逻辑推理之四

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逻辑推理:根据别人的反应作出判断 

1. 一个老师有三个聪明的学生. 老师拿出两顶黑色的帽子, 三顶白色的帽子, 先让学生们看了一下, 然后让他们闭上眼睛,并给每个学生戴上一顶帽子, 剩下两顶则藏起来. 最后, 让他们睁开眼睛, 判断自己头上的帽子是什么颜色. 三个学生相互看了看, 都犹豫了一会儿. 然后, 每人都说自己戴的是白色帽子. 您知道为什么吗? 您能推广到“n个学生, n顶白帽子, n - 1 顶黑帽子? 

2. Three cards, each with a positive integer written on it, are laying face-down on a table. Casey; Stacy, and Tracy are told that (a) The numbers are all different, (b) They sum to 13, and (c) They are in increasing order, left to right. First, Casey looks at the number on the leftmost card and say; “I don’t have enough information to determine the other two numbers.” Then Tracy looks at the number on the rightmost card and say, “I don’t have enough information to determine the other two numbers.” Finally, Stacy looks at the number on the middle card and say, “I don’t have enough information to determine the other two numbers.” Assume that each person knows that the other two reason perfectly and hears their comments. What number is on the middle card?  

 

 

 

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