bayes-theorem-posterior-formula

IN premisesummaries/2026/08/24/wiki-Bayesian_inference.md

Created 2026-08-25T02:58:45+00:00

Bayes' theorem states P(H|E) = P(E|H)·P(H) / P(E), where the posterior is proportional to likelihood times prior.

Summary

This is the mathematical rule the system uses to revise its confidence in a hypothesis whenever new evidence arrives, blending prior expectations with how well the data fits the hypothesis. It serves as the foundational engine for all probabilistic reasoning in the system.