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: 67

Answer

1:3

Work Step by Step

The odds in favor of E are found by taking the probability that E will occur and dividing by the probability that E will not occur. Odds in Favor = $\frac{P(E)}{P(not E)}$ The odds in favor of drawing a heart are: P(E) = $\frac{13}{52}$ = $\frac{1}{4}$ P(not E) = 1 - P(E) = 1 - $\frac{1}{4}$ =$\frac{4-1}{4}$ = $\frac{3}{4}$ Odds in Favor = $\frac{\frac{1}{4}}{\frac{3}{4}}$ = $\frac{1}{3}$
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