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Binomial Probability Calculator

Find exact and cumulative binomial probabilities P(X = k), P(X ≤ k), P(X ≥ k) with mean, variance and a probability chart.

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What is the Binomial Probability Calculator?

Use it when you repeat the same yes/no trial n times with success chance p – coin tosses, defect checks, exam guesses. Enter n, p and k to get the probability of exactly k successes, at most k, at least k, plus the mean, variance and a bar chart of the whole distribution.

How to use the Binomial Probability Calculator

  1. Enter the number of trials n.
  2. Enter the probability of success p (0 to 1).
  3. Enter the number of successes k.

What is the formula?

P(X = k) = C(n, k) × pᵏ × (1 - p)ⁿ⁻ᵏ.

This Binomial Probability Calculator is 100% free, needs no signup and runs privately in your browser – on phone, tablet or computer.

Last updated: · By NodifyTech