produce information on no input. It's

1:11:22.120 --> 1:11:23.920
<v Speaker 1>kind of like you you go somewhere in the back

1:11:23.960 --> 1:11:25.679
<v Speaker 1>of your mind and there's one of those drive through

1:11:25.720 --> 1:11:28.880
<v Speaker 1>bank teller boxes, you know, where it slides out and

1:11:28.920 --> 1:11:31.200
<v Speaker 1>you open the shutter, and what you put in is

1:11:31.280 --> 1:11:34.479
<v Speaker 1>just a request for a random response, and you push

1:11:34.520 --> 1:11:37.240
<v Speaker 1>it in, and a split second later, the box slams

1:11:37.280 --> 1:11:40.080
<v Speaker 1>back out, pops open with an answer for you. What

1:11:40.280 --> 1:11:44.679
<v Speaker 1>happened inside? Where did that random answer come from? Uh?

1:11:45.160 --> 1:11:46.960
<v Speaker 1>That might not even occur to you as something to

1:11:46.960 --> 1:11:49.400
<v Speaker 1>think about being odd, But I don't know. It strikes

1:11:49.400 --> 1:11:51.840
<v Speaker 1>me as very odd. Why do our brains come up

1:11:51.880 --> 1:11:57.160
<v Speaker 1>with random answers on command, with no logical reasoning behind them.

1:11:57.880 --> 1:12:00.080
<v Speaker 1>One example that I do encounter with this sometimes is

1:12:00.120 --> 1:12:02.320
<v Speaker 1>in yoga class will be and we'll be doing a plank,

1:12:02.680 --> 1:12:04.479
<v Speaker 1>and in order to pass the time, we'll go through

1:12:04.520 --> 1:12:07.120
<v Speaker 1>the alphabet and like name trees that begin with each letter,

1:12:07.520 --> 1:12:09.719
<v Speaker 1>and it's curious to self reflect and be like why

1:12:09.720 --> 1:12:12.600
<v Speaker 1>did that tree come up? Why did that animal come up? Yeah,

1:12:12.640 --> 1:12:14.640
<v Speaker 1>and sometimes it feels like the brain just spits it

1:12:14.680 --> 1:12:17.599
<v Speaker 1>out randomly, like a like a hand with a deck

1:12:17.640 --> 1:12:20.559
<v Speaker 1>of cards just shooting one to the surface. Yeah, so

1:12:20.640 --> 1:12:25.200
<v Speaker 1>what's causing one card to come up instead of another? Um? So,

1:12:25.600 --> 1:12:28.479
<v Speaker 1>in terms of coming up with true randomness, I've actually

1:12:28.479 --> 1:12:33.520
<v Speaker 1>read a little bit about research into people studying humans

1:12:33.640 --> 1:12:37.800
<v Speaker 1>ability to generate random numbers on command, Like this is

1:12:37.840 --> 1:12:40.200
<v Speaker 1>actually a field of study. It's like, can you please

1:12:40.280 --> 1:12:43.919
<v Speaker 1>list a series of random one digit numbers? One problem

1:12:43.960 --> 1:12:47.160
<v Speaker 1>is that people are actually very cruddy random number generators,

1:12:47.240 --> 1:12:49.720
<v Speaker 1>Like they they either have too much symmetry in their

1:12:49.760 --> 1:12:53.800
<v Speaker 1>answers or too little symmetry. Um Like that they get

1:12:53.840 --> 1:12:56.240
<v Speaker 1>caught up in trying to make it random, and thus

1:12:56.320 --> 1:12:59.400
<v Speaker 1>they make it non random. But yeah, I just think

1:12:59.400 --> 1:13:02.800
<v Speaker 1>it's interesting, Like what's what's the biological purpose of that? Like,

1:13:02.840 --> 1:13:05.479
<v Speaker 1>why is that something brains can do? It's something you

1:13:05.520 --> 1:13:09.679
<v Speaker 1>specifically have to have to command computers to figure out

1:13:09.680 --> 1:13:13.280
<v Speaker 1>how to do. Computers by nature don't generate random numbers.

1:13:13.280 --> 1:13:15.000
<v Speaker 1>You need to come up with a way of them

1:13:15.000 --> 1:13:18.080
<v Speaker 1>to you know, draw on some kind of vada variable

1:13:18.160 --> 1:13:21.960
<v Speaker 1>or data to generate random numbers. UM, So like why

1:13:22.000 --> 1:13:25.280
<v Speaker 1>do brains do that? And where do the numbers come from? Uh?

1:13:25.320 --> 1:13:27.439
<v Speaker 1>There there was one study that I looked at that

1:13:27.439 --> 1:13:30.719
<v Speaker 1>I thought was kind of interesting, and it's a study

1:13:30.720 --> 1:13:35.160
<v Speaker 1>by Elliott Rees and Dolan in the journal Neuropsychologia and uh.

1:13:35.160 --> 1:13:37.000
<v Speaker 1>And what they did is they used f m R

1:13:37.080 --> 1:13:39.920
<v Speaker 1>I to see if there were any differences in activation

1:13:40.040 --> 1:13:44.960
<v Speaker 1>patterns in the brain between reporting on knowledge and random guessing.

1:13:45.560 --> 1:13:49.400
<v Speaker 1>So in one group, researchers would show subjects a playing

1:13:49.400 --> 1:13:52.000
<v Speaker 1>card on the face side. Here you go, Robert, what

1:13:52.120 --> 1:13:54.640
<v Speaker 1>card is this? That would be a five clubs? Right.

1:13:54.640 --> 1:13:57.120
<v Speaker 1>Because I'm showing you the card, you're just reporting. This

1:13:57.200 --> 1:13:59.920
<v Speaker 1>is working memory in the brain. You're taking in information,

1:14:00.000 --> 1:14:03.160
<v Speaker 1>you're spitting it back out. Not all that weird. It's

1:14:03.200 --> 1:14:05.080
<v Speaker 1>a very different thing to hold up the back of

1:14:05.080 --> 1:14:07.240
<v Speaker 1>a card and say what's the card here? You have

1:14:07.320 --> 1:14:11.000
<v Speaker 1>no information at all, So you randomly guess six of diamonds,

1:14:11.320 --> 1:14:14.040
<v Speaker 1>four of diamonds. Kind of close, kind of close. That's

1:14:14.040 --> 1:14:17.760
<v Speaker 1>like a ballpark. Uh, you're within an order of magnitude.

1:14:17.960 --> 1:14:20.280
<v Speaker 1>But I think I randomly said six only because I

1:14:20.280 --> 1:14:23.080
<v Speaker 1>had just said five. Right. But when you're when you're

1:14:23.080 --> 1:14:25.200
<v Speaker 1>guessing the front of a card, just looking at the back,

1:14:25.240 --> 1:14:28.320
<v Speaker 1>there's no gunball logic, there's no firmi estimation to help you.

1:14:28.360 --> 1:14:32.080
<v Speaker 1>It's just random. And yet the authors found that something's

1:14:32.120 --> 1:14:35.599
<v Speaker 1>going on in the brain when we're generating random guesses.

1:14:35.720 --> 1:14:39.439
<v Speaker 1>There is activity. Uh, they write, if their analysis is correct,

1:14:39.439 --> 1:14:43.000
<v Speaker 1>they write, quote, these data suggests that while simple two

1:14:43.120 --> 1:14:46.960
<v Speaker 1>choice guessing depends on an extensive neural system, including regions

1:14:47.000 --> 1:14:50.600
<v Speaker 1>of the right lateral prefrontal cortex, activation of orbit of

1:14:50.680 --> 1:14:55.920
<v Speaker 1>frontal cortex increases as the probabilistic contingencies become more complex,

1:14:56.120 --> 1:14:58.960
<v Speaker 1>as it becomes harder to understand, you know, what's going on,

1:14:59.520 --> 1:15:02.879
<v Speaker 1>so they say quote. Guessing thus involves not only systems

1:15:02.920 --> 1:15:08.240
<v Speaker 1>implicated in working memory processes, but also depends upon orbitofrontal cortex.

1:15:08.640 --> 1:15:12.120
<v Speaker 1>This region is not typically activated in working memory tasks,

1:15:12.200 --> 1:15:17.160
<v Speaker 1>and its activation may reflect additional requirements of dealing with uncertainty.

1:15:17.520 --> 1:15:21.040
<v Speaker 1>Their specific patterns going on in the brain when you're

1:15:21.080 --> 1:15:24.920
<v Speaker 1>trying to generate random answers, and I just think, like,

1:15:25.000 --> 1:15:28.599
<v Speaker 1>what's the biological function of that. Where does that come from? Why? Why?

1:15:28.720 --> 1:15:31.360
<v Speaker 1>Why do animals have this ability with the brain to

1:15:31.520 --> 1:15:35.880
<v Speaker 1>generate randomness? I don't know that's that. It's a wonderful question. Though.

1:15:36.360 --> 1:15:39.920
<v Speaker 1>We've been talking a lot about cognitive tools rules of thumb,

1:15:40.080 --> 1:15:42.160
<v Speaker 1>But there is another way of thinking about people who

1:15:42.200 --> 1:15:45.280
<v Speaker 1>are good at guessing. As we said, you know, obviously

1:15:45.320 --> 1:15:48.160
<v Speaker 1>some people are better at guessing and guestimating than others,

1:15:48.520 --> 1:15:51.519
<v Speaker 1>but obviously not all of them are using these tools.

1:15:51.640 --> 1:15:53.479
<v Speaker 1>Right when you think about people you know who are

1:15:53.560 --> 1:15:58.200
<v Speaker 1>very good guessers, they're not necessarily doing firm me calculations,

1:15:58.200 --> 1:16:02.080
<v Speaker 1>coming up with numbers in their head, uh, exploring boundaries,

1:16:02.160 --> 1:16:05.760
<v Speaker 1>taking geometric means, and multiplying things together. A lot of

1:16:05.800 --> 1:16:08.639
<v Speaker 1>times it seems to be just intuitive. So I wonder

1:16:08.680 --> 1:16:12.040
<v Speaker 1>if there's another way to think about differential skill levels

1:16:12.080 --> 1:16:15.879
<v Speaker 1>and guessing, and if it's more like finesse at certain

1:16:15.960 --> 1:16:20.320
<v Speaker 1>sports and athletic activities, meaning that when you think about

1:16:20.320 --> 1:16:24.000
<v Speaker 1>somebody who's good at hitting shots in basketball, what is

1:16:24.080 --> 1:16:27.759
<v Speaker 1>that skill? It's obviously not an issue of raw strength.

1:16:27.880 --> 1:16:30.840
<v Speaker 1>It's not speed, it's not endurance. If somebody can't hit

1:16:31.040 --> 1:16:34.280
<v Speaker 1>three pointers, it's usually not because they're not strong enough

1:16:34.320 --> 1:16:36.960
<v Speaker 1>to get the ball to the hoop. When you shoot

1:16:36.960 --> 1:16:39.719
<v Speaker 1>in basketball, at some level, what you're doing is math.

1:16:39.960 --> 1:16:44.200
<v Speaker 1>Obviously you're not consciously making calculations, but you're you're trying

1:16:44.240 --> 1:16:49.000
<v Speaker 1>to calculate and execute a precise arc trajectory, factoring the

1:16:49.080 --> 1:16:53.000
<v Speaker 1>distance and the distance to the hoop, presence the backboard,

1:16:53.000 --> 1:16:55.240
<v Speaker 1>the bounciness of the ball. It's kind of like you're

1:16:55.240 --> 1:16:56.920
<v Speaker 1>playing you do you ever play that old game the

1:16:56.960 --> 1:17:00.559
<v Speaker 1>gorilla throwing the banana at each other? No, but it's

1:17:00.560 --> 1:17:04.960
<v Speaker 1>it sounds fun. Yeah, but yes, well it's an old game,

1:17:05.280 --> 1:17:07.759
<v Speaker 1>like an old basic game. You'd have two guerillas standing

1:17:07.800 --> 1:17:10.800
<v Speaker 1>on rooftops and you'd enter the angle and the velocity

1:17:10.880 --> 1:17:14.400
<v Speaker 1>of this bomb banana throw. Yeah. I like though that

1:17:14.439 --> 1:17:16.240
<v Speaker 1>this is like it's like you're just throw bananas at

1:17:16.280 --> 1:17:19.639
<v Speaker 1>each other in Virginia Guerrillas. But well, that would involve

1:17:19.720 --> 1:17:22.960
<v Speaker 1>calculating precise arc trajectories too, I mean, trying to hit

1:17:23.040 --> 1:17:26.559
<v Speaker 1>something by throwing it. In a sense, you are doing math,

1:17:26.640 --> 1:17:31.120
<v Speaker 1>even if you're not consciously doing math. Um. So perhaps

1:17:31.120 --> 1:17:33.920
<v Speaker 1>in some ways I wonder if certain kinds of skill

1:17:34.160 --> 1:17:36.479
<v Speaker 1>in sports should be thought of as having less to

1:17:36.520 --> 1:17:39.559
<v Speaker 1>do with the power of the body and being more

1:17:39.600 --> 1:17:42.639
<v Speaker 1>like an unconscious version of the mind of a highly

1:17:42.720 --> 1:17:46.360
<v Speaker 1>skilled guesser, like an intuitive for me. And in the

1:17:46.400 --> 1:17:49.760
<v Speaker 1>same way, I wonder if there's something unconscious in your

1:17:49.800 --> 1:17:54.080
<v Speaker 1>nervous system that's able to make good guesses about precise

1:17:54.160 --> 1:17:57.920
<v Speaker 1>angles and velocity to sink a three pointer. Uh, there

1:17:58.000 --> 1:18:00.560
<v Speaker 1>might be other ways in which we have un conscious

1:18:00.560 --> 1:18:04.679
<v Speaker 1>intuitions that are nevertheless doing some kind of math. Math

1:18:04.840 --> 1:18:07.960
<v Speaker 1>is is being calculated in the brain, even if we're

1:18:08.000 --> 1:18:11.479
<v Speaker 1>not aware of it, in some cases, giving some people

1:18:11.520 --> 1:18:14.920
<v Speaker 1>better intuitions about guessing than others, even without doing all

1:18:14.960 --> 1:18:18.599
<v Speaker 1>this math. I don't know, just something to think about.

1:18:19.280 --> 1:18:21.160
<v Speaker 1>All right. Well, on that note, we're gonna go ahead

1:18:21.200 --> 1:18:24.360
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