If I have n coupons to collect and I buy only 2n boxes, how many distinct types of coupons can I expect to have?
2026-02-23 06:37:08.1771828628
Variation of coupon collector's problem?
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Hint:
For $i=1,\dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+\cdots+X_n)$