Suppose that in a senior college class of 640 students it is found that 114 smok

Question

Suppose that in a senior college class of 640 students it is found that 114 smoke, 264 drink alcoholic beverages, 240 eat between meals, 80 smoke and drink alcoholic beverages, 93 eat between meals and drink alcoholic beverages, 52 smoke and eat between meals and 36 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 drinks alcoholic beverages but does not smoke. (Enter your answer correct to four decimal places, that is, 0.XXXX) 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. 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.

Explanation / Answer

2. P(Drink but not smoke)

= P(Drink) - P(Smoke and Drink)

= 264/640 - 80/640

= 0.2875

3. P(Smoke and drink but does not eat between meals)

= P(Smoke and drink) - P(All three)

= 80/640 - 36/640

= 44/640

= 0.06875

= 0.0688 [Rounded off to 4 decimal places]

4. P(Eat between meals but neither drink nor smoke)

= P(Eat between meals) - P(Eat between meals and drink) - P(Eat between meals and smoke) + P(All three)

= 240/640 - 93/640 - 52/640 + 36/640

= 0.2046875

= 0.2047 [Rounded off to 4 decimal places]

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