The Bernoulli distribution is a discrete probability distribution with the only two possible values for the random variable. Each instance of an event with a Bernoulli distribution is called a Bernoulli trial.
The Bernoulli distribution uses the following parameter.
|Probability of success|
The probability mass function (pmf) is
The mean is
The variance is
The Bernoulli distribution is a special case of the binomial distribution, with the number of trials n = 1. The geometric distribution models the number of Bernoulli trials before the first success (or first failure).