Assertion :If $P (A / B) > P (A)$ then. $P (B / A) > P (B)$ . Reason: If events A & B are dependent, then $P (A / B) = \frac{P (A \cap B)}{P (B)}$ .

Both Assertion & Reason are individually true & Reason is correct explanation of Assertion

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Both Assertion & Reason are individually true but Reason is not the ,correct (proper) explanation of Assertion

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Assertion is true but Reason is false

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Assertion is false but Reason is true

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Solution

The correct option is A Both Assertion & Reason are individually true & Reason is correct explanation of Assertion
$P (A / B) = \frac{P (A \cap B)}{P (B)}$ .....( i )
Now $P (A / B) > P (A)$
$\Rightarrow \frac{P (A \cap B)}{P (B)} > P (A) \Rightarrow \frac{P (A \cap B)}{P (A)} > P (B)$
$\Rightarrow P (B / A) > P (B)$
Hence Assertion is followed by Reason.

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Assertion :If P(A/B)>P(A) then. P(B/A)>P(B). Reason: If events A & B are dependent, then P(A/B)=P(A∩B)P(B).

The correct option is A Both Assertion & Reason are individually true & Reason is correct explanation of AssertionP(A/B)=P(A∩B)P(B).....( i )Now P(A/B)>P(A)⇒P(A∩B)P(B)>P(A)⇒P(A∩B)P(A)>P(B)⇒P(B/A)>P(B)Hence Assertion is followed by Reason.

Assertion :If $P (A / B) > P (A)$ then. $P (B / A) > P (B)$ . Reason: If events A & B are dependent, then $P (A / B) = \frac{P (A \cap B)}{P (B)}$ .