A study of consumer smoking habits includes 196 people in the 18-22 age bracket (43 of whom smoke), 148 people in the 23-30 age bracket (37 of whom smoke), and 96 people in the 31-40 age bracket (23 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.

Question

Mathematics

Irwin

6 September, 06:11

A study of consumer smoking habits includes 196 people in the 18-22 age bracket (43 of whom smoke), 148 people in the 23-30 age bracket (37 of whom smoke), and 96 people in the 31-40 age bracket (23 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.

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Answers (1)

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Kadin Hamilton · Answer 1

Answer: 251/440

Step-by-step explanation:

First let us get the total number of people in all age bracket

18-22years = 196people

23-30 = 148peoples

31-40 = 96peoples

Total number of peoples = 196+148+96 = 440peoples

Probability of getting someone who us aged 23-30 is number of people in that age bracket / total number of peoples = 148/440 = 37/110

Similarly, probability of getting someone who smokes will be

Total number of people who smokes in all the age bracket/total number of people

Total number of those who smokes = 43+37+23 = 103

Total number of people = 440

Probability of getting someone who smoke = 103/440

Probability of getting someone who is age 23-30 or smokes

= 148/440 + 103/440

= 251/440