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This question already has an answer here:

You run an office that employs 23 people. What is the probability that two of your employees have the same birthday? For the purposes of the problem, ignore February 29.

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marked as duplicate by question_asker, kanchirk, Carl Löndahl, Zandar, DrunkWolf Jan 26 '16 at 12:56

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It's

0.507297

Because that's

1 - (1/365) ^ 23 * 365 * 364 * 363 * ... * 343

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