Probability & Combinatorics Calculator — Free Online Tool
Four calculation modes: basic probability (favorable/total outcomes), combinations C(n,r) for selection without order, permutations P(n,r) for ordered arrangements, and binomial distribution probability P(X=k). Each result shows the formula and plain-English interpretation.
100% client-side. No uploads. Your data never leaves your browser.
How to use Probability & Combinatorics Calculator
- Select a mode: Probability, Combinations, Permutations, or Binomial.
- Enter the required values.
- See the result with the formula and interpretation instantly.
- Use presets for common scenarios.
Frequently Asked Questions
What is the difference between combinations and permutations?
Combinations count selections where order doesn't matter (choosing a committee). Permutations count arrangements where order matters (arranging runners on a podium).
What is binomial distribution?
The probability of getting exactly k successes in n independent trials, each with probability p. Example: flipping a coin 10 times and getting exactly 6 heads.
What is the maximum input size?
Factorial calculations up to n=170. Beyond that, numbers exceed JavaScript's Number.MAX_VALUE.
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