Two independent components and are connected in parallel

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

Problem

Two independent components

C_1

and

C_2

are connected in parallel, and this parallel combination is connected in series with a third independent component

C_3

. The probabilities that

C_1,\;C_2

and

C_3

work are

0.9,\;0.8

and

0.95

respectively. Find the probability that the whole system works. (a)

0.950

(b)

0.808

(c)

0.931

(d)

0.684