14) An electrical system consists of four components as illustrated in the Figure.

0.65

0.7

0.9

D

0.93

The system works if components A and B work and either of the components C or D works.

The reliability (probability of working) of each component is also shown in the Figure below.

Find the probability that

Athe entire system works

Bthe component C does not work, given that the entire system works. Assume that the four components work independently.