Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - Chapter Summary, Review, and Test - Review Exercises - Page 760: 86

Answer

$\frac{1}{9}$

Work Step by Step

We know that $probability=\frac{\text{number of favorable outcomes}}{\text{number of all outcomes}}$ The number of all outcomes is $(4+3+2)(4+3+2-1)=9\cdot8=72$, because the first student can be anyone, the second can be anyone apart from the first one. The number of good outcomes is $2\cdot4=8$ because the first person is a music major, the second is a psychology major. Thus probability$=\frac{8}{72}=\frac{1}{9}$
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