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A Logical Draw

Three puzzle competitors are blindfolded. A white piece of paper is glued to each one’s forehead and they are told that not all the pieces of paper are black. The blindfolds are removed and the prize goes to the first man to deduce whether the paper on his forehead is white or black.

All three announce white at the same time. Why?

Puzzle provided by Kordemsky: The Moscow Puzzles (Dover)  

 

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