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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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i agree | Comment 31 of 75 |

First of all.. good afternoon.. because in here(indonesia) it's 2PM. i am new here.. it's on v ice.. ok, go to topic, that i agree with Natasha Prasad solution.. just like what i think about... because if there at least one hat each colour there must be 2 each colour because if there is just one colour hat (it's can red or another else), so there must be the one who get that hat must be stood up.. but it no happen.. so, that must be 2 hat each colour.. so, they can say the what colour of they hat.. it's the one colour that they see in the rest 5 person... if there just one colour of yellow.. that he take yellow hat... sorry if my english is bad... thanks...

keep s Mi Le


  Posted by sragen on 2004-11-26 06:36:11
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