Final answer:
A and B are not mutually exclusive because their intersection contains elements; they are also dependent because the probability of their intersection does not equal the product of their individual probabilities.
Step-by-step explanation:
Since it is given that A and C are mutually exclusive, we understand that the sets A and C have no elements in common, which means P(A AND C) is equal to 0. In contrast, no information about the relationship between A and B regarding mutual exclusivity is provided, but we do know that the intersection A AND B is not empty as it contains {14, 16, 18}. This means A and B are not mutually exclusive because they share common elements.
When considering if A and B are independent, we look at whether the probability of their intersection equals the product of their individual probabilities. Since it is stated that P(A AND B) does not equal P(A)P(B), we conclude that sets A and B are dependent.
Therefore, the relationship between A and B is neither of them being subsets of the other, nor are they equal sets, nor do they have no common elements. Based on the provided information, A and B have common elements and are dependent sets. The specific relationship depends on additional information about the sets that is not provided in the question.