For events A, B express P(A|B) in terms of the following three probabilities: P(A), P(B), and P(A B|A B). Equivalently, let P(A) = a, P(B) = b, P(A B|A B) = c, (1) and find an expression for P(A|B) in terms of a, b, c. Hint: first find an expression for P(A B) by using the Total Probability Theorem (TPT), conditioned on A B, and using P(A B) = P(A) + P(B) P(A B).