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Goats, Cars n' Doors!

Cart #goats_cars_doors-1 | 2023-01-18 | Code ▽ | Embed ▽ | License: CC4-BY-NC-SA

So...

the situation being proposed is: there are 3 doors, behind 2 of them are goats the other has a new car. you (trying to get the car) pick a door, the host stops you and opens a different door. behind that door is a goat. they then ask you "do you switch your answer".

the question: what are the odds of getting that car if you switch vs. not switching.

the problem: everyone i've asked has said its a 50% chance either way, but the answer is actually 2/3 if you switch. why? I have no idea but I built a simulation so you can answer that yourself!

P#124504 2023-01-18 13:41

1

There's additional lively discussion of this stats puzzler here: https://www.lexaloffle.com/bbs/?tid=50984

P#124506 2023-01-18 14:07

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