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Suppose that in a senior college class of 500 students it is found that 210 smok

ID: 3203030 • Letter: S

Question

Suppose that in a senior college class of 500 students it 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 m all three of these bad health practices. If a member of tins 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.

Explanation / Answer

At first let's sum up: class consists of 500 students and
52 (eat, drink and smoke)
45 (smoke and eat but does not drink)
31 (eat and drink but does not smoke)
70 (smoke and drink but does not eat)
88 (just eat)
105 (just drink)
43 (just smoke)
66 (are healthy)

a) smokes but does not drink 45+43=88 probability= 88/500

b) eats and drinks but does not smoke 31 probability=31/500

c) neither smokes nor eats 105+66= 171 probability=171/500

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