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: 93

Answer

See below.

Work Step by Step

The probability against $E$: $\frac{P(\text{not E})}{P(\text{not E})+P(E)}=1-P(E)$. E.g. if we have $10$ balls, $3$ reds and $7$ blues, then the probability of not drawing a red ball when drawing one ball is: $1-P(red)=1-\frac{3}{10}=\frac{7}{10}$
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