Suppose that in a senior college class of 600 students it is found that 114 smok

Question

Suppose that in a senior college class of 600 students it is found that 114 smoke, 264 drink alcoholic beverages, 240 eat between meals, 78 smoke and drink alcoholic beverages, 93 eat between meals and drink alcoholic beverages, 54 smoke and eat between meals and 36 engage in all three of these bad health practices. [The information for this problem is also used for the next two problems]

A )If a member of this senior class is selected at random, find the probability that the student drinks alcoholic beverages but does not smoke. (Enter your answer correct to three decimal places, that is, 0.XXX)

I got 0.310 and its correct.

B) Refer to the information given in problem 2. If a member of this class is selected at random, find the probability that the student smoke and drinks alcoholic beverages but does not eat between meals. (Enter your answer to three decimal places, that is 0.XXX)

0.538 Was Incorrect

C) Again referring to the information given in question 2, if a member of this senior class is selected at random, find the probability that the student eats between meals but neither drinks alcoholic beverages nor smokes. (Enter your answer correct to three decimal places)

0.155 Was Incorrect

Explanation / Answer

1. probability that the student drinks alcoholic beverages but does not smoke

= [N(alcohol) - N(alcohol and smoke)] / 600 = (264 - 78)/600 = 0.310

2. probability that the student smoke and drinks alcoholic beverages but does not eat between meals

= [N( smoke and alcohol) - N(does all 3 things)] / 600 = (78-36)/600

= 0.070

3. probability that the student eats between meals but neither drinks alcoholic beverages nor smokes

= [N(eats between meals) - N(eats and alcohol) - N(eats and smoke) + N(does all 3 things)] / 600

= (240 - 93 - 54 + 36)/600 = 0.215

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