Consider a normal $6$-sided die, how many rolls do I need to do to get all the possible rolls from $1$ to $6$? In general, what's the expected number of rolls of an $N$-sided die to get all the possible rolls from $1$ to $N$?
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2Think about the expected number of rolls to go from needing to get $n+1$ more number to needing to get $n$ more numbers. Given that you haven't shown any attempt, I don't want to give you any more than this hint. – Zoe Allen Mar 19 '23 at 15:46
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2https://en.wikipedia.org/wiki/Coupon_collector%27s_problem – leonbloy Mar 19 '23 at 15:48