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你知道答案吗?一个几乎所有人都做错的逻辑难题

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2016年03月29日

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  Jack is looking at Anne, but Anne is looking at George. Jack is married, but George is not. Is a married person looking at an unmarried person?

  杰克正看着安,安在看乔治。杰克结婚了,乔治没有结婚。一个已婚的人在看一个未婚的人吗?

  · A: Yes

  · A:是

  · B: No

  · B:否

  · C: Cannot be determined

  · C:不知道

  The correct answer is A.

  正确答案是A。

  Before I get to the explanation, a few words on why I set the question. I wanted to test if it really was the case that more than 80 per cent of people choose C. Well, the results are in, and with more than 200,000 submissions, this is how you voted:

  在我告诉你们答案之前, 我想说说我为什么要问这个问题。我想知道是不是有超过80%的人会选择C。嗯,仙子啊有超过20万份提交的答案,这是选择各选项的百分比:

  · A 27.68 per cent

  · B 4.55 per cent

  · C 67.77 per cent

  Why is this question so tricky? It is because it appears to give you insufficient information. Anne’s marital status is not known, nor can it be determined, and so you make the inference that the question posed cannot be determined.

  为什么这道题这么难?因为显示的信息不充分。安是否已婚不知道,也不能下结论,所以你可能会选择无法回答。

  In fact, Anne’s marital status is irrelevant to the answer. If she is married, then a married person is looking at an unmarried person (Anne is looking at George), and if she isn’t, a married person is looking at an unmarried person (Jack is looking at Anne).

  事实上,安的婚姻状况和答案无关。如果安已婚,那么一个已婚的人在看一个未婚的人(安在看乔治);如果安未婚,那么一个已婚的人在看一个未婚的人(杰克在看安)。

  Written down it becomes more obvious. If ‘>’ means ‘looking at’ then:

  写下来可能会更清楚些。如果>是“看着”,那么:

  Jack > Anne > George, or

  Married > Unknown > Unmarried

  杰克 >安> 乔治

  或者已婚>未知>未婚

  Replace Unkown with Married or with Unmarried and either way there is clearly a married person looking at an unmarried one.

  未知无论是已婚还是未婚,答案都会是一个已婚的人看着一个未婚的人。


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