Sharing Your Birthday
Birthdays are independent and uniform over 365 days (ignore leap years). Your birthday is fixed. What is the smallest number n of other people for which the probability that at least one of them shares your birthday exceeds 1/2?
Related problems & prerequisites
Worth solving first
- De Méré's Wager 4.0/10
Source: Classic companion to the birthday problem in wide circulation; no traceable original source. Statement written for AxiomIQ.