This calculator finds Binomial probabilities associated with a provided probability of success (p) and the number of failures until the first success (x).
Enter the required values, then click the
P(X = ):
P(X < ):
P(X ≤ ):
P(X > ):
P(X ≥ ):
About the Geometric Distribution
The geometric distribution is a discrete probability distribution that represents the probability of a given number of successive failures before a success is obtained in a Bernoulli trial. A Bernoulli trial is an experiment with only two possible outcomes, in other words: yes/no or success/failure.
A geometric distribution is concerned only with the first success. The random variable x counts the number of trials required to obtain that first success.
The negative binomial distribution is a discrete probability distribution that models the number of failures in a sequence of Bernoulli trials before a specified number of successes (r) occurs. A geometric distribution is a special negative binomial distribution, where the number of successes r equals 1.