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: 27

Answer

$\frac{1}{9}$

Work Step by Step

This is a two dice problem, the total outcomes are 36 ($6\times6$) There are 1 chance (11) to roll a 2, 2 chances (12,21) to roll a 3, and 1 chance (66) to roll a 12, so there are 4 chances to roll a 2,3, or 12, the probability is $p=\frac{4}{36}=\frac{1}{9}$ of losing on the first roll.
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