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 - 4-1 Sample Spaces and Probability - Exercises 4-1 - Page 198: 19

Answer

a) $0.1$ b) $0.2$ c) $0.8$

Work Step by Step

There are 20 equal sections in which there are $2$ of $1$, $2$ of $2$, $8$ of $3$ and $8$ of $4$. a) Probability the customer wins $\$10$ This happens if the wheel lands on 1. $P(1)=\frac{2}{10}=\frac{1}{10}=0.1.$ b) Probability the customer wins money Winning money = either $\$10$ (1) or $\$5$ (2). $P(1)+P(2)=\frac{2}{20}+\frac{2}{20}=\frac{1}{5}=0.2.$ c) Probability the customer wins a coupon Winning coupon = the wheel lands on 3 or 4. $P(3)+P(4)=\frac{8}{20}+\frac{8}{20}=\frac{16}{20}=0.8.$
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