Question 136137
The back genius doesn't know. How can this be? If both the middle and the first people were red, the back would know his was white. He doesn't know. So the options for the two hats he sees are either : 1 red/1 white, or 2 white.


The middle genius doesn't know. He logically decides the first guy saw either 2 whites, or a white and a red. Since he can see the person in front of him, he must be seeing a white hat on the first genius. Because if he saw a red hat on the first genius, he (the second genius) would have to be wearing a white one. And since he is a genius, he would say 'i know'.


The first genius uses the logic above to say "I know". And when they ask what color, she will say "white".

Make sense?