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 199: 23

Answer

a. $\frac{1}{25}$ b. $\frac{12}{25}$ c. $\frac{2}{5}$

Work Step by Step

a. The number is even There is only one even number (2) among a total of 25 prime numbers. So the probability of getting the even number is $p=\frac{1}{25}$ b. The sum of the number’s digits is even There are 12 (11 13 17 19 31 37 53 59 71 73 79 97) numbers whose sum of the number’s digits is even. So the probability of getting such a number is $p=\frac{12}{25}$ c. The number is greater than 50 There are 10 numbers in the list that is greater than 50. So the probability of getting such a number is $p=\frac{10}{25}=\frac{2}{5}$
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