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 457: 40

Answer

$56$ $4$

Work Step by Step

We simply count how many ways Pablo can choose three marbles from a bag of 8 marbles. That is $C(8,3)=\frac{8!}{5!*3!}=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1*3*2*1}=7*8=56$ To count the number of outcomes in which all of the marbles he picks are red, we count how many ways he can pick 3 marbles from the 4 marbles that are red. That is $C(4,3)=4$
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