Hat Color Logic Puzzle

27. Hat Color Logic Puzzle

3 guys, one is blind. 5 hats 3 red 2 white. All are blindfolded even the blind guy and they each selected a hat put it on and without seeing are asked if they know what color hat they have. first 2 guys say no blind guy says yes. what color hat is the blind guy wearing and how does he know?

Added 5 August 2014

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Hint:

Consider the implications of the first two guys not knowing the color of their hats.

Solution:

The blind guy is wearing a red hat. He knows this because if the first two guys saw two white hats on each other, they would know they must be wearing red hats. Since they both said they didn't know, it means at least one of them must be wearing a red hat, which allows the blind guy to deduce that he must be wearing a red hat as well.

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