A system consists of four components connected as shown in the following diagram:

Assume A, B, C and D function independently. If the probabilities that A, B, C, and D fail are 0.10, 0.05, 0.10, and 0.20, respectively, what is the probability that the system functions?

Step 1 of 2:

It is given that a system consists of four components A,B,C and D in which A and B are in parallel connection and C and D are in series.

These components are assumed to be function independently.

Also it is given that P(A fails)=0.10,P(B fails)=0.05,P(C fails)=0.10,P(D fails)=0.20.

We have to find the probability that the system functions.