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: 36

Answer

Probability is greater for 2 dices .

Work Step by Step

Ways to get a total of 8 with 2 dice rolled = (2,6),(3,5),(4,4),(5,3),(6,3) Total possibilities with 2 dices = $6^{2}$ = 36 Probability = $\frac{5}{36}$ = 0.138889 Ways to get a total of 8 with 3 dice rolled = (1,1,6),(1,6,1),(6,1,1),(5,2,1),(5,1,2),(2,5,1),(2,1,5),(1,2,5),(1,5,2),(1,3,4),(1,4,3),(4,3,1),(4,1,3),(3,1,4),(3,4,1),(4,2,2),(2,4,2)(2,2,4),(2,3,3),(3,2,3),(3,3,2) = 21 ways Total possibilities with 3 dices = $6^{3}$ = 216 Probability = $\frac{21}{216}$ = 0.09722 0.138889 $\gt$ 0.09722
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