Determine whether the events are mutually exclusive.
-A study of consumer smoking habits includes 169 people in the 18-22 age bracket (46 of whom smoke), 126 people in the 23-30 age bracket (38 of whom smoke), and 100 people in the 31-40 age bracket (22 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 23-30 or smokes.
A)0.302
B)0.587
C)0.096
D)0.491

Question

Quizplus · Accepted Answer

The events are not mutually exclusive because a person can be both in the 23-30 age bracket and a smoker. The probability is calculated by adding the probability of being 23-30 and the probability of smoking, then subtracting the probability of both.

Determine Whether the Events Are Mutually Exclusive