Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 7 - Section 7.1 - Sample Spaces and Events - Exercises - Page 456: 6

Answer

$S=\{(1,1),(1,2),...,(1,6)$ $(2,1),(2,2),...,(2,6),$ $\vdots$ $(6,1),(6,2),...,(6,6)\}$ $E=\{(3,6),(4,5),(5,4),(6,3)\}$

Work Step by Step

Name the dice, one being the first die, the other being the 2nd. The sample space S consits of ordered pairs (x,y), where x is the number on the first die, y the number on the second die. $S=\{(1,1),(1,2),...,(1,6)$ $(2,1),(2,2),...,(2,6),$ $\vdots$ $(6,1),(6,2),...,(6,6)\}$ The described event E, in which the numbers add to 9, is: $E=\{(3,6),(4,5),(5,4),(6,3)\}$
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