Learn Baye's Theorem in 5.05 minutes.

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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

- $0.288$
- $0.334$
- $0.667$
- $0.720$

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@jatin khachane 1 finding reliable one from X and Y is nothing but total probability.

Given that what we found is reliable, what is the probability it is from Y => Baye's theorem. So yes it is based on Baye's theorem.

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