Binomial Distribution Calculator

Find exact and cumulative binomial probabilities along with the mean, variance and standard deviation of the distribution.

Number of trials (n)

Independent trials, from 1 to 10,000.

Probability of success (p)

Decimal between 0 and 1 (0.5 = 50%).

Number of successes (k)

Whole number between 0 and n.

Probability to compute

P(X = 5)

0.246094

24.6094%

Mean (n·p) —

Variance (n·p·q) —

Std. deviation (σ) —

Mode —

Related probabilities

Probability	Value	Percent

P(X = k) = C(n, k) · p^k · (1 − p)^{n − k}