For this problem, assume that there are 5 men and 8 women on the committee, and that a subcommittee of 3 is selected at random. What is the probability that all are male given that all are the same sex? Next, assume that the committee contains 5 men and 9 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
For this problem, assume that there are 5 men and 8 women on the committee, and that a subcommittee of 3 is selected at random. What is the probability that all are male given that all are the same sex? Next, assume that the committee contains 5 men and 9 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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For this problem, assume that there are 5 men and 8 women on the committee, and that a subcommittee of 3 is selected at random.
What is the probability that all are male given that all are the same sex?
Next, assume that the committee contains 5 men and 9 women and that three are selected at random for a subcommittee.
What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
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