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Question

If A and B are two events such that

P(A)=12,P(B)=13 and P(AB)=14, then find

P(AB)

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Solution

P(AB)=P(AB)P(B)=1P(AB)1P(B)=1[P(A)+P(B)P(AB)]1P(B)=1[12+1314]113=1(5614)23=1142423=102423=3048=58


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