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In: Advanced Math

Suppose you are on a game show and are shown three doors. Behind two are goats,...

Suppose you are on a game show and are shown three doors. Behind two are goats, and behind the third is a shiny new car. You are asked to pick a door, and will win whatever is behind it. Let's say you pick door 1. Before the door is opened, however, the host, who knows what's behind the doors, opens one of the other two doors, revealing a goat, and asks you if you wish to change your selection to the third door (i.e., the door that neither you nor he opened). What should you do?

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