Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.7 - Probability - Concept and Vocabulary Check - Page 1118: 8


If it is possible for events $ A\ \text{ and }\ B $ to occur simultaneously, then $ P\left( A\,\text{or }B \right)$ is $ P\left( A \right)+P\left( B \right)-P\left( A\text{ and }B \right)$.

Work Step by Step

We know that if $ A\ \text{ and }\ B $ are not mutually executive events, the probability that either $ A\ \text{or}\ B $ will occur is determined by adding their individual probabilities and also subtracting the probability that $ A\ \text{ and }\ B $ occur simultaneously. Thus, the probability is: $ P\left( A\,\text{or }B \right)=P\left( A \right)+P\left( B \right)-P\left( A\text{ and }B \right)$
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