SOLUTION: A system with tree components fails if one or more components fail. The probability that any given component will fail is 1/10. What is the probability that the system will fail?

Question 419808: A system with tree components fails if one or more components fail. The probability that any given component will fail is 1/10. What is the probability that the system will fail?
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!

I hope it is three components.
probability that no components fail i.e P(A) = 9/10 * 9/10 *9/10 = 729/1000
probability that at least one component fail i.e P'(A) = 1 -729/1000 = 271/1000

probability that system will fail = 271/1000

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