Problem 17E

A system contains two components, A and B. The system will function only if both components function. The probability that A functions is 0.98, the probability that B functions is 0.95, and the probability that either A or B functions is 0.99. What is the probability that the system functions?

Step 1 of 2:

It is given that A and B are the two components of a system. The system works only if the two components work.

The probability that the component A works is 0.98,that is P(A)=0.98.Probability that component B works is 0.95,that is P(B)=0.95.

Probability that either component A or component B works is 0.99,that is P(AB)=0.99.