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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: 3.4783 (23 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(2): Another Aproach: | Comment 19 of 60 |
(In reply to re: Another Aproach: by jmnw)

If I see two yellows, two reds, and one blue, AND I'M NOT WEARING BLUE, then the guest with the blue hat would be able to guess his own color, and would claim the prize immediately. Since that didn't happen, it must be I'm wearing blue.
  Posted by Federico Kereki on 2004-11-19 17:05:00

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