Seriously, though, there's one nomogram you (yes you) should know about and have it well-enough engraved in your mind's eye that you can use it with eyes closed. A nomogram for Bayes' theorem: https://www.ovid.com/journals/nejm/abstract/10.1056/nejm1975...
That is cool, although it took me awhile to understand it because the posterior probability is on the left and the prior probability is on the right, and because it uses D=Disease and T=Test when I am used to seeing D=Data.
If you like things like this I can recommend you check out the Chris Staecker youtube channel. He covers all sorts of tools people used to use to do math before computers and calculators, and there are a lot of them. Some of the things people came up with to do what today would be considered relatively simple math are pretty clever, pretty complex, or both.
[1]: https://entropicthoughts.com/bayes-rule-odds-form
[2]: https://entropicthoughts.com/sensitivity-counts-against-you
IMHO this is so much nicer than e.g. decisions tree visualizations (which everyone quotes for the most explainable AI models).
https://www.youtube.com/@ChrisStaecker