Question: This problem is the famous Birthday Problem in the statistics literature. The problem is the following: In a room of (n) people, what is the

This problem is the famous "Birthday Problem" in the statistics literature. The problem is the following: In a room of $n$ people, what is the probability that at least two people share the same birthday? You can ignore leap years, so assume there are 365 different birthday possibilities, and you can also assume that a person being born on any of the 365 days is equally likely.

a. If there are 23 people in the room, what is the probability that at least two people share the same birthday?

b. How many people need to be in the room for there to be a .99 probability that at least two people share the same birthday?

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