Hypergeometric Distribution

Count marked items in finite samples without replacement, explore exact event probabilities, and compare the variance with a replacement model.

Free theory article

Probability & Statistics

About Hypergeometric Distribution

Count marked items in finite samples without replacement, explore exact event probabilities, and compare the variance with a replacement model.

Take a fixed-size random sample from a finite collection containing marked and unmarked items. If items are not returned, draws depend on one another. The hypergeometric distribution describes the number of marked items selected. Here “marked” names a category, not a desirable outcome: it could mean defective parts, tagged animals or red cards.

Read the full free theory article More Probability & Statistics modules Report a correction Learning guides

The theory article is publicly readable. Interactive access follows the current free-module and PRO settings shown above.

Enable JavaScript to use the interactive controls. The introduction and theory article are available without JavaScript.