Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 7 - Section 7.1 - An Introduction to Discrete Probability - Exercises - Page 452: 37

Answer

Probability is greater for 3 dices

Work Step by Step

Ways to get a total of 9 with 2 dice rolled = (3,6),(4,5),(5,4),(6,3) =4 Total possibilities with 2 dices = $6^{2}$= 36 Probability = 4/36 = 0.1111 Ways to get a total of 9 with 3 dice rolled = 25 Total possible outcomes with 3 dices = $6^{3}$ = 216 Probablity = 25/216= .1157 .1157>.1111 Hence the probability of getting a sum of 9 is more when 3 dices are rolled rather than 2.
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