The Monty Hall Problem

Named after the host of the game show Let’s Make a Deal, the Monty Hall problem is a probability puzzle that has a history of stumping even respected mathematicians. In this problem, a game show contestant is asked to choose one of three doors. There is a car behind one and goats behind the other two. He picks door 1, but the host, who knows what is behind each door, opens door 3 to reveal a goat. The host then asks the player if he wants to switch to door 2. Should the player switch? Discuss

Source: The Free Dictionary

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