At my college, there's a week before Spring Semester each year in which anyone who wants to can teach a class on any subject, and students go to whatever ones they feel like. I'm thinking about teaching a class on Bayes' Theorem. It would be informal, one to two hours long, and focused mostly on non-obvious applications of it (epistemology, the representativeness heuristic, etc.)
At the moment, I'm thinking about how to design the class, so I'd appreciate any suggestions as to what content I should cover, the best format, clear ways to explain it, cool things related to Bayes' Theorem, good links, and so forth.
If you want people to sign up for your class, don't call it Bayes Theorem, or anything equally boring (not many people can even pronounce "representativeness heuristic" on the first try).
Maybe something along the lines of "One fraction to rule them all" or "When a 99% positive test is only accurate 1% of the time" or something similarly catchy.
I think 'Bayes' Theorem' (but perhaps not Bayes's Theorem) is catchier than the latter two suggestions. Also clearer.