Mathematics

Problem

A system contains three independent components. Components

A

and

B

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

C

. The probabilities that

A

B

and

C

work are

0.7

0.8

and

0.9

respectively. What is the probability that the system works? a) 0.504 b) 0.940 c) 0.846 d) 0.154