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词汇 Monty Hall problem
分类 英语词汇 英语翻译词典
释义

Monty Hall problem

原声例句
流行文化

The first time the Monty Hall problem was published was in 1975. This guy named Steve Selvin at Berkeley presented the problem in The American Statistician.

Monty Hall 问题首次发表是在 1975 年。伯克利的一个名叫 Steve Selvin 的人在美国统计学家中提出了这个问题。

中文百科

蒙提霍尔问题

蒙提霍尔问题图解

蒙提霍尔问题，亦称为蒙特霍问题或三门问题（英文：Monty Hall problem），是一个源自博弈论的数学游戏问题，大致出自美国的电视游戏节目Let's Make a Deal。问题的名字来自该节目的主持人蒙提·霍尔（Monty Hall）。

这个游戏的玩法是：参赛者会看见三扇关闭了的门，其中一扇的后面有一辆汽车或者是奖品，选中后面有车的那扇门就可以赢得该汽车或奖品，而另外两扇门后面则各藏有一只山羊或者是后面没有任何东西。当参赛者选定了一扇门，但未去开启它的时候，知道门后情形的节目主持人会开启剩下两扇门的其中一扇，露出其中一只山羊。主持人其后会问参赛者要不要换另一扇仍然关上的门。问题是：换另一扇门会否增加参赛者赢得汽车的机会率？如果严格按照上述的条件的话，答案是会。—换门的话，赢得汽车的机率是2/3。

英语百科

Monty Hall problem 蒙提霍尔问题

In search of a new car, the player picks a door, say 1. The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player pick door 2 instead of door 1.
Car has a 1/3 chance of being behind the player's pick and a 2/3 chance of being behind one of the other two doors.The host opens a door, the odds for the two sets don't change but the odds move to 0 for the open door and 2/3 closed door.
Tree showing the probability of every possible outcome if the player initially picks Door 1

The Monty Hall problem is a brain teaser, in the form of a probability puzzle (Gruber, Krauss and others), loosely based on the American television game show Let's Make a Deal and named after its original host, Monty Hall. The problem was originally posed in a letter by Steve Selvin to the American Statistician in 1975 (Selvin 1975a), (Selvin 1975b). It became famous as a question from a reader's letter quoted in Marilyn vos Savant's "Ask Marilyn" column in Parade magazine in 1990 (vos Savant 1990a):
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