# Can You Tell Me The Color of My Own Hat?

Logic Level 1

Three people $$A, B,$$ and $$C$$ are sitting on stairs one after another such that $$C$$ on the first stair cannot see the two above him and $$B$$ on the second stair cannot see the one above him. There are 2 red and 2 white hats available and each person is wearing one of them. However, no one knows the color of their hat.

The following conversation then took place between $$A$$ and $$B$$:

$$A:$$ I don't know which color hat I'm wearing.
$$B:$$ At first I didn't know, but I know the color of my hat now.

If $$C$$ is wearing a red colored hat, what color hat is $$B$$ wearing?

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