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Posted 1 Month ago
Lindy
Senior Boarder
Posts: 60
graphgraph
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There are three black hats and two white hats in a box. Three men (we'll call them A, B and C) each reach into the box and place one of the hats on his own head. They cannot see what colour hat they have chosen. The men are situated in a way that A sees the hats on B and 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 colour of the hat he is wearing he says no.

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

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

What colour hat is C wearing? (There is no play on words and no tricks)
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Posted 1 Month ago
Roger1955
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Posts: 76
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If A saw two white hats, he would know his was black; so A does not see two white hats.

If B saw that C had a white hat, he would know his was black (because otherwise, A would have seen two whites); so C does not have a white hat.

Black.
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Posted 1 Month ago
dagger29
Expert Boarder
Posts: 85
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Thanks Mike.
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