If I'm selecting $N$ elements uniformly at random (with replacement) from $\{1, \dots, M\}$, what is the expected number of values that are selected exactly once?
The basis for this question originated here.
2026-03-26 06:25:28.1774506328
Expected number of unique selections
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Hint: Expected value is linear. What is the probability that a particular value is selected exactly once?