Binomial Distribution Calculator

Binomial probability calculator: P(X = k), P(X ≤ k), P(X ≥ k), mean and variance for n trials with success probability p.

Results

P(X = k)—
P(X ≤ k)—
P(X < k)—
P(X ≥ k)—
Mean np—
Variance np(1−p)—

How to use the Binomial Distribution Calculator

  1. Enter or select: Trials n, Successes k, Probability of success p.
  2. The results (P(X = k), P(X ≤ k), P(X < k), P(X ≥ k), Mean np, Variance np(1−p)) are calculated instantly as you type.
  3. Use “Copy link” to share the calculation with the same input values.

Formula

  • P(X = k) = C(n, k)·pᵏ·(1 − p)ⁿ⁻ᵏ