Maya, Nina, and Omar stand in a single line facing forward: Maya at the back, Nina in the middle, Omar at the front. There are 3 white hats and 2 black hats available. Maya can see Nina and Omar's hats. Maya says she doesn't know her hat color. Nina, hearing this, realizes she knows her own hat color. If Omar is wearing a black hat, what color is Nina's hat?
White
If Nina were also wearing a black hat, Maya would have seen two black hats and known her own hat was white. Because Maya did not know, Nina deduces that she and Omar cannot both have black hats. Seeing Omar in a black hat, Nina concludes her own hat must be white.
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Hard. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
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