三顶顶扫货顶顶扫货顶

有三顶黑帽子、两顶白帽子A、B、C三个人在黑暗中分别拿一顶戴上。开灯后每个人是看不到自己帽子的A看了其他两个人之后无法判断自己帽子颜色,于是说不知道;B看叻其他两人之后也说... 有三顶黑帽子、两顶白帽子A、B、C三个人在黑暗中分别拿一顶戴上。开灯后每个人是看不到自己帽子的A看了其他两個人之后无法判断自己帽子颜色,于是说不知道;B看了其他两人之后也说自己不知道自己帽子颜色;C本来也判断不出自己帽子颜色但听叻A和B的话后,C说可以判断自己的帽子颜色了A、B、C都没有撒谎,且都足够聪明请问A、B、C三人各戴什么颜色的帽子?并说明理由

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采纳数:7 获赞数:7 LV3

首先不会出现同时两顶白帽子的情况因为戴黑帽子的人一眼就会看出来自己戴的是黑帽子

假设A戴的是白帽子,BC有以下两种可能

如果是一白一黑戴黑帽子的人就会知道自己昰黑帽子。如果是两顶黑色A在说不知道的时候,BC就知道自己戴的不是白帽子所以不会出现C听见两个人的回答才知道的情况。

所以A不可能戴白帽子戴的是黑帽子。

如果B看见的是A戴黑帽子C戴白帽子。在A说不知道的时候就知道自己戴的是黑帽子因为如果他戴的是白帽子那么A就知道自己戴的是黑帽子

如果C戴的是白帽子,B在A回答后就知道自己戴黑帽子

所以三个人戴的都是黑帽子

啰嗦了一点满意请采纳哦

你對这个回答的评价是?

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