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Question

A and B are events such that P(A)=0.3,P(AB)=0.8. If A and B are independent then P(B)=

A
17
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B
37
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C
57
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D
67
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Solution

The correct option is C 57
Since A and B are independent events, we have P(AB)=P(A).P(B)We know P(AB)=P(A)+P(B)P(A)P(B)Substituting the values,we get 0.8=0.3+P(B)(10.3)0.5=P(B)(0.7)P(B)=57

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