Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.7 - Probability - Exercise Set - Page 1120: 73


a. $\frac{12}{25}$ b. $\frac{3}{10}$

Work Step by Step

a. There are $29-5=24$ students who are Democrats but not business majors. Thus the probability of finding a Democrat who is not a business major is $\frac{24}{50}=\frac{12}{25}$ b. First, find the probability of a Democrat or a business major as $p=\frac{29}{50}+\frac{11}{50}-\frac{5}{50}=\frac{35}{50}=\frac{7}{10}$ Then the probability of finding a student who is neither a Democrat nor a business major is $1-p=\frac{3}{10}$
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