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Question

If A and B are two independent events with P(A)=12,P(AB)=35 and P(B)=x, then find the value of x.

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Solution

Fact: If A and B are independent events, then P(AB)=P(A)P(B)
Now using P(AB)=P(A)+P(B)P(AB)
35=12+xP(A)P(B), substitute the given value
35=12+x12x
x2=3512=110
x=15

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