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Question

If A,B are two events such that P(AB)34 and 18P(AB)38, then
  1. P(A)+P(B)118
  2. P(A)P(B)38
  3. P(A)+P(B)78
  4. none of these


Solution

The correct options are
A P(A)+P(B)118
C P(A)+P(B)78
We know that 
P(AB)=P(A)+P(B)P(AB)
P(A)+P(B)=P(AB)+P(AB)
We know that 
1P(AB)34 and 38P(AB)18
Addding both we get 
78P(AB)+P(AB)118
So,
118P(A)+P(B)78
 

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