# Geometric distribution (probability of failures before the first success)

## Description

The probability distribution of the number Y = X − 1 of failures before the first success, supported on the set { 0, 1, 2, 3, ... } is giving by a form of geometric distribution which is used for modeling number of failures until the first success.

Related formulas## Variables

Pr_{Y} | The geometric distribution of the number of failures before the first success (dimensionless) |

p | The probability of success on each trial (dimensionless) |

k | The number of independent trials (k = 0, 1, 2, 3, ....) (dimensionless) |