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

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

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