The bbinomial distribution/b is an example of a discrete probability distribution.

A random variable (X) can be modelled with the binomial distribution if the following conditions are met:

• there is a fixed number of trials ((n)),
• there are only two possible outcomes (success and failure),
• there is a fixed probability of success ((p)), and
• the trials are independent of each other.

The binomial distribution can be denoted by (X∼B(n,p)).

The probability mass function of a binomially distributed random variable is given by:

(P(X=r) = \dbinom{n}{r}p^r(1-p)n-r)

[b]uBinomial distribution[/u]/b

(X∼B(n,p))

(P(X=r) = \dbinom{n}{r}p^r(1-p)n-r)