An automobile plant contracted to buy shock absorbers from two suppliers X and Y, X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X's shock absorbers, 96% are reliable Of Y's shock absorbers, 72% are reliable.
The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
(a) 0.288 (b) 0.334
(c) 0.667 (d) 0.720