# Hypergeometric Probability Distribution

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A hypergeometric probability distribution is a probability distribution whose probability values generally conform to a hypergeometric probability function.

## References

### 20006

- (Dubnicka, 2006f) ⇒ Suzanne R. Dubnicka. (2006). “Special Discrete Distributions - Handout 6." Kansas State University, Introduction to Probability and Statistics I, STAT 510 - Fall 2006.
- HYPERGEOMETRIC DISTRIBUTION: Envision a collection of n objects sampled (at random and without replacement) from a population of size N, where r denotes the size of Class 1 and N − r denotes the size of Class 2. Let X denote the number of objects in the sample that belong to Class 1. Then, X has a hypergeometric distribution, written X Hyper(N, n, r), where
- N = total number of objects
- r = number of the 1st class (e.g., ”success”)
- N − r = number of the 2nd class (e.g., ”failure”)
- n = number of objects sampled.

- HYPERGEOMETRIC DISTRIBUTION: Envision a collection of n objects sampled (at random and without replacement) from a population of size N, where r denotes the size of Class 1 and N − r denotes the size of Class 2. Let X denote the number of objects in the sample that belong to Class 1. Then, X has a hypergeometric distribution, written X Hyper(N, n, r), where