Final answer:
If an attribute type B is functionally dependent on an attribute type A (A -> B), it means that the value of attribute B can be determined by the value of attribute A. In other words,
Step-by-step explanation:
In the context of mathematics, if an attribute type B is functionally dependent on an attribute type A (A -> B), it means that the value of attribute B can be determined by the value of attribute A. In other words, knowing the value of A allows us to uniquely determine the value of B.
For example, let's consider a database table with attributes 'name' and 'age'. If 'name' is the primary key and 'age' is functionally dependent on 'name', then for every unique value of 'name', there is a unique value of 'age' associated with it.
In the information provided, you can see that since P(A AND B) does not equal P(A)P(B), A and B are indeed dependent. Using this information, we can also infer scenarios of whether A and B are mutually exclusive (they cannot both occur at the same time), and how to calculate conditional probabilities, such as P(A|B) if they are not mutually exclusive.