Probability › Probability by counting › Birthday problem

Every month has a birthday

University · ●●●○○ 50 pts

Assume 40 people are independent and each birthday is equally likely to fall in any of the 12 months. What is the probability that every one of the 12 months contains at least one of the 40 birthdays? Give your answer as a decimal rounded to seven decimal places.

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inclusion-exclusion