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There are 3 doors, behind whic

[单选题]

There are 3 doors, behind which are two goats and a car.

You pick a door (call it door A). You’re hoping for the car of course.

The game show host examines the other doors (B & C) and always opens one of them with a goat (Both doors might have goats; he’ll randomly pick one to open)

So what is the chance of winning the game if you switch doors?

  • 1/2
  • 1/3
  • 2/3
  • 1
A有三种情况,这三种情况的概率都是1/3:
1,A是车,那么B,C都是山羊,交换肯定失败。
2,A是山羊1,那么B,C一个是山羊2,一个是车。主持人打开山羊2的门,剩下那个就是车,交换肯定就能换到车。
3,A是山羊2,同理可得,交换也能换到车。
所以是换到车的概率是2/3
发表于 2018-07-24 17:09:15 回复(0)