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?

What will be an ideal response?


P(A ? B)=P(A) + P(B) ? P(A B)

=0.98 + 0.95 ? 0.99

=0.94

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