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: 4.32

Answer

The complement of an event is two mutually exclusive events that taken together include all the outcomes for an experiment. Because two complementary events, taken together, include all outcomes for an experiment and because the sum of the probabilities of all outcomes is 1, $P(A) +P(Ā) = 1.0$

Work Step by Step

see above.
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