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: 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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