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The accompanying tree diagram represents a two-stage experiment. (Let x = 0.45, y = 0.55, r = 0.65, s = 0.35, t = 0.4, and w = 0.6.)

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).

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