Geometric Probability Distribution Calculator

The Geometric Probability Distribution Calculator finds the exact and cumulative probabilities. Input the probability of a successful trial, p, and the number of the trial on which the first success occurs, k. The calculator outputs the exact and all cumulative probabilities.

Probability Calculator

Geometric Distribution: X ~ Geo(p)

Probability of success (p):

Number of trials (k):

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Understanding the Geometric Distribution

The geometric distribution is a discrete probability distribution that is used to find the probability that the first successful trial occurs on a certain trial. The probability that the first success occurs on trial k with a probability p is given:

Geometric Probability Equation:

$P(X = k) = (1-p)^{k-1} \cdot p$