The most concise explanation of the beginning of PS and the goat car

Merritt 2022-03-17 09:01:03

MIT graduate with a perfect GPA, Harvard Medical School prep, President of the American Mathematical Association, a well-known professor's assistant, and a good relationship with the professor. Recommendation letters from two recommended teachers-


Some kids grew up wanted to play for Red Socks, and some wanted to be fireman, I grew up, well really, I just want to come here to Harvard medicine. And now I've gone accepted, it seems to only count on money, which I don't really have. So what I'm trying to say is that I really really need this scholarship.
-You rehearse them?
-Yeah, 14 times before the mirror.
-Unfortunately, desire doesn't figure on what you want. Robinson scholarship is going to give someone who dazzles. Some body just jump off the page.

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The game discussed by the teacher and ben in class :
Competitors will see three closed doors, one with a car behind it, winning the car by selecting the door with the car behind it, and a goat hidden behind each of the other two doors. When a contestant selects a door, but fails to open it, the show host will open one of the remaining two doors, revealing one of the goats. The host will then ask the contestants if they want to switch to another door that is still closed.

The answer to this question is as follows: The
contestant picks goat number one, and the host picks goat number two. Converting will win the car.
The contestant picks goat number two, and the host picks goat number one. Converting will win the car.
The contestants pick the car, and the host picks either of the two goats. Conversion will fail.
In the first two cases, the entrant can win the car by switching selections. The third case is the only one in which the contestant wins by keeping the original selection. Since two of the three situations are won by switching selections, the probability of winning by switching selections is 2/3.

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Extended Reading

21 quotes

  • [Micky gives Jill her fake ID for the Vegas casinos]

    Jill Taylor: Uh, I don't like my name.

    Micky Rosa: Why not?

    Jill Taylor: 'Sierra Sommers.' Do I look like a Sierra?

    Micky Rosa: Well, you have a lot of clever outfits. You'll figure it out.

    Kianna: Just pretend you don't speak English. Then you don't have to change your hair.

  • [Micky talks to the team one last time before they play the Vegas casinos]

    Micky Rosa: At all times, you don't know each other. Let me say that again, you do not... know each other... ever. Oh, and what's our motto?

    Jill Taylor: Don't get caught counting.

    Fisher: Don't get caught counting.

    Kianna: Don't get caught counting.

    Micky Rosa: Thank you very much.