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 246: 14


a. $0.0003$ b. $0.089$ c. $0.053$ d. $0.496$

Work Step by Step

There are 65 players altogether. Select 4 out of 65, we have $_{65}C_4$=677040 a. All 4 are seniors Select 4 seniors out of 10, $_{10}C_4$=210, so $p=210/677040=0.0003$ b. There is 1 each: freshman, sophomore, junior, and senior Choices $20\times20\times15\times10=60000$, $p=60000/677040=0.089$ c. There are 2 sophomores and 2 freshmen Outcomes $_{20}C_2$*$_{20}C_2$=36100, $p=36100/677040=0.053$ d. At least 1 of the students is a senior No seniors, $_{55}C_4$=341055, complement $p=1-341055/677040=0.496$
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