Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 4 - Probability and Counting Rules - 4-3 The Multiplication Rules and Conditional Probability - Extending the Concepts - Page 226: 53


No, unless P(A)=0 or P(B)=0

Work Step by Step

Since A and B are two mutually exclusive events, we have P(A and B)=0 For A and B to be independent events, we need P(A and B)=P(A)*P(B) this requires that either P(A)=0 or P(B)=0 The conclusion is that A and B will not be independent events unless at least one of the individual probability is zero.
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