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: 18

Answer

$\frac{1}{3}$.

Work Step by Step

$n(S)=2\cdot3=6$, because the third spinner can have $2$ outcomes and the second spinner can have $3$ outcomes. $n(E)=2$, because either a forward followed by a yellow or a forward followed by a green are the required outcomes. We know that $P(E)=\frac{n(E)}{n(S)}$, hence $P=\frac{2}{6}=\frac{1}{3}$.
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