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1. The probability that the head of a household is home when a telemarketing representative calls is 0.4. Given that the head of the house is home, the probability that goods will be bought from the company is 0.3. Find the probability that the head of the house is home and goods are bought from the company.

1. The probability that the head of a household is home when a telemarketing representative calls is 0.4. Given that the head of the house is home, the probability that goods will be bought from the company is 0.3. Find the probability that the head of the house is home and goods are bought from the company.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Counting Rules in Probability
1. The probability that the head of a household is home when a telemarketing representative calls is 0.4. Given that the head of the house is home, the probability that goods will be bought from the company is 0.3. Find the probability that the head of the house is home and goods are bought from the company. 2. In an experiment to study the relationship of hypertension and smoking habits, the following data are collected for 180 individuals: Nonsmokers Moderate Smokers Heavy Smokers Hypertension 21 36 30 Nonhvpertension 48 26 19 If one of these individuals is selected at random, find the probability that the person is, (a) Experiencing hypertension, given that the person is a heavy smoker; (b) A nonsmoker, given that the person is experiencing no hypertension. 3. A pair of fair dice is tossed. Find the probability of getting (a) A total of 8 (b) At most a total of 5 4. In a high school graduating class of 100 students, 54 studied mathematics, 68 studied history, and 36 studied both mathematics and history. If one of these students is selected at random, find the probability that (a) The student took mathematics or history; (b) The student did not take either of these subjects; (c) The student took history but not mathematics. 5. In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if one does not distinguish among trees of the same kind?
Transcribed Image Text:1. The probability that the head of a household is home when a telemarketing representative calls is 0.4. Given that the head of the house is home, the probability that goods will be bought from the company is 0.3. Find the probability that the head of the house is home and goods are bought from the company. 2. In an experiment to study the relationship of hypertension and smoking habits, the following data are collected for 180 individuals: Nonsmokers Moderate Smokers Heavy Smokers Hypertension 21 36 30 Nonhvpertension 48 26 19 If one of these individuals is selected at random, find the probability that the person is, (a) Experiencing hypertension, given that the person is a heavy smoker; (b) A nonsmoker, given that the person is experiencing no hypertension. 3. A pair of fair dice is tossed. Find the probability of getting (a) A total of 8 (b) At most a total of 5 4. In a high school graduating class of 100 students, 54 studied mathematics, 68 studied history, and 36 studied both mathematics and history. If one of these students is selected at random, find the probability that (a) The student took mathematics or history; (b) The student did not take either of these subjects; (c) The student took history but not mathematics. 5. In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if one does not distinguish among trees of the same kind?
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