3-22. A fair single six-sided die is tossed. For the events A1 = {the face shows even}; A2 = {the face shows odd}; A3 = {3 or 4 shows}; A4 = {at least a 3 shows}; A5 = {5 or 6 shows}; and A6 = {at most a 4 shows}, determine which events are mutually exclusive, collectively exhaustive, and simultaneously mutually exclusive and collectively exhaustive.