A, B, and C were in a line blindfolded. They each had a hat put on their heads. They knew that the hats were taken from a box of 2 red, 2 yellow, and 3 blue hats. When the blindfolds were taken off, A could see B's and C's hats, B could only see C's hat, and C could not see any hats. They made the following statements.

A:I cannot tell what color my hat is not.
B:I cannot tell what color my hat is not.
C:I can tell what color my hat is.

What color is C's hat and how does C know?

From A's statement, B and C know that their hats are not both yellow and are not both red.  If they were, then A would know that his hat was not the same color as the two hats ahead of him.

Edited on April 16, 2014, 11:00 am

Posted by Steve Herman on 2014-04-16 10:59:37