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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Replying to @mpeytonjones
Do you know the one with the island with 50 blue-eyed and 50 brown-eyed inhabitants (±1), none of whom know their own eye colour? I think that one is a close second for me...
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Replying to @propensive
Yup, that one's also great, but I feel people know it by now, whereas this one is still new to people.
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Replying to @mpeytonjones @propensive
How about the one where all the prisoners yell out their hat color at the same time? (They can all see each other)
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Replying to @propensive @mpeytonjones
2^n prisoners randomly assigned red/blue hats. The can see others', but not their own. Simultaneously, they yell red/blue/pass. Must have at least one correct guess, and no incorrect guesses.
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Oh, I just reread the earlier tweet and it makes sense. ;)
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there’s the one with pirates dividing a treasure on an island
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