A Narwhal's Guide to Bayes' Rule
Please read part 1 and part 2 before continuing with the final piece below. Or read the whole guide in this handy PDF.
Any mistakes are mine. However, there are fewer than there might be thanks to the efforts of Linda Patton, Christopher Svec, Elizabeth Brenner, Andrei Chichak, and Christopher White.
If you want to know more, take a look at my favorite Bayes visualization method and this great warehouse of explanation techniques.