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Probability of Forming a Peaceful Committee in a Group of Women and Men - Prof. Richard B., Quizzes of Probability and Statistics

University of Illinois - Urbana-Champaign Probability and Statistics

Prof. Richard B. Sowers

A quiz question from a university mathematics course, math 461, section c13, fall 2010. The question asks for the probability that two specific individuals, alice (a woman) and bob (a man), do not serve together on a committee of 4 women and 6 men. The problem involves calculating combinations and probabilities.

Typology: Quizzes

2010/2011

Uploaded on 06/28/2011

koofers-user-zoh 🇺🇸

10 documents

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Download Probability of Forming a Peaceful Committee in a Group of Women and Men - Prof. Richard B. and more Quizzes Probability and Statistics in PDF only on Docsity! Math 461, Section C13, Fall 2010 Quiz 2, September 1 Name: 1. 10 points Suppose that we have 8 women, and 15 men. One of the women is named Alice, and one of the men is named Bob. Suppose that we form a committee of 4 women and 6 men. What is the probability that Alice and Bob do not serve together? (To make sense of this, suppose that Alice and Bob do not get along. If they are not on the committee together, the committee will be a peaceful one. We are interested in the probability that the committee will be a peaceful one). R. Sowers 1

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