An electronic assembly consists of two subsystems

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

9. 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 )=0.2P( B fails alone )=0.15P( A and B fail )=0.15\begin{aligned} \mathrm{P}(\mathrm{~A} \text { fails }) & =0.2 \\ \mathrm{P}(\mathrm{~B} \text { fails alone }) & =0.15 \\ \mathrm{P}(\mathrm{~A} \text { and } \mathrm{B} \text { fail }) & =0.15 \end{aligned} Evaluate the following probabilities (i) P (A failsIB has failed) (ii) P (A fails alone)

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