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Question

A and B are two independent events of an experiment .if P(not B)=0.65, P(AB)=0.85 ,find P(A).

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Solution

P(¯B)=0.65
P(¯B)=1P(B)=0.65
P(B)=0.35,P(AB)=0.85
now, P(AB)=P(A)+P(B)P(AB) since A,B are independent events.
0.85=P(A)+0.35P(A)(0.35)
0.50=0.65P(A)
P(A)=0.500.65=1013

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