Thinking Mathematically (6th Edition)

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

Chapter 11 - Counting Methods and Probability Theory - 11.7 Events Involving And; Conditional Probability - Exercise Set 11.7 - Page 747: 38

Answer

$\frac{1}{7}$

Work Step by Step

If A and B are dependent events, then P(A and B) = P(A) *P(B given that A has occurred) E: Two Republicans A: A Republican B: A Republican given that one has already been selected (A) = $\frac{6}{15}$ P(B) =$\frac{5}{14}$ P(E) = $\frac{6}{15}$ .$\frac{5}{14}$ P(E)=$\frac{1}{7}$
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