Bayes' Theorem Calculator

Bayes' Theorem Calculator finds posterior probability from prior probability, likelihood, and evidence with complete steps.

852.2K usesUpdated · 2026-04-29Runs locally · zero upload

How to Use Bayes' Theorem Calculator

The Bayes' Theorem Calculator computes posterior probability from a prior, a likelihood, and evidence probability. Enter P(A), P(B|A), and P(B). The Bayes' Theorem Calculator accepts decimals or percentage-style values and converts them into a consistent probability calculation.

Formula & Theory — Bayes' Theorem Calculator

The Bayes' Theorem Calculator uses Bayes' theorem:

P(A|B) = [P(B|A) x P(A)] / P(B)

The formula updates belief in A after observing B. P(A) is the prior, P(B|A) is the likelihood, and P(B) is the evidence. The Bayes' Theorem Calculator displays both decimal and percent results.

Use Cases for Bayes' Theorem Calculator

Use the Bayes' Theorem Calculator for statistics, medical testing examples, risk analysis, Bayesian reasoning, machine learning introductions, and decision support. It is best for transparent single-step posterior probability problems.

Frequently asked questions about Bayes' Theorem Calculator

What inputs does Bayes' Theorem Calculator need?

It needs P(A), P(B|A), and P(B). P(B) must be greater than 0.

Can I enter percentages in Bayes' Theorem Calculator?

Yes. You may enter 1 for 1 percent or 0.01 as a decimal probability.

Is my data stored?

No. All calculations happen in your browser; nothing is sent to a server.