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: 2

Answer

Dependent.

Work Step by Step

$P(A|B)$ means the probability of A happening if B has happened, hence $P(D|R)$ is the probability of the second selected senator being a Democrat, knowing that the first one was a Republican. Hence, because the sample was done without replacement, then if the first selected senator was also a Democrat, then for the second choice there would be less Democrats left, hence their probability would be lower. Hence it is dependent.
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