The first friend will have the birthday on some given day, doesn't matter when.
The prob that the second friend will have a different birthday = 364/365
the prob that the third friend will have a birthday from the other two = 363/365
prob that all three have different birthdays
= 1(364/365)(363/365)
So prob that somebody has the same birthday
= 1 - the above
= appr .0082
In group of three friends what is the probability that at least two have the same birthday?
1 answer