Assertion (A): For independent events A and B, P(A|B) = P(A). Reason (R): Independence implies that knowledge of B does not change the probability of A.
A.A is true but R is false
B.A is false but R is true
C.Both A and R are true, but R is not the correct explanation of A
D.Both A and R are true, and R is the correct explanation of A
Explanation:
By definition, if A and B are independent, the conditional probability P(A|B) equals the unconditional probability P(A), as the occurrence of B provides no information about A.
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