25 Jun '05 03:52

In this thread I will post some puzzles:

Three people are standing in a line, one behind the other, such that the last person can see both of the two people in front of him, the middle person can see only the one person in front of him, and the first person can see no one else. From a pile of five hats - - three of them white and two of them black - - which each person knows about, you place a hat on each person's head. None of them can see their own hats, but the last person can see each hat on the other two, and the middle person can see the one hat of the person in front of him. The last person in the line is asked what color hat he is wearing and he says, truthfully, he does not know. The middle person is then asked, after hearing all this, what color hat he has on, and he also truthfully says he does not know. The woman in the front then is asked what color hat she has on, and even though she cannot see any of the hats, she says she knows what color hat she has on. How does she know, and what color hat is it?

Three people are standing in a line, one behind the other, such that the last person can see both of the two people in front of him, the middle person can see only the one person in front of him, and the first person can see no one else. From a pile of five hats - - three of them white and two of them black - - which each person knows about, you place a hat on each person's head. None of them can see their own hats, but the last person can see each hat on the other two, and the middle person can see the one hat of the person in front of him. The last person in the line is asked what color hat he is wearing and he says, truthfully, he does not know. The middle person is then asked, after hearing all this, what color hat he has on, and he also truthfully says he does not know. The woman in the front then is asked what color hat she has on, and even though she cannot see any of the hats, she says she knows what color hat she has on. How does she know, and what color hat is it?