Binomial probability
Find the probability of exactly k successes.
How this works
P(X=k) = C(n,k)pᵏ(1−p)ⁿ⁻ᵏ; trials must be independent with constant p.
Example
Using the example inputs, probability is 0.1171875.
- Independent trials
- 10
- Successes
- 3
- Success probability (0–1)
- 0.5
- Probability
- 0.1171875
Scope and assumptions
Extremely small probabilities may underflow to zero.
NIST statistical methods handbook