Final answer:
As per the values A and B are dependent, so B. they cannot be independent.
Step-by-step explanation:
Event a occurs with probability = 0.2
Event b occurs with probability = 0.9.
A and B are not disjoint because they can occur at the same time. Therefore, option D is incorrect. A and B cannot be independent because if they were, the probability of A would be the same as the probability of A and B occurring together.
However, since P(A) = 0.2 and P(A and B) = 0.15, we can see that A and B are dependent.
Hence, option B is correct.