Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 13 - Counting and Probability - 13.3 Probability - 13.3 Asses Your Understanding - Page 865: 22

Answer

$\frac{1}{8}$.

Work Step by Step

$n(S)=2\cdot4\cdot4=32$, because the third spinner can have $2$ outcomes and the first spinner can have $4$ outcomes (but we spin it twice) . $n(E)=4$, because either a forward followed by a $1$ and $2$ or a forward followed by a $1$ and a $4$ or a forward followed by a $3$ and a $2$ or a forward followed by a $3$ and a $4$ are the required outcomes. We know that $P(E)=\frac{n(E)}{n(S)}$, hence $P=\frac{4}{32}=\frac{1}{8}$.
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