basic

Bayes Theorem Posterior Update Calculator

P(H|E) = P(E|H)·P(H) / P(E) — posterior probability.

Applies Bayes' theorem to update a prior probability with new evidence, outputting the posterior probability and likelihood ratio.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P(H|E) = P(E|H)×P(H) / [P(E|H)×P(H) + P(E|¬H)×P(¬H)]

In depth

Applies Bayes' theorem to update a prior probability with new evidence, outputting the posterior probability and likelihood ratio.