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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 probabilit

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Let the events that A and B fails are represented by A' and B' respectively.
`P(A')=0.2,P(A'nnB')=0.15`
`:' P` (B fails alone)`=P(B')-P(A'nnB')`
`implies 0.15=P(B')-0.15impliesP(B')=0.30`
(i) `P` (A fails /B fails)
`=P(A'//B')=(P(A'nnB'))/(P(B'))=0.15/0.30=0.5`
(ii) `P` (A fails alone)
`=P(A')-P(A'nnB')=0.2-0.15=0.05`
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