Statistics calculator
Binomial Probability Calculator
Calculate exact and at-least binomial probability from trials, successes, and success probability.
Formula
Binomial probability
This assumes independent trials with the same success probability.
P(X = k) = nCk p^k (1 - p)^(n-k)
10 trials, 3 successes, and 40% success probability can be evaluated exactly.
FAQs
What does at least k mean?+
It sums probabilities from k successes through all successes.
Can trial count be large?+
The calculator caps inputs to keep factorial math practical.
How does the Binomial Probability Calculator calculate the result?+
It uses the Binomial probability: P(X = k) = nCk p^k (1 - p)^(n-k). 10 trials, 3 successes, and 40% success probability can be evaluated exactly.
What information do I need to use the Binomial Probability Calculator?+
Calculate exact and at-least binomial probability from trials, successes, and success probability.
How accurate is the Binomial Probability Calculator?+
Binomial Probability Calculator applies the formula and assumptions shown on this page. Results may be rounded for readability, so verify changing rates, thresholds, medical guidance, or legal rules with the cited source or a qualified professional.
What should I check before using the Binomial Probability Calculator result?+
Check that the units, dates, rates, and assumptions match your situation. Change one input at a time to understand which values have the largest effect on the result.
Statistics guide
How to use the Binomial Probability Calculator
Calculate exact and at-least binomial probability from trials, successes, and success probability. The page also explains the binomial probability and shows a practical example: 10 trials, 3 successes, and 40% success probability can be evaluated exactly.
- 1
Enter your details
Enter trials, successes, and success probability, then complete any other fields shown in the calculator.
- 2
Check the calculation
Review the result alongside the binomial probability: P(X = k) = nCk p^k (1 - p)^(n-k).
- 3
Compare scenarios
Change one or more inputs to see how they affect the binomial Probability Calculator result before you use the estimate.
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