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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).

Related formulas

Variables

PrkXGeometric probability (dimensionless)
p The probability of success on each trial (dimensionless)
kThe number of independent trials( k = 1, 2, 3, .... ) (dimensionless)