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  1. An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and V 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
    1. 0.288
    2. 0.334
    3. 0.667
    4. 0.720
Correct Option: B


XY
Supply60%40%
Reliable96%72%
Overall0.5760.228


∴ P(X) =
0.288
= 0.334
0.576 + 0.288



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