# two events are mutually exclusive if . a. the probability of their intersection is .5 b. the probability of their intersection is 1 and they have no sample points in common c. the probability of their intersection is 1 d. they have no sample points in common

In order to determine whether two events are mutually exclusive, we must first examine whether their intersection has a probability of 0 and whether they share any sample points. Option D is the correct answer in this case, as the two events in question are mutually exclusive due to having no sample points in common. This means that the probability of event A and event B occurring simultaneously is zero, as their intersection set is empty. To provide an example, imagine set A consisting of odd numbers and set B consisting of even numbers, such as A = {1,3,5,7,9} and B = {0,2,4,6,8}. As the intersection of A and B is empty (A ∩ B = {}), these two sets are mutually exclusive. If you wish to learn more about mutually exclusive sets, please feel free to read about it on Brainly.com by following this link: brainly.com/question/15292051 #SPJ4.