Binomial Distribution Calculator

Number of trials (n):

e.g., 10

Please enter a valid number between 1 and 150

Number of successes (r):

e.g., 5

Number of successes must be less than or equal to number of trials

Probability of success (p):

e.g., 0.5 for 50%

Probability must be between 0 and 1

Binomial Probability P(X = r):

About Binomial Distribution

The binomial distribution gives the probability of having exactly r successes in n independent trials, with probability p of success on each trial.

Formula: P(X = r) = C(n,r) × p^r × (1-p)^n-r

Where C(n,r) is the combination of n items taken r at a time.