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A group of 3 juniors and 2 sophomores is taking turns to take notes for a class that they are taking together. Each time, they
A group of 3 juniors and 2 sophomores is taking turns to take notes for a class that they are taking together. Each time, they pick a student at random, and do not pick that student again. Let X be the number of turns until and including the first time a sophomore is chosen. Write down the distribution of X and compute its expected value.
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