Search results
Results from the Think 24/7 Content Network
Coupon collector's problem. In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more ...
This situation is sometimes known as the “coupon collector’s problem” or “cereal box problem” (since the coupons are often a set of toys found in a packet of cereal) and the aim here is to analyse it generally and then demon-strate by using specific examples. It provides a most interesting instance of
This situation is sometimes known as the "coupon collector's problem" or "cereal box problem" (since the coupons are often a set of toys found in a packet of cereal). This article analyses this problem generally and then demonstrates it, by using specific examples.
The Collatz conjecture is: This process will eventually reach the number 1, regardless of which positive integer is chosen initially. That is, for each , there is some with . If the conjecture is false, it can only be because there is some starting number which gives rise to a sequence that does not contain 1.
For example, when n = 50 it takes about 225 samples to collect all 50 coupons. Although the O-notation is correct as it is, I think it would be better to be consistent with the following article and write n ln n + \gamma n + O(1).
You can find instant answers on our AOL Mail help page. Should you need additional assistance we have experts available around the clock at 800-730-2563.
Is there a name for, or any research on this specific variant of the coupon collector's problem?Specifically, I am looking for a formula that calculates the expected number of batches we need to draw in order to collect all N kinds of coupons, given that in one batch there are k coupons that are not necessarily different (we can for example get a batch of 10 same coupons).
Urn problem. Two urns containing white and red balls. In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to ...