Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 7 - Section 7.1 - Sample Spaces and Events - Exercises - Page 459: 71

Answer

$15$ $10$

Work Step by Step

We count how many ways he can choose 4 gummy bears out of 6. That is $C(6,4)=\frac{6!}{4!*2!}=\frac{6*5*4*3*2*1}{4*3*2*1*2*1}=3*5=15$ Next, we count how many ways he can choose three other gummy bears from the 5 gummy bears (other than the raspberry one). That is $C(5,3)=\frac{5*4*3*2*1}{3*2*1*2*1}=5*2=10$ We conclude that 10 outcomes include the raspberry gummy bear.
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