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 748: 87

Answer

$\frac{25}{7776}$

Work Step by Step

$P(E)=1-P(\text{not E})$. Since the events are independent, $P(\text{A and B})=P(A)P(B)$. Hence here the probability: $\frac{1}{6}\frac{5}{6}\frac{1}{6}\frac{1}{6}\frac{5}{6}=\frac{25}{7776}$
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