A chief of detectives had three likely candidates for a
vacancy in his department. To test their powers of
reasoning, he pulled out a red and black marker and
told them, “I am going to either make a red or black
mark on each of your foreheads. At least one of the
candidates will be marked black.
He then blindfolded the candidates and proceeded to
put a black mark on each of their foreheads. After he
removed the blindfolds, the three stared at each other for a few seconds, each seeing that the other two
marks were black, and then one of the candidates
said, “I have a black mark”.
How did the candidate arrive at this conclusion?
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Answer:
Because if the other candidates didn't see a black mark on his forehead, then they would be checking each other to determine whether they had the mark themselves. He would have seen that they were both unsure about if they had the mark, and as neither of them announced that they had the mark, they would have if only the other one had the mark, and he had a red one.
Explanation:
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