# Binomial Probability Calculator

> Calculate binomial probability for n trials, k successes, and per-trial probability p. Supports exact, at-most, and at-least modes.

**URL:** https://www.calculatoranswers.com/binomial-probability-calculator
**Category:** Education

## Quick Answer

Calculate binomial distribution probabilities for independent events. Enter trials, success rates, and successes to find exact and cumulative probabilities.

## Definition

A binomial probability calculator is a statistical tool that computes the probability of achieving a specific number of successes in a fixed number of independent trials. It uses the binomial distribution formula, which factors in the number of trials, the probability of success in a single trial, and the target number of successes. The calculator outputs the exact probability, cumulative probabilities (such as at least or at most), and the expected mean and variance. Analysts and researchers use this tool to model binary outcomes, such as coin tosses or quality control checks.

## How to Use

1. **Enter trials count** — Type the total number of independent trials in the first input box.
2. **Input success probability** — Enter the probability of success on a single trial as a decimal or percentage.
3. **Specify success count** — Type the target number of successes you want to evaluate.
4. **Read the probabilities** — View the exact probability alongside the cumulative at-least and at-most probabilities.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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