Science & Engineering

Hypergeometric Distribution Calculator (Without Replacement)

The hypergeometric distribution gives the chance of drawing k successes in n picks when you do not put items back. Enter the population, successes, draws, and target to get the full probability set.

How to use
  1. Enter the population size N and the number of successes K in it.
  2. Enter how many you draw (n) and your target count of successes (k).
For study and estimation. Verify against authoritative data before relying on a result.
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Common questions

When do I use the hypergeometric distribution instead of the binomial?

Use it when you draw without replacement, so each pick changes the odds. The binomial assumes replacement or an effectively infinite pool where the probability stays fixed.

What is a real example of hypergeometric probability?

Drawing cards from a deck. The chance of getting exactly 2 aces in a 5-card hand from a 52-card deck (4 aces) is a textbook hypergeometric problem, about 0.04.

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