The accompanying tree diagram represents a two-stage experiment. (Let x = 0.45, y = 0.55, r = 0.45, s = 0.55, t = 0.45, and w = 0.55.)
Use the diagram to find the following probabilities. (Round your answers to three decimal places.)
(a) Find P(A) · P(D | A).
(b) Find P(B) · P(D | B).
(c) Find P(A | D).