“Monty Hall problem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Monty Hall problem

释义

Monty Hall problem

(three door problem) A counterintuitive problem in probability; the problem is loosely based on a game show once hosted by Monty Hall. A contestant is presented with three doors, behind one of which is a prize. The contestant chooses a door, and then the host opens a different door to reveal no prize. The contestant now has the chance to change their initial choice for the one remaining door: should they change?

Intuitively it may seem that there is no benefit in changing, as the choice is now just one of two doors. However the chance of the initial choice being right is still the same as it was initially, namely 1 in 3. So there is a 2 in 3 chance that the prize is behind the other door, and so the contestant improves their chance of winning by changing.

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