A logician invites 6 of his logician friends to help him celebrate his birthday. Each of the 6 guests is wearing a hat which is either red, yellow, or blue, and the logician host informs them all that there is at least 1 of each color. After they eat the cake, the host stands up and exclaims there is a special party prize for the first person who can deduce what color hat is on their head. The party guests all looked around the room at each other but no one claimed the prize immediately. Suddenly all 6 guests stood up and correctly identify what color hat was on their head.

What were the colors of their hats and how did they know?

(In reply to correct solution by Natasha Prasad)

even if the person who can see that there are three of one of them they would still have to know what color was on their own head if they were not that one where lets say there is only one of the person who saw that there was no one else with lets say red, that person would know that they were wearing red but the rest of them dont know if maybe there is a second red one on their head since they can see all colors represented!

Posted by Robin on 2004-11-26 07:21:31