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.
No, that's not permitted. Every prisoner is presented with exactly the same envelopes in exactly the same state.
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Sorry I missed the clarifications, but the "each prisoner...for each" confused me. It must surely mean all prisoners can see the opening of envelopes for the rest of the prisoners, thus being able to map the whole envelope contents with the over 30% survival probability.
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Nope. It's not based on someone seeing someone else's openings.
@propensive thanks for sharing this, was cool thinking about it. - Show replies
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