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 this be? There is no play
on words and there are no tricks.
Answer:
A will know only if, B and C are wearing White hats.
i.e B W W
and since A does not know, B and C are wearing either of,
B B
W B
B W
Now B would know what he is wearing if it C was wearing W. (last option)
Since B does not know, C knows for sure that he is wearing W
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