The birthday problem

In a room of 23 people, is the probability that at least two share a birthday closer to 50% or to 5%? Explain.

Show hints (2)+
  1. It's easier to compute the probability that all birthdays are distinct.
  2. Think about the number of pairs, not the number of people.

Answer

This is an open-ended question — work through it and compare your reasoning.

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Asked at: Jane Street, SIG

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