Q 64. 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
Answer: (B )
Explanation: