monty halls door problem please

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I have tried asking chatgpt, i have tried searching animations, I just dont get it!

Edit: I finally get it. If you choose a wrong door, then the other wrong door gets opened and if you switch you win, that can happen twice, so 2/3 of the time.

In: 296

31 Answers

Anonymous 0 Comments

There’s 3 doors: [?], [?], [?]. One of them has a car, the other two have goats.

There’s 3 universes:
Universe 1: [C], [G], [G]
Universe 2: [G], [C], [G]
Universe 3: [G], [G], [C]

You choose door 1: [X], [?], [?]. Monty, the gameshow host, now opens a door that’s not the car.
Universe 1: [X], [G], [G] where Monty opens door 2 or 3.
Universe 2: [X], [C], [G] where Monty opens door 3.
Universe 3: [X], [G], [C] where Monty opens door 2.

In 2 of the 3 universes, universes 2 and 3, the car is behind the door you didn’t choose, which is why you should switch.

Note that in a gameshow like Deal or No Deal where this “that’s not the car” contigency doesn’t exist, it doesn’t matter if you switch at the end or not.

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