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?

Probability that the system functions = 0.94 .

Step-by-step explanation:

We are provided that a system contains two components A and B. The system will function only if both components function means system will not function if only one component functions.

Also, Probability that A functions, P(A) = 0.98

         Probability that B functions, P(A) = 0.95

         Probability that either A or B functions, P(A B) = 0.99

Now we have to calculate the Probability that the system functions which mean Probability that both system will function, P(A B);

   Since, P(A B) = P(A) + P(B) - P(A B)

                 0.99   = 0.98 + 0.95 - P(A B)

Therefore, Probability that the system functions, P(A B) = 0.94 .

step-by-step explanation:

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