We have provisions in 5 hats 3 white and 2 blacks.
We lined up 3 men, each of which we put a hat chosen at random among
They can not see his own hat, but the third sees the first two, the latter sees the former.
I ask the third man: what color is your hat, and he answers: I do not know.
I ask the second man: what color is your hat? and he answers: I do not know. I ask the first man the
same question and he answers: my hat is this color.
Question: what color is the hat of the first man and why?
There are two blacks and three whites.
if the third saw two blacks in front of him, he would say that his hat is white, logical, but as he says:
I do not know, it means that in front of him does not see two blacks, but: 2 white, or a white and a
black or a black and a white.
the second, if he saw himself in front of a black hat, as it can not be two blacks, would say: my hat
is white; but as it says: I do not know, it means that he sees a white hat, and then the first one says:
the mine is white.