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Suppose we pick three people at random. For each of the following questions, ignore the special case where someone might be born on February 29,

Suppose we pick three people at random. For each of the following questions, ignore the special case where someone might be born on February 29, and assume that births are evenly distributed throughout the year. Assume independence between the people.

What is the probability that the first two people share a birthday?

What is the probability that at least two people share a birthday?

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