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October 30th, 2008, 06:16 AM   #1
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I want to play a game..

I just heard an interesting problem. The original version was described in Chinese, here's the translation:

Game of Death

You are the leader of an assault squad, and unfortunately your team is prisoned by foe. The enemy want to play a game with you. The rule is simple, there are ten members in your team, and some of them (including you) are chosen and marked unknowingly. Then all members stand around, everyone can see each other (and marks) but no communication allowed. The deadly question "how many men are marked" will be asked for 10 times. At each time everyone has chance to answer it. However, any wrong answer makes you lose the game, and all marked men get executed. If the answers contradict (i.e. different answers are given) the game is over, the execution is carried out too. Denying answering last question also makes the game over. The only way to survive it is answering the question correctly and coherently, before the game is over.

Now let the game begin, what kind of strategy will you take to make sure the risk is minimized?
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