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If A and B are events such that P(A) = 0.5 and P(AUB) = 0.9, find P(B) when (a) A and B are mutually exclusive;

If A and B are events such that P(A) = 0.5 and P(AUB) = 0.9, find P(B) when (a) A and B are mutually exclusive; (b) A and B are independent

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