---
title: "Binomial Distribution Calculator | Probability Distribution Tool | XTRAW Tools"
description: "Calculate exact and cumulative binomial probabilities. Use this free browser-based probability distribution calculator from XTRAW Tools."
url: "https://xtraw.com/tools/calculators/statistics-calculators/binomial-distribution-calculator"
date: "2026-07-06T06:08:28+00:00"
language: "en-GB"
---

[Z Score Calculator](https://xtraw.com/tools/calculators/statistics-calculators/z-score-calculator)[A/B Test Calculator](https://xtraw.com/tools/calculators/statistics-calculators/ab-test-calculator)

 [![Binomial Distribution Calculator from XTRAW Tools](https://xtraw.com/images/virtuemart/product/xtraw-binomial-distribution-calculator-360x360.jpg)](https://xtraw.com/images/virtuemart/product/xtraw-binomial-distribution-calculator-360x360.jpg "Binomial Distribution Calculator from XTRAW Tools")

  new

 [Back to: Statistics Calculators](https://xtraw.com/tools/calculators/statistics-calculators "Statistics Calculators")

# Binomial Distribution Calculator

 Calculate exact and cumulative binomial probabilities. Use this free browser-based binomial distribution calculator from XTRAW Tools.

 **Binomial Distribution Calculator** helps you calculate exact and cumulative binomial probabilities. Use this free browser-based calculator from XTRAW Tools to compare inputs, estimate results, and plan your next step.

## How to Use the Binomial Distribution Calculator

1. Enter the required calculator inputs shown in the form.
2. Review the probability, distribution, dataset, contingency table, correlation, regression, or diagnostic assumptions.
3. Run the calculator, then adjust one input at a time to compare scenarios or check your estimate.

## What This Calculator Helps With

Calculate exact and cumulative binomial probabilities. It is designed for students, teachers, researchers, analysts, gamers, probability learners, science users, and anyone working with statistics who want a fast, browser-based estimate before relying on a spreadsheet, textbook, analytics platform, research software, professional source, or specialist.

- Number of Trials (n): 10
- Number of Successes (k): 3
- Probability of Success (p): 0.3

## Common Uses

People use this calculator when they need a quick way to estimate probability, compare statistical assumptions, review distribution values, or check a statistics formula.

- **Math Solving:** Solve probability, statistics, distribution, regression, diagnostic, or classroom problems from entered values.
- **Measurement:** Measure sensitivity, specificity, predictive values, correlation, probabilities, distribution values, or model estimates.
- **Project Planning:** Plan research, surveys, lessons, experiments, dashboards, probability scenarios, or analysis workflows using transparent formulas.

## Formula or Method

P(X=k) = C(n,k) × pᵏ × (1−p)ⁿ⁻ᵏ

## Example

**Example inputs:** Number of Trials (n): 10; Number of Successes (k): 3; Probability of Success (p): 0.3

**Example result:** Using the default inputs, P(X = 3) is about 0.2668.

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## Binomial Distribution Calculator FAQ

### Is the Binomial Distribution Calculator free?

Yes. This calculator is free to use on XTRAW Tools.

### Do I need to create an account?

No. XTRAW tools are designed for browser-based use without requiring an account.

### Are the results exact?

Results may be estimates depending on the inputs, formula, rounding, statistical method, probability model, and purpose of the calculator. Always verify important results before relying on them.

**Disclaimer:** This calculator is provided for general informational, educational, and convenience purposes only. It is not legal, financial, medical, gambling, academic, research, statistical consulting, safety, or professional advice. Always verify important results with a qualified professional, instructor, statistician, researcher, authoritative source, or appropriate specialist before making decisions.

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