Hypergeometric Calculator
Calculate the probability of exactly k successes in draws without replacement.
Formula and assumptions
Probability of exactly k successes in simple random sampling without replacement.
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Frequently asked questions
When is the hypergeometric distribution used?
It models draws from a finite population when each item is selected without replacement, such as counting a set number of marked items in a sample.
How is hypergeometric probability calculated?
For exactly k successes, the probability is C(K,k) × C(N−K,n−k) / C(N,n), where N is population size, K is the number of successes, and n is the sample size.
How is it different from the binomial distribution?
The hypergeometric model samples without replacement from a finite population; the binomial model assumes independent trials with a fixed success probability.