So he sees at least one blue hat. Therefore, he would immediately figure out his own hat was red and leave the room. If the front and middle guys had black hats, the guy in the back should know immediately that his is white (since there are only 2 black hats). The place for puzzles of all kinds including puzzle games. The man wearing the red hat sees no red hats but does see the raised hands, so he concludes that his hat must be red and he leaves the room. If you would like to suggest one, email me. If both front men were wearing black, last man would know Knowing this, if B saw that A’s hat was black, then B would (after waiting for C to not declare “white”) promptly thereafter declare that his hat was white (because B knows that A and B cannot person has a black hat (again, assuming that the two men behind him are reasoning correctly). The key line is the men pondering in slience, esp. If the middle saw a black hat, he would know his was white since one of the two must be white. His silence thus tells the first man Since He is correct. Inside of a dark closet are five hats: three blue and two red. That's correct! The result of math class test came out. They all know who the colourblind person is. If he saw a black hat he would know his was white and said so. In order to arrive at the conclusion that only one man leaves the room, we conclude that the men reason logically at different rates and that the man to leave the room first has reasoned faster than the others. Haven’t had my coffee yet, but I’ll take a stab at it. If the man in back sees two black hats, then he would know his hat is white, and announce this. From Wikibooks, open books for an open world, https://en.wikibooks.org/w/index.php?title=Puzzles/Logic_puzzles/3_Hats_in_a_Circle/Solution&oldid=3351351. Therefore, he saw at least one The first man, standing at the front of the line, can’t see either of the men behind him or their hats. How do they do it? The first man then knew that if he had a black hat one of the other two men would have spoken up first. So in short, I would stand up result there would be no delay. As he has not spoken in a while, it is clear that at least one of the first two hats is white. Assume the front man is A, B is middle, and C is rear. If the first man and the second man were both wearing black hats, the third man would have quickly responded that his hat was white — since the hats came from a pool that only contained two black hats. The guy in the front can therefore conclude that he’s wearing a white hat. man, at the rear, can see both other men and their hats. If there are no red hats, then no man raises his hand, each man sees that the others do not raise their hands and thus concludes that his hat must be green, so he immediately leaves the room. They all must guess their hat color based on what they planned and see, and at least one of them must be right on every time. 12. Since none of the men behind you are speaking up, they are seeing a white hat on your head. Each red hat-wearing man sees a red and a green hat and deduces that his hat must be red because the other red hat-wearing man's hand is raised. Following from this, the 2nd man can see the first man’s hat. With that information, if the middle man sees a black hat in front of him he would know for sure that his hat is white, but if he sees a white hat he can’t say anything. brain-teaser that she first heard in her childhood. Here’s another puzzle for you to solve, and another chance to win a prize. Now let’s assume that one of them is colourblind. I can remember only two of them as “Tuesday , Thursday”. He doesn’t so one of the hats is white. Yes, he is. ... Ragib: I got digits of a 2 digit number Sakib: Is it an odd? Once outside the closet, no man can see his own hat. To solve this problem, we must answer the following question: what happens when the number of red hats is between 0 and 3? If the person ahead of him has a black hat, then the middle person can yell that his is white.

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