Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 4 - Section 4.3 - Marginal Probability, Conditional Probability, and Related Probability Concepts - Exercises - Page 149: 4.31

Answer

In independent events, the occurrence of one event does not change the probability of the occurrence of the other event. In dependent events, the occurrence of one event affects the probability of the occurrence of the other event.

Work Step by Step

Suppose A and B are two events, the formula to prove A and B are independent is P(A|B) = P(A) or P(B|A) = P(B) The formula to prove A and B are dependent is $P(A|B) \ne P(A) or P(B|A) \ne P(B)$
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