Final answer:
Yes, it is possible for events A and B to be independent yet satisfy A = B.
Step-by-step explanation:
The events A and B can be independent yet satisfy A = B. In order to determine if two events are independent, we look at the probability of their intersection (A and B). If the probability of A and B occurring together (P(A and B)) is equal to the product of the probabilities of A and B occurring separately (P(A)P(B)), then the events are independent.
However, in this case, if A = B, then P(A and B) represents the probability of the event A occurring. If P(A and B) = P(A), then event A is independent of itself, which is always true.
Therefore, the answer to the question is Yes, it is possible for events A and B to be independent yet satisfy A = B.