Referring to the important health practices advocated by the California study, suppose  that in a senior college class of 500 students its is found that 210 smoke, 258 drink alcoholic  beverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eat  between meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52  engage in all three of these bad health practices. If a member of this sneer class is selected  at random, find the probability that the student a. smoke 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 First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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3. Referring to the important health practices advocated by the California study, suppose 
that in a senior college class of 500 students its is found that 210 smoke, 258 drink alcoholic 
beverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eat 
between meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52 
engage in all three of these bad health practices. If a member of this sneer class is selected 
at random, find the probability that the student
a. smoke 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

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