Can two events be mutually exclusive and independent simultaneously? a. yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities add up to one. b. no, two events with nonzero probabilities cannot be independent and mutually exclusive because independence is the complement of being mutually exclusive. c. no, two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually exclusive, then when one of them occurs, the probability of the other must be zero. d. yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities are equal.