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If each box of cereal contains 2 different prizes at random and there are 7 prizes total, how many boxes would you expect to open in order to collect all 7 prizes?

The standard version of this problem has 1 prize per box. See here.

Can this be generalized for n total prizes and k different prizes per box?

RobPratt
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Bart Wisialowski
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  • If you search the site for coupon collector you find several posts in this direction. – Ross Millikan May 09 '20 at 23:58
  • @RossMillikan: That was the wrong duplicate; it had random group sizes; I've replaced it by one with fixed group sizes. Since I keep searching for these various variations, I added them all to the probability part of the "List of Generalizations of Common Questions". – joriki May 10 '20 at 00:35
  • Here is an example of a similar problem with 5 prizes per box: https://math.stackexchange.com/questions/2402850/how-many-hypothetical-packs-do-i-need-to-get-every-card-in-a-set – awkward May 10 '20 at 15:36

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