The four criminals are seated in a line. They are all facing the same direction. A wall separates the fourth man from the other three. They all know that between them they are wearing four hats - two black and two white - but they do not know what colour they themselves are wearing.
Man D can see men B and C.
Man C can see man B.
Man B cannot see anyone.
Man A cannot see anyone.
In order avoid being shot, any one of them must call out to the executioner the colour of his hat. If the answer is wrong, everyone will be shot. They also have to follow the following rules:
- They cannot turn around or move.
- They cannot talk to each other.
- They cannot take their hats off.
After one minute, one of them calls out.
Which one of them calls out? Why is he 100% certain of the colour of his hat?
Put on your thinking cap! The answer will be posted here next week. Have fun!
Man C. Man D will be able to see men C and D but the two colours are different so he cannot guess the colour of his hat so as to reduce the chance of being shot. So when man D do not say anything, man C will know that his and man B's hat colour is different so if the colour of the hat of man B is white, he'll know that his hat colour is not white, but black instead so this makes man B 100% certain of the colour of his hat.
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