# Public health and Nutrition. Tobacco smoke contains more than 7000 chemicals, many that are toxic and several that are known to cause cancer. As a result, many smokers try various methods to quit.

Public health and Nutrition. Tobacco smoke contains more than 7000
chemicals, many that are toxic and several that are known to cause cancer. As a result, many smokers try various methods to quit. Consider a group of smokers who want to quit. In this group, 2.7% have tried an electronic cigarette, or e-cigarette. Of those who have tried e-cigarettes, 31% quit smoking after six months. Of those people who tried some other method, suppose 17% quit smoking after six months.
Suppose a smoker who would like to quit is selected at random.
(a) What is the probability (±0.0001) that the smoker tried e-cigarettes and quit smoking after six months?
P(E∩Q) =
(b) What is the probability (±0.0001) that the smoker quit after six months?
P(Q) =
(c) Suppose the smoker quit smoking after six months. What is the probability (±0.0001) that she tried e-cigarettes?
P(E|Q) =

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