Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 4 - Probability - 4-4 Multiplication Rule: Basics - Basic Skills and Concepts: 12

Answer

$\frac{56}{9900}.$, Dependent.

Work Step by Step

Two events are dependent, if the outcome of one effects the outcome of the other. Here the events are dependent, because the M&M reduces the opportunities for the next selection. $P(A \cap B)=P(A)\cdot P(B|A)$. Hence $P(A \cap B)=\frac{8}{100}\cdot\frac{7}{99}=\frac{56}{9900}.$
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