In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the number of successes in a sequence of n draws from a finite population without replacement. (Wikipedia)
A classic example is drawing cards from a deck. If there are 52 cards in a deck (N), four of which are aces (n), what is the probability that, if you are dealt a hand of five cards (r), three of them will be aces (x)?
Note: This calculator is still under development. It is possible to get nonsense results if, e.g., N<{n,r,x} or n<x.
p = 100%