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K.Haught
Post subject: Hats Riddle  PostPosted: Oct 27, 2005 - 01:35 PM





General
Hats

There are 3 black hats and 2 white hats in a box. Three men (we call them A, B, & C) each reach into the box and place one of the hats on his own head. They cannot see what color hat they have chosen. The men are situated in a way that A can see the hats on B & C's heads, B can only see the hat on C's head and C cannot see any hats.

When A is asked if he knows the color of the hat he is wearing, he says no.

When B is asked if he knows the color of the hat he is wearing he says no.

When C is asked if he knows the color of the hat he is wearing he says yes and he is correct.

What color hat and how can he be sure?


                    
Courage is not the lack of fear but the ability to face it.
 
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Stormbird
Post subject:   PostPosted: Oct 28, 2005 - 12:15 PM





Major General
My guess is, Mr. C. is wearing a WHITE hat.

Because... well... It's too complicated to try to type and I've already typed too much today.

So goes my faulty logic.

Stormbird


                    
Those that have never known fear, have never known ME.
 
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K.Haught
Post subject:   PostPosted: Oct 28, 2005 - 02:15 PM





General
Solution

A must not see two white hats on B & C, or he would know his own must be black.

So his answer establishes that at least one of the hats on B & C is black.

If B saw that C was wearing a white hat, then B would know his own was black.

Since B could not say that truthfully, then C must be wearing black and therefore answers correctly.


                    
Courage is not the lack of fear but the ability to face it.
 
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