A 8 person committee consist of 5 women, including Margaret, and 3 men, including Anthony. If a subcommittee of 3 people is to be chosen at random to evaluate a new project. The subcommittee needs to include at least 1 women, but can’t consist entirely of women. (d) How many subcommittees which include Anthony can be selected? (e) What is the probability that Anthony is included in the subcommittee (f) How many different subcommittees include Margaret?

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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A 8 person committee consist of 5 women, including Margaret, and 3 men, including Anthony. If a subcommittee of 3 people is to be chosen at random to evaluate a new project. The subcommittee needs to include at least 1 women, but can’t consist entirely of women.

(d) How many subcommittees which include Anthony can be selected?
(e) What is the probability that Anthony is included in the subcommittee
(f) How many different subcommittees include Margaret?

 

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