Question

In parts (a) and (b), identify whether the events are mutually exclusive, independent, or neither (events cannot be both mutually exclusive and independent).

Answer 1

Disjoint events: Two events are said to be disjoint if they do not have any element in common. Independent events: Two events are said to be independent if the happening of one event does not effect the happening of the other event. A) You and a randomly selected student from your class both earn A's in this course: Here, the grade obtained by you and the grade obtained by the other student selected randomly is independent. Therefore, it is an Independent event You and your class partner both earns A's in this course From the situation, it is not disjoint since they have the common thing earning A grade and it is not independent as well because there is nothing mentioned about independency. Therefore, it is neither independent nor disjoint. If two events can occur at the same time, they must be independent Yes, it is true. For example, the result of tossing of one coin does not depend on the result of tossing of another coin when we toss two coins at the same time. Therefore, the correct option is True.