Question

jeanne earned her college degree several years ago. consider the following four events. her alma mater is in the south. her alma mater is a public college. her alma mater is in the southeast. her alma mater is in the north. are these events all mutually exclusive of one another? a. these events are not mutually exclusive of one another because there are possible outcomes in common. for example, her alma mater is in the south and north. b. these events are all mutually exclusive of one another because there are possible outcomes in common. for example, her alma mater is in the south and southeast. c. these events are all mutually exclusive of one another because there are no possible outcomes in common. d. these events are not mutually exclusive of one another because there are possible outcomes in common. for example, her alma mater is in the south and a public college.

Explanation:

Step1: Recall definition of mutually - exclusive events

Mutually - exclusive events cannot occur at the same time, i.e., they have no common outcomes.

Step2: Analyze the given events

The event "Her alma mater is in the South" and "Her alma mater is in the Southeast" have a common outcome since the Southeast is a part of the South. Also, the event "Her alma mater is a public college" is not related to the location events in a mutually - exclusive way. And a college can't be in the South and the North simultaneously, but the fact that there are common outcomes between other pairs (like South and Southeast) makes them non - mutually exclusive.

Answer:

D. These events are not mutually exclusive of one another because there are possible outcomes in common. For example, her alma mater is in the South and a public college.