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In probability theory, the birthday problem or birthday paradox concerns the probability that, in a set of $n$ randomly chosen people, some pair of them will have the same birthday.

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We can be even more precise than @Mike Shi's data: the most dangerous of all birthdays is the very first one. The 1st day mortality rates reported there are around 0.2 % for industrialized countries …
answered Dec 29 '13 by cbeleites