Probability that the components of machine will fail

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A machine has three components working independently. The probability that Component A fails is 0.1, the probability that component B fails is 0.2, and the probability that component C fails is 0.3.

(A) What is the probability that none of the components will fail ???

(B) What is the probability that at least one component will fail ???

(C) What is the probability that only one component will fail ? That is, what is the probability that one component will fail, but the other two will not fail ?? PLS show all work.

Reference no: EM1394970

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