Picture card of a famous basketball player


A certain bubble gum company includes a picture card of a famous basketball player in each pack of bubble gum it sells. A complete set of cards consists of n players. Suppose that every pack you buy is equally likely to contain the picture of any of the n players. Let X be the random variable which is the number of packs you need to buy to have a complete set. What is E(X)? (Hint: think about representing X as the sum over i of the number of steps needed to go from having a set with i distinct players to i + 1 distinct players.)

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Basic Statistics: Picture card of a famous basketball player
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