Required Mathematical Intelligence

Chapter 19 The Hat Problem ([-])

This question is similar to the previous one, except that the three students are standing opposite each other and can see each other.After a while, the three students said in unison that they were wearing white hats.How did they guess it?

[Answer: One of the students (maybe set it as A) thinks this way: Suppose I am wearing a black hat, and the other two students will make the following reasoning after seeing it (assuming it is B first): There are only two black hats in total. A has already worn one. If I wear a black hat, and C sees that A and I are both wearing black hats, he can immediately tell that the hat he is wearing is white. Since he is hesitating, it means that I and A are wearing black hats. At least one of A is not wearing a black hat, but A is wearing a black hat, so I must be wearing a white hat, so B can quickly judge the color of the hat he is wearing.But B is also hesitating, indicating that the hat I am wearing is not black.Because these three students have relatively high intelligence, they all do the same reasoning, so they all answered the correct result. (To solve this question requires a strong thinking ability, some people may not understand the answer for a while, it is normal, do not feel inferior)]
(End of this chapter)