## Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education

# Chapter 4 - Probability and Counting Rules - 4-3 The Multiplication Rules and Conditional Probability - Extending the Concepts - Page 226: 58

#### Answer

$\frac{1}{9}$

#### Work Step by Step

For the tortoise to move ahead of the hare, the number on the second die need to be larger than that of the first die. There are three cases (12,13,23). Case 1: $p=\frac{1}{6}\times\frac{2}{6}=\frac{1}{18}$ Case 2: $p=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$ Case 3: $p=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$ The total probability is the sum of all cases which gives $\frac{1}{9}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.