![]() ![]() This probability does not change after the host reveals a goat behind one of the unchosen doors. When the player first makes their choice, there is a 2 / 3 chance that the car is behind one of the doors not chosen. ![]() Under the standard assumptions, the switching strategy has a 2 / 3 probability of winning the car, while the strategy of sticking with the initial choice has only a 1 / 3 probability. Savant's response was that the contestant should switch to the other door. 2?" Is it to your advantage to switch your choice? He then says to you, "Do you want to pick door No. 1, and the host, who knows what's behind the doors, opens another door, say No. Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car behind the others, goats. Whitaker's letter quoted in Marilyn vos Savant's "Ask Marilyn" column in Parade magazine in 1990: It became famous as a question from reader Craig F. The problem was originally posed (and solved) in a letter by Steve Selvin to the American Statistician in 1975. The Monty Hall problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show Let's Make a Deal and named after its original host, Monty Hall. The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. In search of a new car, the player picks a door, say 1. ![]()
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