# Bayes' rule examples

This page and its tabs store exemplar problems for Bayes’ rule. You can suggest additional example problems by leaving a comment on the appropriate tab.

Problem types by tab:

Introductory. Meant as a small set of problems for people who haven’t heard of Bayes’ rule before, with examples that will be discussed in the introductory pages for Bayes’ rule.

Homework. Problems for people who already know Bayes’ rule and want to test their grasp of it in straightforward ways.

Clever. Problems for people who wish to be mathematically entertained, or that exhibit some surprising facet or gotcha of Bayes’ rule.

Realistic. Instances of Bayesian reasoning that have arisen in real life.

Children:

- Realistic (Math 1)
Real-life examples of Bayesian reasoning

- Introductory Bayesian problems
Bayesian problems to try to solve yourself, before beginning to learn about Bayes’ rule.

Parents:

- Bayes' rule
Bayes’ rule is the core theorem of probability theory saying how to revise our beliefs when we make a new observation.