Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.6 Events Involving Not and Or; Odds - Exercise Set 11.6 - Page 736: 95

Answer

See below.

Work Step by Step

If two events $A,B$ are mutually exclusive, then $P(\text{A or B})=P(A)+P(B)$. Assume we have the integers from $1$ to $10$ and we want to find the probability of randomly choosing a number less than $3$ or more than $8$. Then these are mutually exclusive and $P(\text{A or B})=\frac{2}{10}+\frac{2}{10}=\frac{4}{10}$
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