Hoooly crap. I just had my one-and-only math class of my college career last semester, and we did a lot with Bayes' theorem, so I kiiinda got what was going on, but oh man, I never want to have to work out that formula ever again. Thanks for doing all that work, though! Definitely cool.
I do have one stupid question, though: On the Petersons site, where are you guys finding the acceptance rates? Am I just dumb? I searched for specific schools and programs, and it just told me the application requirements and stuff.