A system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that both function is 0.88. What is the probability that the system functions?

What will be an ideal response?


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

= 0.95 + 0.90 ? 0.88

= 0.97

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