In a manufacturing plant machine A produces 10% of a certain product machine B produces 30% of this product and machine C produces 60% of this product .Six percent of machine. A products are defective, 12% 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.