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Birthday problem
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===First match=== A related question is, as people enter a room one at a time, which one is most likely to be the first to have the same birthday as someone already in the room? That is, for what {{mvar|n}} is {{math|''p''(''n'') β ''p''(''n'' β 1)}} maximum? The answer is 20βif there is a prize for first match, the best position in line is 20th.{{citation needed|date=September 2019}}
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