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: 5

Answer

a. $0.192$ b. $0.269$ c. $0.538$ d. $0.013$

Work Step by Step

The total number of outcomes is $_{13}C_2=78$ a. The probability that both are filled by men. Favorable outcomes for this case is $_6C_2=15$ and The probability is $p1=15/78=0.1923$ b. The probability that both are filled by women. Favorable outcomes for this case is $_7C_2=21$ and The probability is $p2=21/78=0.2692$ c. The probability that one man and one woman are hired. Favorable outcomes for this case is $_6C_1\times_7C_1=42$ and The probability is $p3=42/78=0.53846$ d. The probability that the one man and one woman who are twins are hired. Favorable outcomes for this case is $1$ and The probability is $p4=1/78=0.0128$
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