"In probability theory, the coupon collector's problem describes the "collect all coupons and win" contests. It asks the following question: Suppose that there are n coupons, from which coupons are being collected with replacement. What is the probability that more than t sample trials are needed to collect all n coupons? An alternative statement is: Given n coupons, how many coupons do you expect you need to draw with replacement before having drawn each coupon at least once. The mathematical analysis of the problem reveals that the expected number of trials needed grows as Θ(nlog(n)). For example, when n = 50 it takes about 225 trials to collect all 50 coupons."