A study of consumer smoking habits includes 193 people in the 18-22 age bracket (60 of whom smoke), 127 people in the 23-30 age bracket (35 of whom smoke), and 96 people in the 31-40 age bracket (23 of whom smoke). If one person is chosen randomly, the probability will be calculated as follows:
Total number of people in the sample = 193 + 127 + 96 = 416
Probability of picking 23-30 year old, that is, P(A) = 92 /416 = 0.2212 ( not including the people who smoke)
Number of people who smoke = 60+35+23 = 118 people
Probability of picking someone who smokes P(B) = 118/416 = 0.2837
So required probability = P(A)+ P(B)
= 0.2837 + 0.2212
= 0.505
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