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प्रश्न
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.
पर्याय
Both Assertion and Reason are true and Reason is the correct explanation for Assertion.
Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.
Assertion is true and Reason is false.
Assertion is false and Reasons true.
MCQ
विधान आणि तर्क
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उत्तर
Assertion is true and Reason is false.
Explanation:
Given, n(A) = n(B)
`P(A/B) = (n(A ∩ B))/(n(B))`
And `P(B/A) = (n(A ∩ B))/(n(A))`
= `(n(A ∩ B))/(n(B))`
`P(A/B) = P(B/A)` ...[∵ n(A) = n(B)]
So, Assertion is true.
Mutually exclusive events have no intersection, making the conditional probability zero.
So, Reason is false.
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