Brainteaser for January 12, 2010

Question:

There are 3 black hats and 2 white hats in a box. Three children (we will call them Robert, David, and Melissa) each reach into the box and place one of the hats on their own head. They cannot see what color hat they have chosen. The children are situated in a way that Robert can see the hats on David and Melissa's heads, David can only see the hat on Melissa's head, and Melissa cannot see any hats. When Robert is asked if he knows the color of the hat he is wearing he says no. When David is asked if he knows the color of the hat he is wearing he says no. When Melissa is asked if she knows the color of the hat she is wearing she says yes and she is correct.

What color hat is she wearing and how did she know for certain?

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