Suppose that in a senior college class of 500 students, it is found that 217 smoke, 261 drink alcoholic beverages, 209 eat between meals, 128 smoke and drink alcoholic beverages, 82 eat between meals and drink alcoholic beverages, 102 smoke and eat between meals, and 55 engage in all three of these bad health practices. If a member of this senior class is selected at random, find the probability that the student (a) smokes but does not drini alcoholic beverages; (b) eats between meals and drinks alcoholic beverages but does not smoke; (c) neither smokes nor eats between meals. (a) P(smokes but does not drink alcoholic beverages) = (Type an integer or a decimal. Do not round.) (b) P(eats between meals and drinks alcoholic beverages but does not smoke) = (Type an integer or a decimal. Do not round.) (c) P(neither smokes nor eats between meals) = (Type an integer or a decimal. Do not round.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose that in a senior college class of 500 students, it is found that 217 smoke, 261 drink alcoholic beverages, 209 eat between meals, 128 smoke and drink alcoholic beverages, 82 eat between meals and drink alcoholic
beverages, 102 smoke and eat between meals, and 55 engage in all three of these bad health practices. If a member of this senior class is selected at random, find the probability that the student (a) smokes but does not drink
alcoholic beverages; (b) eats between meals and drinks alcoholic beverages but does not smoke; (c) neither smokes nor eats between meals.
(a) P(smokes but does not drink alcoholic beverages) =
(Type an integer or a decimal. Do not round.)
(b) P(eats between meals and drinks alcoholic beverages but does not smoke) =
(Type an integer or a decimal. Do not round.)
(c) P(neither smokes nor eats between meals) =
(Type an integer or a decimal. Do not round.)
(...)
Transcribed Image Text:Suppose that in a senior college class of 500 students, it is found that 217 smoke, 261 drink alcoholic beverages, 209 eat between meals, 128 smoke and drink alcoholic beverages, 82 eat between meals and drink alcoholic beverages, 102 smoke and eat between meals, and 55 engage in all three of these bad health practices. If a member of this senior class is selected at random, find the probability that the student (a) smokes but does not drink alcoholic beverages; (b) eats between meals and drinks alcoholic beverages but does not smoke; (c) neither smokes nor eats between meals. (a) P(smokes but does not drink alcoholic beverages) = (Type an integer or a decimal. Do not round.) (b) P(eats between meals and drinks alcoholic beverages but does not smoke) = (Type an integer or a decimal. Do not round.) (c) P(neither smokes nor eats between meals) = (Type an integer or a decimal. Do not round.) (...)
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