Definition: You are given a question on high school statistics. You are also given 4 answer options (associated with "A", "B", "C", "D"), out of which only one is correct. You need to answer the question by selecting the correct option. You should only answer with the choice letter, not the whole answer.
Input: Which of the following statements about any two events A and B is true?
(A)P(A ∪ B) implies events A and B are independent. (B)P(A ∪ B) = 1 implies events A and B are mutually exclusive. (C)P(A ∩ B) = 0 implies events A and B are independent. (D)P(A ∩ B) = 0 implies events A and B are mutually exclusive.

D