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: 9


$0.917$, $0.594$, $0.0014$

Work Step by Step

Total outcomes of choose 5 from 20: $_{20}C_5$=15504 What is the probability that the collection will include at least one group from the United States? Choices with none from US: $_{13}C_5$=1287, The probability that include at least one from the US: $p=1-\frac{1287}{15504}=0.917$ At least 2 from the United States? Choices with only 1 from the US: $_{13}C_4$*$_7C_1$=5005 The probability that at least 2 from the US: $p=1-\frac{1287+5005}{15504}=0.594$ That all 5 will be from the United States? Choices of 5 out of 7: $_7C_5$=21 The probability that all 5 from the US: $p=frac{21}{15504}=0.0014$
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