Question

suppose a person is selected at random from a large population. label the pair of events as mutually exclusive or not mutually exclusive.
the selected person is married, the selected person has red hair
choose the correct answer below
o a. the events are not mutually exclusive because if one event occurs the other event can also occur.
o b. the events are mutually exclusive because if one event occurs the probability of the second event occurring changes.
o c. the events are not mutually exclusive because if one event occurs the probability of the second event occurring changes.
o d. the events are mutually exclusive because if one event occurs the other event cannot occur

Explanation:

Mutually - exclusive events cannot happen at the same time. A person can be married and have red hair simultaneously. So, the two events “the selected person is married” and “the selected person has red hair” are not mutually exclusive.

Answer:

A. The events are not mutually exclusive because if one event occurs the other event can also occur.