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

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Advance Math

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

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