What is the Binomial Probability Calculator?

The Binomial Probability Calculator is a statistical tool that helps users compute the probability of observing a certain number of successes in a fixed number of trials, given a known probability of success. By entering the number of trials, number of successes, and success probability, the calculator can compute exact binomial probability as well as cumulative probabilities. It also provides useful statistics such as the mean and standard deviation of the distribution. This tool is ideal for students, researchers, and analysts who need accurate probability calculations without performing complex formulas manually.

How to Use:

1. Enter Number of Trials (n): Provide the total number of independent trials.
2. Enter Number of Successes (k): Enter the count of successful outcomes you want to evaluate.
3. Enter Probability of Success (p): Input the likelihood of success for each trial.
4. Select Probability Type: Choose exact probability, cumulative less-than-or-equal, or cumulative greater-than-or-equal.
5. Click “Calculate”: The tool instantly computes the probability along with the mean and standard deviation.
6. Review Result: The output shows the probability value clearly so you can interpret the binomial distribution with ease.