Consider the following two events that involve rolling a pair of dice. Complete parts a) and b) below. Aequals Rolling a total of three Bequals Rolling a total of two a) Are these two events mutually exclusive? Why or why not? A. The events are not mutually exclusive. The event of rolling a total of three can occur at the same time as rolling a total of two during the experiment. B. The events are mutually exclusive. The event of rolling a total of three can occur at the same time as rolling a total of two during the experiment. C. The events are mutually exclusive. The event of rolling a total of three cannot occur at the same time as rolling a total of two during the experiment. D. The events are not mutually exclusive. The event of rolling a total of three cannot occur at the same time as rolling a total of two during the experiment. b) Are these two events independent? Why or why not? A. The events are dependent. If a total of three is rolled then the probability of both dice being a total of two equal zero. B. The events are independent. If a total of three is rolled then the probability of both dice being a total of two does not change. C. The events are dependent. If a total of three is rolled then the probability of both dice being a total of two does not change. D. The events are independent. If a total of three is rolled then the probability of both dice being