Logic Puzzles

72. The Blind Man's Hat Riddle

There was a king and he said to the 3 prisoners I have 3 black hats and 2 white ones. If you can guess the color of hat you are wearing I'll let you go but if not you'll be killed. The thing is, there are 2 men & 1 blind man. The king blindfolds the prisoners and puts the hats on. He then tells them to remove them. The first prisoner looks at the 2nd and 3rd prisoner and says I don't know I cannot tell. The 2nd prisoner then looks at the 1st and 2nd prisoner and says I don't know I cannot tell. The 3rd prisoner then says I know! I have a black hat on. He then gets released. The question is how did the blind man know he was wearing black?

Added 25 March 2014

Solution:

The blind man can deduce the color of his hat based on the responses of the other two prisoners. If the first prisoner sees two white hats, he would know his hat must be black. If he sees one black and one white, he cannot be sure. The blind man, knowing this, can conclude that if the first prisoner is unsure, he must be wearing a black hat. Therefore, the blind man can confidently say he is wearing a black hat.


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