# Three hats

**Logic**Level 2

Alice, Bob, and Charlie are playing a game with hats. Each is wearing a hat that is either red, yellow, or blue. Though there are three possible hat colors, they might not be distinct - perhaps there are three red hats, or two blue and one yellow.

Alice, Bob, and Charlie each look at the other two hats and **simultaneously** guess their own hat color. They **must** guess, and **cannot convey any other information**.

Before they don their hats, they can agree on a strategy. Is there a strategy that guarantees **exactly one** of them will guess correctly?

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

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