Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 4 - Probability and Counting Rules - 4-5 Probability and Counting Rules - Exercises 4-5 - Page 245: 3


a. $p=4/35$ b. $p=1/35$ c. $p=12/35$ d. $p=18/35$

Work Step by Step

The total outcomes are $_7C_3=35$ a. All 3 selected will be women. Choose 3 women out of 4, $_4C_3=4$, $p=4/35$ b. All 3 selected will be men. Only on choice, so $p=1/35$ c. 2 men and 1 woman will be selected. Number of choices $_3C_2$*$_4C_1$=12, $p=12/35$ d. 1 man and 2 women will be selected. Number of choices $_3C_1$*$_4C_2$=18, $p=18/35$
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