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Question

Let A and B be two events such that P(AB)3/4 and 1/8P(AB)3/8.
Statement 1: P(A)+P(B)7/8
statement 2: P(A)+P(B)11/8

A
Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1.
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B
Both the statements are TRUE and STATEMENT 2 is not the correct explanation of STATEMENT 1.
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C
STATEMENT 1 is TRUE and STATEMENT 2 is FALSE.
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D
STATEMENT 1 is FALSE and STATEMENT 2 is TRUE.
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Solution

The correct option is B Both the statements are TRUE and STATEMENT 2 is not the correct explanation of STATEMENT 1.
P(AB)=P(A)+P(B)P(AB)34P(AB)134P(A)+P(B)P(AB)134+P(AB)P(A)+P(B)1+P(AB)34+18P(A)+P(B)1+3878P(A)+P(B)118
both the statements are correct but statement 1 is not the correct explanation of statement 2

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