Answer: The correct option is (B) P(A | B) = P(A)
Step-by-step explanation: Given that A and B are independent events.
We are to select the TRUE statement from the given options.
We know that
if two events A and B are independent events, then the probability of the intersection of A and B is equal to the product of the probabilities of the events A and B.
That is,
\(P(A\cap B)=P(A)\times P(B).\)
Now, the conditional probability of event A given that event B has already occured is given by
\(P(A/B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{P(A) \times P(B)}{P(B)}=P(A).\)
Thus, the correct statement is P(A | B) = P(A).
Option (B) is CORRECT.
