Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 4 - Probability - 4-4 Multiplication Rule: Basics - Page 166: 25

Answer

0.00045, very unlikely.

Work Step by Step

Events are dependent, if the outcome of one effects the outcome of the other. Here the events are dependent, because sampling was done without replacement. $P(A \cap B \cap C)=P(A)\cdot P(B|A)\cdot P(C|(A \cap B))$. Hence $P(A \cap B \cap C)=\frac{24}{300}\cdot\frac{23}{299}\cdot\frac{22}{298}=0.00045.$ Hence it is very unlikely.
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