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 Summary, Review, and Test - Review Exercises - Page 760: 89

Answer

$\frac{1}{3}$

Work Step by Step

Let A denote the event that the outcome is an odd number and B be the event that the tossed die shows 5. Clearly, we have to find P(B|A). A= {1,3,5} and A∩B= {5} P(A)= $\frac{3}{6}$ and P(A∩B)= $\frac{1}{6}$. P(B|A)= $\frac{P(A∩B)}{P(A)}= \frac{\frac{1}{6}}{\frac{3}{6}}= \frac{1}{3}$
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