Statistics & Probability
Binomial Probability
P(X = k) for n trials with success prob p.
Formula
Formula
C(n,k) pk (1−p)n−k
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| n | trials | integer (ℤ) | — | input |
| k | successes | integer (ℤ) | — | input |
| p | success probability | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Giventrials n = 10, successes k = 3, prob p = 0.5
Result0.1171875
Example 2
Giventrials n = 20, successes k = 5, prob p = 0.25
Result0.2023311519