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: 97

Answer

See below.

Work Step by Step

If two events $A,B$ are not mutually exclusive, then $P(\text{A or B})=P(A)+P(B)-P(\text{A and B})$ and $P( \text{A and B}))\ne0$. 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 being odd. Then here the probability $P( \text{A and B})=P( \text{less than 3 and odd})=P( \text{selecting the number 1})=\frac{1}{10}$. Then the probability for this: $\frac{2}{10}+\frac{5}{10}-\frac{1}{10}=\frac{6}{10}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.