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Study the Assertion and Reason and choose the correct option.
Consider the two events A and B such that n(A) = n(B) and P(A/B) = P(B/A).
Assertion: Consider the two events $A$ and $B$ such that $n(A) = n(B)$ and $P(A/B) = P(B/A)$.
Reason: The events $A$ and $B$ are mutually exclusive.
- (a)Both Assertion and Reason are true and Reason is the correct explanation for Assertion.
- (b)Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.
- (c)Assertion is true and Reason is false.
- (d)Assertion is false and Reason is true.
Answer
Answer
Correct option: (c)
Answer: (c) Assertion is true and Reason is false.
$P(A/B)=P(B/A)$ gives $P(A)=P(B)$ or $P(A\cap B)=0$; the conditions can hold without the events being mutually exclusive (e.g. $A=B$), so the Reason is false.