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Question

If A and B are two independent events such that P (A ∪ B) = 0.60 and P (A) = 0.2, find P (B).

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Solution


PAB =P A + PB-PABPAB =P A + PB-P A×PB A and B are independent events0.6=0.2 +PB-0.2×PB0.6-0.2=PB1-0.2PB=0.6-0.21-0.2PB=0.40.8PB=12PB=0.5

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