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Coupon collector problem different probability

Coupon collector problem different probability

General Solution to the Coupon Collector Problem For the coupon collector problem as stated above, the expected value of the number of purchases required in order to select each of the (n) objects at least once is: textEXnH_n Where (H_n) is the (ntextth) harmonic number. The first experiment has 19 trials, the second one has 12 trials and the third one has 15 trials. There is no closed form expression for the (ntextth) harmonic number. The mathematical principles behind this problem are useful for problems involving any number of different types of things: cards from collectible card games (CCGs sports cards, and, as seen in the example above, collectible toys. A random experiment that can modeled by a geometric distribution is the performance of a series of independent trials until some criterion is satisfied. Let Tm be the first time m copies of each coupon are collected.

This gives an approximate solution to the coupon collector problem : Approximate Solution to the Coupon Collector Problem For the coupon collector problem as stated above, the expected value of the number of purchases required in order to select each of the (n) objects. 1, for example, when n 50 it takes about 225 2 trials on average to collect all 50 coupons. Practically speaking, this means that objects can be selected more than once.