Coupon Collector Problem

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

If a package has one of 50 random baseball cards, how many packages do you need to buy to get a complete set? The expected answer is packages, where is the harmonic number . Switching from baseball cards to coupons gives the coupon collector problem: if there are different kinds of coupons and many of them are distributed randomly, the expected number of purchases necessary for a complete set is .

Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.