Binomial Probability Calculator
The probability of exactly k successes in n independent trials.
Result
Probability
0.117188
Probability (%)
11.7188
How it works
P = C(n,k) · pᵏ · (1−p)ⁿ⁻ᵏ
The binomial distribution gives the chance of exactly k successes in n independent yes/no trials, each with the same probability p.
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Frequently asked questions
When is it binomial?
When trials are independent, fixed in number, and each has the same two outcomes with constant probability.
What is p?
The probability of success on a single trial — for a fair coin, 0.5.
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