Suppose that in a senior college class of 500 students, it is found that 196 smoke, 253 drink alcoholic beverages, 214 eat between meals, 110 smoke and drink alcoholic beverages, 81 eat between meals and drink alcoholic beverages, 94 smoke and eat between meals, and 47 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.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that in a senior college class of 500 students, it is found that 196 smoke, 253 drink alcoholic beverages,
214 eat between meals, 110 smoke and drink alcoholic beverages, 81 eat between meals and drink
alcoholic beverages, 94 smoke and eat between meals, and 47 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 196 smoke, 253 drink alcoholic beverages, 214 eat between meals, 110 smoke and drink alcoholic beverages, 81 eat between meals and drink alcoholic beverages, 94 smoke and eat between meals, and 47 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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