出典:Wiktionary
出典:『Wiktionary』 (2025/05/16 13:54 UTC 版)
birthday problem
出典:Wikipedia
出典:『Wikipedia』 (2011/06/09 21:07 UTC 版)
In probability theory, the birthday problem or birthday paradox pertains to the probability that in a set of randomly chosen people some pair of them will have the same birthday. By the pigeonhole principle, the probability reaches 100% when the number of people reaches 366 (excluding February 29 births). But perhaps counter-intuitively, 99% probability is reached with just 57 people, and 50% probability with 23 people. These conclusions are based on the assumption that each day of the year (except February 29) is equally probable for a birthday.