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Mathematics 34 Online
OpenStudy (anonymous):

Here's a classic puzzle. You're a contestant on a game show. The host directs your attention to 3 big red doors, which are completely indistinguishable. Behind one of the doors is a brand new sports car, and behind the other two are goats. When you select a door, the host then opens one of the other doors, revealing a goat. He then asks you if you want to stick with the door you chose originally, or switch to the remaining closed door. What should you do, and why?

OpenStudy (anonymous):

For example, you pick door A. The host opens up door C, revealing a goat, and gives you the option of staying with door A, or switching to door B.

OpenStudy (dumbcow):

You should switch to the other door. Reasoning is you have a 1/3 chance of picking the car initially and 2/3 chance of picking a goat initially. If you pick the goat initially and the other goat is revealed, then the other door must be the car. So 2 out 3 times by switching will win you the car.

OpenStudy (anonymous):

We have a winrar!

OpenStudy (dumbcow):

haha yeah classic puzzle..must admit i've heard it before

OpenStudy (anonymous):

Commonly known as the Monty Hall Problem, or Game Show Host Problem.

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