A coin is tossed three times. (a) List the possible outcomes. Assuming that all events are equally likely, if A is the event that a Tail occurs on each of the first two tosses, B is the event that a Tail occurs on the third toss, and C is the event that exactly two Heads occur in the three tosses, prove or disprove that (b) events A and B are independent, (c) events B and C, and are independent, and (d) events A and C are independent.