Algebra 2 (1st Edition)

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

Chapter 10 Counting Methods and Probability - 10.6 Construct and Interpret Binomial Distributions - 10.6 Exercises - Quiz for Lessons 10.5-10.6 - Page 730: 11

Answer

$\frac{24}{625}$

Work Step by Step

The total number of possible selections is $5^5=3125$, while the number of selections where all $5$ are different is $5\cdot4\cdot3\cdot2\cdot1=120$. (We cannot select beverages that were already selected). Thus the probability is: $\frac{120}{3125}=\frac{24}{625}$
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