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1. Suppose an atomic reactor has two independent cooling systems. The probability cooling system A will fail is 0.01 and the probablity that cooling

1. Suppose an atomic reactor has two independent cooling systems. The probability cooling system A will fail is 0.01 and the probablity that cooling system B will fail is 0.01. If system B is known to have failed, compute the probability that system A will fail- PIAB).

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