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2 guesses, 3 hats (Posted on 2003-01-17) Difficulty: 2 of 5
When a person walks into a party he will be given one of 3 hats. Each hat is either yellow, red or blue. Every person does not know the colour of their own hat but he can see the colour of everyone else's.

At this point in the party everyone is seated in a circle and must guess the colour of their own hat. If they do they get 100 dollars.

Every person can make a guess of yellow, red or blue and nothing else. Every person gets two such guesses but these can be made in any order. (That is one need not make both his guesses one right after the other.)

In order to win with one of your two guesses you must say the colour of your own hat. How can every person guarantee themselves the money? (How can they have a 100% chance of guessing the colour of their hat correctly?)

See The Solution Submitted by Alan    
Rating: 2.3158 (19 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): 3 hats | Comment 3 of 10 |
(In reply to re: 3 hats by friedlinguini)

Subtle or not, c'st un kipper rouge - how can a person choose to sit with people wearing the same coloured hats as himself when he doesn't know what colour his own hat is?


  Posted by fwaff on 2003-01-17 04:09:09

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