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)

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

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)

CBSE | Class 12 | Maths | NCERT | Probability

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)

Solution:

(i) Take, for example, the event that is failed by $A$ , which is symbolised by the symbol $E A$ .