**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:**