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A city is supplied by three water pipelines, P1, P2, and P3. Pipeline Plfails with probability 0.1 independently of P2 and P3. Due to their

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A city is supplied by three water pipelines, P1, P2, and P3. Pipeline Plfails with probability 0.1 independently of P2 and P3. Due to their close proximity, however, P3 fails with probability 0.2 whenever P2 has failed. And the probability that P2 fails is 0.3. Compute the probability that all the pipelines fail

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