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The Logician's Birthday (Posted on 2004-11-17) Difficulty: 2 of 5

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?

See The Solution Submitted by Erik O.    
Rating: 3.5417 (24 votes)

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Hints/Tips a simple solution | Comment 52 of 75 |

there are three logicians and a leader

the leader either puts a green or pink sticker on there foreheads.

they all look around, puzzled

one logician automatically stands up and says green

he knows because if they look around for a while, he knows they all have the same colour therefore knowing he has green.

i'd say a similar answer goes with this puzzle


  Posted by daniel on 2004-12-17 23:34:54
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