Thinking Mathematically (6th Edition)

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

Chapter 11 - Counting Methods and Probability Theory - Chapter 11 Test - Page 762: 21

Answer

See below.

Work Step by Step

The odds for $E$: $\frac{P(E)}{P(\text{not E})}$. The probability for $E$: $\frac{P(E)}{P(\text{not E})+P(E)}$. The odds against $E$: $\frac{P(\text{not E})}{P(E)}$ The probability against $E$: $\frac{P(\text{not E})}{P(\text{not E})+P(E)}$. a) odds for $E$: $\frac{1}{P(\text{not E})}=4$ b) $P(E)=\frac{4}{4+1}=\frac{4}{5}$
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