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Question

If A and B are two events such that P(AB)34 and 18P(AB)38 then:

A
P(A)+P(B)118
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B
P(A).P(B)38
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C
P(A)+P(B)78
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D
P(A)+P(B)98
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Solution

The correct option is C P(A)+P(B)78
P(AB)34 and 18P(AB)38

P(A)+P(B)P(AB)34P(A)+P(B)[34+P(AB)](34+18)=78(i)

Also P(AB)1P(A)+P(B)1+P(AB)(1+38)=118(ii)

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