APPLIED MATHEMATICIAN

I often see Bayes' Theorem presented in a satisfactory yet less-than-helpful manner. Even Wikipedia has an inelegant solution... First, Bayes' Theorem simply says that the probability of A intersect B, written P(AB), equals the probability of A given B times the probability of B, written P(A|B) * P(B), and equals the probability of B given A times the probability of A, written P(B|A) *P(A)... Even more useful is P(A|B) = P(AB) / P(B), which we'll use with the 2 x 2 chart below. First notice that the Wikipedia solution uses 6 (typically inexact) floats in its next to last line.