# Geometric distribution

In probability, the geometric distribution with probability of success ${\displaystyle p}$, written ${\displaystyle \operatorname {Geo} (p)}$,[1] is a discrete probability distribution defined on non-negative integers. It is used to model the number of trials needed to obtain a first success, where the probability of success of each trial is ${\displaystyle p}$.[2]

An example involving geometric distribution is the number of times a die needs to be tossed in order to get a first heads.

The geometric distribution is the discrete analogue of the exponential distribution.[3]

## References

1. "List of Probability and Statistics Symbols". Math Vault. 2020-04-26. Retrieved 2020-10-13.
2. "11.1 - Geometric Distributions | STAT 414". PennState: Statistics Online Courses. Retrieved 2020-10-13.
3. Weisstein, Eric W. "Geometric Distribution". mathworld.wolfram.com. Retrieved 2020-10-13.