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.



  • Bayes' rule

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