Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 10 Counting Methods and Probability - 10.5 Find Probabilities of Independent and Dependent Events - 10.5 Exercises - Skill Practice - Page 721: 13

Answer

$\frac{5}{256}$

Work Step by Step

These events are independent. There are $16$ equally sized fields: $4$ are yellow and green, $3$ are blue, and $5$ are red. Hence $P(\text{green, then red, then yellow})=P(green)P(red)P(yellow)=\frac{4}{16}\frac{5}{16}\frac{4}{16}=\frac{5}{256}$
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