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Monday, July 28, 2008

Guess What

Martin has one of the numbers 1, 2, or 3 in mind. Sophie is allowed to ask one question to Martin to find out which of these three numbers he has in mind. Martin will answer this question only with the answers "yes", "no", or "I don't know".

The Question: Which question should Sophie ask Martin to find out in one time which number he has in mind?

Answer: Sophie could for example ask Martin the following: "I have the number 1 or 2 in mind. Is the number that you have in mind larger than the number I have in mind?" The answer "yes" means that Martin has the number 3 in mind, "I don't know" means 2, and "no" means 1.

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