Given below are two statements. One is labelled as Assertion and the other is labelled as…
Mathematics · JEE Main · NTA Exams — Statistics and Probability
Given below are two statements. One is labelled as Assertion and the other is labelled as Reason.
STATEMENT - 1 (Assertion): If A and B are exhaustive set of events and \(P(B)=1\), then A and B are independent.
STATEMENT - 2 (Reason): If \(P(A \cap B)=P(A) \cdot P(B)\), then A and B are independent.
In the light of the above statements, choose the correct answer from the options given below:
- Both Assertion and Reason are true and Reason is the correct explanation of Assertion
- Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
- Assertion is true and Reason is false
- Assertion is false and Reason is true
Answer
(D) Assertion is false and Reason is true
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