In this years IMO a decision has been taken that each team will be consist of 10 members. What is the probability that at least two people will have a birthday on the same day of the week?
2026-04-03 18:12:13.1775239933
Probability of birthday
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There are $10$ members. But there are only $7$ days of the week.
Hence by the pigeon hole principle, the probability is $\boxed{1}$ that at least two people will have a birthday on the same day of the week.