📊 Binomial Distribution Calculator
Calculate binomial probabilities
Between 0 and 1
How Binomial Calculation Works
- 1Enter n (number of trials), k (successes), and p (probability of success per trial).
- 2P(X=k) = C(n,k) · p^k · (1-p)^(n-k) is computed.
- 3The tool also shows cumulative P(X≤k), P(X≥k), expected value (np), and standard deviation.
About Binomial Distribution Calculator
Calculate binomial probabilities for exactly k successes in n trials. Also computes cumulative probabilities and expected value.
Frequently Asked Questions
When do I use the binomial distribution?
When you have a fixed number of independent trials, each with the same probability of success (e.g., coin flips, pass/fail tests).
What if n is very large?
For large n, the normal approximation can be used. The calculator handles large values accurately regardless.