This binomial distribution probability calculator finds exact, cumulative, tail, and range probabilities for a binomial experiment. It is based on the standard binomial probability formula and cumulative probability rules used in statistics. This tool is based on NIST binomial distribution overview: official reference.
What this calculator does
Enter the number of trials, the probability of success, and the number of successes or success range you want to test. The tool calculates the probability and shows a bar chart so you can see how the selected result fits into the full binomial distribution.
- Exactly k successes
- At most k successes
- Fewer than k successes
- At least k successes
- More than k successes
- Between two success counts
How to use it
- Choose the probability type you want to calculate.
- Enter the number of trials and the probability of success.
- Enter the success count or range.
- Click Calculate.
- Read the probability, percentage, chart, and explanation below.
What the result means
The result shows how likely it is to get the selected number of successes under a binomial model. The tool also shows the mean and standard deviation, which help describe the center and spread of the distribution.
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