Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 13 - Counting and Probability - 13.3 Probability - 13.3 Asses Your Understanding - Page 866: 69

Answer

a) $\frac{25}{33}$ b) $\frac{25}{33}$

Work Step by Step

We know that probability$=\frac{\text{number of favourable outcomes}}{\text{number of all outcomes}}.$ a) In total there are $18+15=33$ students, out of which $18$ are freshmen (including females) and $15-8=7$ are sophomore females. Thus the probability=$\frac{18+7}{33}=\frac{25}{33}$ b) In total there are $18+15=33$ students, out of which $15$ are sophomores (including males) and $10$ are freshmen males. Thus the probability=$\frac{15+10}{33}=\frac{25}{33}$
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