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