Question: A system can fail (event C) because of two possible causes (events A and B). The probabilities of A, B and A B are

A system can fail (event C) because of two possible causes (events A and B). The probabilities of A, B and A ∩ B are known, together with the probabilities of failure given A, given B and given A ∩ B. Express the following in terms of these known quantities:

(a) P(AUB) (c) P(CA U B) (b) P(CAN B)

(a) P(AUB) (c) P(C| AUB) (b) P(CAN B)

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