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Hats Puzzle

Since Andy doesn’t know the color of his hat, it means that the two boys in front of him are not both wearing blue hats. If they were, Andy would know his hat is red (since there are only 2 blue hats).

That leaves us with only three possible combinations for the front two boys:

Ben Clark
red blue
blue red
red red

If Clark were wearing a blue hat, Ben would see this and know that he himself is wearing a red hat.

Since Ben says he doesn’t know what color hat he is wearing, Clark must not be wearing a blue hat. Therefore, Clark is wearing a red hat.

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