Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 9 - Counting and Probability - Exercise Set 9.3 - Page 551: 24

Answer

a. 556 integers from 1 to 1000 are multiples of 2 or 9 b. 139/250 = 55.6% probability of a random integer from 1 to 1000 being a multiple of 2 or 9 c. 444 integers are neither multiples or 2 or 9

Work Step by Step

a. 1000 / 2 = 500, 1000/9 = 111, 1000/(2*9) = 55 500 + 111 – 55 = 556 integers from 1 to 1000 are multiples of 2 or 9 b. 556/1000 = 139/250 = 55.6% probability of a random integer from 1 to 1000 being a multiple of 2 or 9 c. 1000 – 556 = 444 integers are neither multiples or 2 or 9
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