Hats in a Box Riddle

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Hats in a Box Puzzle

There are 3 black hats and 2 white hats in a box. Three men (Call them A, B, & 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 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 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 and how can he be sure?

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The Solution
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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.

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