Components and are connected in parallel and this combination is connected in series…

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

Components

A

and

B

are connected in parallel and this combination is connected in series with component

C

. All three components work independently. The probabilities that

A

B

and

C

work are

0.9

0.8

and

0.95

respectively. If the system as a whole has failed, what is the probability that component

C

has failed? (a)

0.63

(b)

0.714

(c)

0.72

(d)

0.28