Three Share a Birthday
Birthdays are independent and uniform over 365 days (ignore leap years). What is the smallest number of people n for which the probability that some three (or more) of them share a birthday exceeds 1/2?
Related problems & prerequisites
Worth solving first
- Sharing Your Birthday 5.0/10
- A Repeated Face 5.0/10
- De Méré's Wager 4.0/10
Source: Classic extension of the birthday problem in wide circulation; no traceable original source. Statement written for AxiomIQ.