Suppose you are on a game show. There is a prize behind one of three doors, and ...
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Suppose you are on a game show. There is a prize behind one of three doors, and you are asked to choose a door.
After you choose, suppose the host opens one of the remaining two doors and shows you that there is no prize behind it. You are given the choice to keep your original door or choose the remaining door instead.
Statistically speaking, what should you do?
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