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Question

If P (not B) = 0.65, P (A ∪ B) = 0.85, and A and B are independent events, then find P (A).

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Solution

PB¯=0.651-PB=0.65PB=1-0.65=0.35Now,PAB=PA+PB-PABPAB=PA+PB-PA×PB0.85=PA+0.35-0.35×PA0.85-0.35=PA1-0.35PA=0.50.65=0.77

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