Say you have n unique marbles in a bag. You take n marbles out of the bag with replacement. With infinite trials, on average what fraction of unique marbles will be taken out?
2026-03-17 00:57:53.1773709073
Calculating probability of unique marbles of a variable set
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Hints:
What is the probability a particular marble is taken out on a particular attempt?
What is the probability a particular marble is not taken out on a particular attempt?
What is the probability a particular marble is not taken out in any of $n$ attempts?
What is the probability a particular marble is taken out in at least one of $n$ attempts?
What is the expected number of the $n$ marbles taken out in at least one of the $n$ attempts?