Consider the following system:

Question

-> 0.73 -> 0.73 ->

Determine the probability that the system will operate under each of these conditions:

(Round your final answers to 4 decimal places, not your intermediate calculations.)

a.) The system as shown

b.) Each system component has a backup with a probability of .73 and a switch that is 100% percent reliable.

c.) Backups with .73 probability and a switch that is .98 percent reliable.

My answers:
a.) 0.5329
b.) 0.8595
c.) 0.8542

Concern & Question:

Problem C.) ~ I calculated this problem by
1-.73= .27
1-.73= .27
1-.98= .02

.27*.27*.02= .001458
1-.001458= .8542

Did I calculate this problem (C.) correctly?
If not, how do I calculate this problem?
(Step by step, please...) and what should be the answer?

Thank you so much for your help!