If two events 'A' and 'B' are independent, then which of the following expressions on probabilities are correct? (A) P(A|B) = P(A) (B) P(A|B) = P(A) / P(B) (C) P(B|A) = P(B) (D) P(B|A) = P(B) / P(A)
Choose the correct answer from the options given below:

Correct option is A

Explanation:
Two events A and B are said to be independent if the occurrence of one does not affect the probability of the other. This leads to:
· P(A|B) = P(A)
· P(B|A) = P(B)
This is the defining property of independence. It means the conditional probability equals the original probability.
Information Booster:

Additional Information:
· (B) is incorrect: P(A|B) = P(A)/P(B) is not a general or correct expression for conditional probability under independence.
· (D) is incorrect: P(B|A) = P(B)/P(A) is not valid under independence. It misrepresents the formula.