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An electronic assembly consists of two s...

An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known:
P(A fails) = 0.2
P(B fails alone) = 0.15
P(A and B fail) = 0.15
Evaluate the following probabilities
(i) P(A fails|B has failed) (ii) P(A fails alone)

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The correct Answer is:
(i) 0.5 (ii) 0.05
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