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: 4

Answer

$0.066$, $0.181$, $0.029$

Work Step by Step

The total outcomes of selecting 3 from 100 is $_{100}C_3$=161700 what is the probability that they will all be Republicans? Choose 3 from 41 Republicans: $_{41}C_3$=10660 $p=10660/161700=0.066$ What is the probability that they will all be Democrats? Chose 3 from 57 Democrats: $_{57}C_3$=29260 $p=29260/161700=0.181$ What is the probability that there will be 1 from each party, including the Independent? Choices $2\times41\times57=4674$ $p=4674/161700=0.029$
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