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One of you all sent a fairly interesting problem, so I thought I would work it out. The problem is I have a group of 30 people, so 30 people in a room. Theyre randomly selected 30 people. And the question is what is the probability that at least 2 people have the same birthday? This is kind of a fun question because thats the size of a lot of classrooms. Whats the probability that at least someone in the classroom shares a birthday with someone else in the classroom? Thats a good way to phrase as well. This is the same thing as saying, what is the probability that someone shares with at least someone else. They could share it with 2 other people or 4 other people in the birthday. And at first this problem seems really hard because theres a lot of circumstances that makes this true. I could have exactly 2 people have the same birthday. I could have exactly 3 people have the same birthday. I could have exactly 29 people have the same birthday and all of these make this true, so do
