If A and B are two independent events, then which of the following is/are true?

(A) $P(A∩B) = 0$
(B) $P(A∪B) = 1-P(A') P(B')$
(C) $P(A∪B) = P(A) P(B)$
(D) $P(A∩B) = P(A) P(B)$

Choose the correct answer from the options given below:

(B) and (D) only

The correct answer is Option (1) → (B) and (D) only **

Given: A and B are independent events.

(A) $P(A \cap B)=0$ False — independence does NOT imply probability of intersection is zero.

(B) $P(A \cup B) = 1 - P(A')P(B')$ True — for independent events, $P(A' \cap B') = P(A')P(B')$ and $P(A \cup B)=1-P(A' \cap B')$.

(C) $P(A \cup B)=P(A)P(B)$ False — this is the probability of intersection, not union.

(D) $P(A \cap B)=P(A)P(B)$ True — definition of independence.

Correct statements: (B) and (D).