Birthday Group
What is the probability that three people in a group of n share the same birthday?
This is an extension to the original birthday problem, but with 3 people instead of 2. How do I work this out?
The probability that no one in a room of 3 people share a birthday is: 0.9917958
tThe probability that at least two people share a birthday in a room of 3 people is: 0.008204166
the probability that n people in room do not share a birthday is:
prod(365:(365-n+1)) / (365^n)
where prod(a:b) is the product of the integers from a to b
1 – prod(365:(365-n+1)) / (365^n) is the probability of at least two people sharing a birthday out of n people.
23.9.07 birthday group dance
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