How does a blind know the color of his hat?

Logic Level 3

There are totally 2 red hats and 3 white hats. There are 3 men A, B, C each have a hat on his head. A, B each can see other 2 mans' hats but cannot see his own hat. C is blind.

Now firstly A says he don't know the color of his hat.

And secondly B says he also don't know the color of his hat.

Finally after hearing what A and B said C says he knows the color of his hat.

What is the color of C's hat? How does C know?

White This is an impossible scenario Red

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1 solution

Yatin Khanna
Oct 15, 2016

A could have known the colour of his hat if both the hats of B and C were red.
Hence, at least 1 of them has a white hat.
If C were to have a red hat, B could immediately have deduced that his hat was white.
But, since both did not know, this clearly implies that C has a white hat.

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