# Geometric distribution (probability that the first occurrence of success)

## Description

Geometric probability is the probability that the first occurrence of success requires k number of independent trials, each with success probability p.
( The probability distribution of the number X of Bernoulli trials needed to get one success, supported on the set { 1, 2, 3, ...})

If the probability of success on each trial is p, then the probability that the kth trial (out of k trials) is the first success. (This form of geometric distribution is used for modeling the number of trials until the first success).

## Variables

Pr_{kX} | Geometric probability (dimensionless) |

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

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