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?

ok so .. there are six ppl and at least one of each colour. clearly there have to be two of each colour (if not then say ...there were only one red hat. the person wearing the red hat would see no other red and would thus immediately announce his name). since this has not happend. everyone had correctly deduced that there are TWO OF EACH COLOUR. so each person looks around him/her and notices which coloured hat appears only once. he/she is therefore that same colour.

Posted by Natasha Prasad on 2004-11-24 21:56:52