Binomial Distribution Calculator

Calculate binomial probabilities P(X=k).

Binomial Parameters

Set n, p, k, and select probability mode

Probability Mode
Number of Trials (n)
Probability of Success (p)
Number of Successes (k)

Enter your values above and tap Calculate Probability to see the result.

Your Results

P(X = ) P(X ≤ ) P(X ≥ )
Mean
Variance
Std Dev

Enter binomial parameters above and tap Calculate.

Step-by-step Solution
Probability Mass Function
Cumulative Distribution Table
k P(X=k) P(X≤k) P(X≥k)