There are 100 prisoners, numbered 1-100. The prisoners' numbers are written onto 100 cards, put randomly into 100 envelopes numbered 1-100. They can't communicate, but are invited, one by one, to open 50 envelopes. If any prisoner fails to find his number, they all get killed.
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Based on any form of independent drawing by the people the probability will be close to zero. This means that some property of the game has to be used. I have an idea, but proving that it works is kinda hard... University times are a couple of years back -.-
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