A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, three green ones, five white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]

She has all the red ones.
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There are total (3+3+5+1)=12 marbles.She can pick 8 marbles from 12 marbles in 12C8=495 waysIf she picks all the red ones then all 3 red marbles will appear in 1 way and she will have to pick (8-3)=5 other marbles from (12-3)=9 marblesHe can do that in 9C5=126 ways.So total number of ways to pick all the red marbles is= 1×126=126

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