Question 69
Six people are sitting around a circular table. Each one wears a hat. Between each two people there is a screen so that each one can see the hats of the three in front of them, but they cannot see the one of the person on their left or the one on their right or their own. They all know that three of the hats are white and three black. They also know that each of them is capable of obtaining any logical deduction that is feasible. We started with one of the six people and asked "Can you deduce the color of some hat you don't see?" Once you have answered (everyone hears the answer), we pass the person on your left and ask the same question, and so on. It shows that one of the first three will answer "yes".