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Binomial Distribution

Binomial distribution of probability describes likelihoods of all possible outcomes of n successive trials where in each trial there is the same probability p of "success" (i.e. of a defined result like e.g. a head when tossing a coin). The probability P of seeing exactly x successes in n successive trials is given by the formula:
 P(X=x) = n! x!(n - x)! px(1-p)n-x

n>0, 0≤x≤n, 0≤p≤1

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# Calculator

Number of trials:n =

Probability of success in one trial:p =

Calculate the probability of x successes in n trials:
x =
Calculate the total probability of numbers of successes from the interval x1 - x2:
x1 = x2 =

P(X = x):

P(X ≤ x):

P(X ≥ x):

Mean:

### Tool Description

Binomial Distribution Calculator is a free online tool for calculations of probabilities of events following binomial distribution.