About this tool: Binomial Probability
Calculate exact and cumulative binomial probabilities for independent trials with a constant success probability.
n is the number of independent trials, p is the success probability from 0 to 1, and k is a success count from 0 to n. The result includes P(X=k), P(X≤k), P(X≥k), the mean and variance. The chart samples the probability masses around the mean and chosen k; all probabilities use the complete distribution.
How the calculation works
Worked example
| n | 10 |
| p | 0.5 |
| k | 5 |
P(X=5) = 0.24609375; P(X≤5) = 0.623046875
Questions and answers
What does this tool do?
Calculate exact and cumulative binomial probabilities for independent trials with a constant success probability. n is the number of independent trials, p is the success probability from 0 to 1, and k is a success count from 0 to n. The result includes P(X=k), P(X≤k), P(X≥k), the mean and variance. The chart samples the probability masses around the mean and chosen k; all probabilities use the complete distribution.
What affects precision and input format?
n is the number of independent trials, p is the success probability from 0 to 1, and k is a success count from 0 to n.
Where are the calculations performed?
The calculation runs in your browser. You can use the tool without installing software.
Asted Cloud
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