In a manufacturing plant, machine A produces 20% of a certain product, machine B produces 50% of this product, and machine C produces 30% of this product. Four percent of machine A products are defective, 11% of machine B products are defective, and 9% of machine C products are defective. The company inspector has just sampled a product from this plant and has found it to be defective. Determine the revised probabilities that the sampled product was produced by machine A, machine B, or machine C.
(Note: A = product produced on Machine A, B = product produces on Machine B, C = product produced on Machine C, D = defective product)
Round your answer to 4 decimal places, the tolerance is +/-0.0001.