Final answer:
The question involves identifying closed operations for a given set, where closed sets for union and intersection show that when these operations are applied the results still belong to the original set.
Step-by-step explanation:
The question pertains to the concept of closed sets in mathematics, particularly in the context of operations such as union (OR) and intersection (AND). The details provided outline that set A AND B is closed under intersection because it results in a new set that contains all outcomes that lie in both sets A and B. Similarly, the set A OR B is closed under union because it includes all outcomes from either set. If a set is 'closed' under an operation, it means that applying that operation to elements within the set produces an outcome that is also within the set.