Final answer:
For two independent events, the occurrence of one does not affect the probability of the other. Thus, none of the options given (mutually exclusive, sum of probabilities equal to one, or intersection being zero) are correct for independent events.
Step-by-step explanation:
If two events are independent, the probability of one occurring has no effect on the probability of the other occurring. This means that for two independent events A and B: P(A AND B) = P(A)P(B). On the other hand, two events are mutually exclusive if they cannot occur at the same time, which means P(A AND B) = 0.
Therefore, the correct answer to the question of what is true if two events are independent is d. None of these alternatives is correct. Options a, b, and c describe other scenarios or properties of events related to probability, such as mutual exclusivity or the sum of their probabilities, but they do not define independence.
If two events are independent, it means that the occurrence of one event does not affect the probability of the other event happening. Therefore, the correct answer is d. None of these alternatives is correct.