## Elementary Statistics (12th Edition)

Published by Pearson

# Chapter 4 - Probability - 4-4 Multiplication Rule: Basics - Basic Skills and Concepts - Page 164: 10

#### Answer

Independent, $\frac{1}{100}.$

#### Work Step by Step

Two events are dependent, if the outcome of one effects the outcome of the other. Here the events are independent, because the sampling was done with replacement, hence here $P(B|A)=P(B)$. $P(A \cap B)=P(A)\cdot P(B|A)$. Hence $P(A \cap B)=\frac{1}{10}\cdot\frac{1}{10}=\frac{1}{100}.$

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.