Shared-birthday pairs

In a room of 30 people (365 equally likely birthdays), what is the expected number of pairs that share a birthday? (to 2 decimals)

Show hints (2)+
  1. Count pairs, not people.
  2. Each pair matches with probability 1/365.

Answer

Reveal answer →

1.19 (± 0.02)

Want the full step-by-step worked solution? It's part of Premium — along with a worked solution for every question in the bank.

Asked at: Optiver, SIG

Related questions