NOTE: This is a repost from my old blog.

So, me and my girlfriend went to see 21 last night and in the movie they make mention of The Game Show Host problem, aka The Monty Hall Problem.

The jist of the problem is this: You are on a game show. The host presents you with 3 doors, 1 of which has a car behind it, the other 2 have goats. The game show host tells you to pick a door. You do so, at which point the game show host opens up a door to show you a goat behind the door and then asks you if you would like to switch your choice to the other closed door. The question is then, should you switch your choice?

The correct answer is yes. More on why after the jump.

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