50 people responded to a recent poll regarding a potential upcoming mayoral candidate. Of those who replied, 21 identified themselves as Republican, 20 identified as Democrat, and 9 identified themselves as Independents. Suppose you want to select 10 of these 50 respondents to participate in a focus group in preparation for the candidate’s election bid. a. How many different ways can 4 Republicans, 4 Democrats, and 2 Independents be selected for the focus group?  b. What is the probability that at least 1 Independent is part of the focus group?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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50 people responded to a recent poll regarding a potential upcoming mayoral candidate. Of those who replied, 21 identified themselves as Republican, 20 identified as Democrat, and 9 identified themselves as Independents. Suppose you want to select 10 of these 50 respondents to participate in a focus group in preparation for the candidate’s election bid.

a. How many different ways can 4 Republicans, 4 Democrats, and 2 Independents be selected for the focus group? 

b. What is the probability that at least 1 Independent is part of the focus group? 

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