Algebra 2 (1st Edition)

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

Chapter 10 Counting Methods and Probability - 10.3 Define and Use Probability - Guided Practice for Examples 1 and 2 - Page 699: 3


See below.

Work Step by Step

a) There are $9!$ different permutations of the musicians, and out of these only $1$ is in alphabetical order by last name. Thus the probability: $\frac{1}{9!}=\frac{1}{362880}\approx0.00000275573$ b) There are $_9C_2$ combinations of $2$ musicians and out of these only $_4C_2$ are your friends. Thus the probability: $\frac{_4C_2}{_9C_2}=\frac{6}{36}=\frac{1}{6}\approx0.16667$
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