How many rolls of a $k$-sided dice should you expect to make before all numbers $1, 2,\dotsc, k$ have been seen at least once?
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4See Coupon Collector's Problem – Momo Nov 10 '16 at 01:39
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5Possible duplicate of Expected time to roll all 1 through 6 on a die Also, formatting tips here. – Em. Nov 10 '16 at 01:40