Three prisoners are each given a hat that is either red or blue. They can see the hats of the others but not their own. If the first prisoner says he does not know the color of his hat, and the second prisoner hears this and also says he does not know, what can the third prisoner conclude about his own hat color?

Category: Brain Teasers · Difficulty: expert

Hint: Consider the implications of their statements.

Answer

His hat is blue.

Explanation

The first prisoner not knowing means there isn’t a definitive color he sees on the other two; if the second also doesn’t know, it indicates the third's hat must be blue.

This is a expert brain teasers riddle — one of the harder riddles here. The answer is His hat is blue..

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