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RobinZ comments on Cryonics Wants To Be Big - Less Wrong
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...assuming independence. A die has a 50% chance of rolling an odd number in each roll and a 50% chance of rolling an even number in each roll, but the odds of rolling both simultaneously in each roll is 0% by definition. Or, going the other way, a 50% chance of even and ~16.7% chance of a six - but a 16.7% chance of an even six.