I have the following problem. It is a simple birthday probability problem with 3 people but I can't crack it
Annie, Boris, and Charlie have random and independent birthdays. (We ignore leap years, so that a year has 365 days.) What is the probability that Annie, Boris, and Charlie have the same birthday?
My attempt is to take the probability that 2 of them have the same birthday and multiply it by 3, because there are three people but this does not seem to be right.