Use this hypergeometric distribution calculator to find the probability of drawing a specific number of successes in a sample taken from a finite population without replacement. Enter the population size (N), the number of successes in the population (K), the sample size (n), and the number of observed successes in the sample (k). For example, this hypergeometric distribution calculator can tell you the probability of getting 3 red marbles when drawing 5 from a jar containing 10 red marbles and 30 blue marbles.
The calculator displays several probabilities related to the value of k you enter, including exact, cumulative, and inverse cumulative probabilities. It also shows a hypergeometric distribution graph with bars for all possible outcomes, highlighting your selected value (k) in red. This visual helps you see how your chosen number of successes compares to the full range of outcomes in the sample. Below the hypergeometric distribution calculator, you’ll find more guidance and examples. See all my Statistical Calculators!