JEE MATHEMATICS MCQ: PROBABILITY

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Let

X

and

Y

are two events such that

P(X \cup Y)=P(X \cap Y)

.
Statement 1:

P\left(X \cap Y^{\prime}\right)=P\left(X^{\prime} \cap Y\right)=0

Statement 2:

P(X)+P(Y)=2 P(X \cap Y)

View answer and explanation

Correct option: B

Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1 .

Option B (Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1) is correct because both statements are true, but Statement 2 doesn't directly explain Statement 1.

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