In a roomful of 30 people, what is the probability that at least two people have the same birthday? Assume birthdays are uniformly distributed and there is no leap year complication.
In a roomful of 30 people, what is the probability that at least two people have the same birthday?
What is the prob that 30 people in a room all have different birthdays? (asssuming no one is born on 29th Feb)
365/365*(364/365)*(363/365) ...... [(366-30)]/365 = 0.2937
So the prob that 2 or more have the same birthday is 1-0.2937 = 0.7063 approximately.
In a roomful of 30 people, what is the probability that at least two people have the same birthday?
What is the prob that 30 people in a room all have different birthdays? (asssuming no one is born on 29th Feb)
365/365*(364/365)*(363/365) ...... [(366-30)]/365 = 0.2937
So the prob that 2 or more have the same birthday is 1-0.2937 = 0.7063 approximately.