1. A group of 15 undergraduate and 15 graduate students are in a room. If 10 of the 30 students are selected at random and called sequentially by the instructor (order matters), what is the probability that all 10 are graduate students or all 10 are undergraduate students? 2. Select uniformly at random a permutation of {1,2, ..., 100}. What is the probability that in the selected permutation all numbers are in ascending order? 3. A group of 40 women and 40 men are in a room. A committee of 15 is chosen at random. Find the probability that the committee consists only of women.

1. A group of 15 undergraduate and 15 graduate students are in a room. If 10 of the 30 students are selected at random and called sequentially by the instructor (order matters), what is the probability that all 10 are graduate students or all 10 are undergraduate students? 2. Select uniformly at random a permutation of {1,2, ..., 100}. What is the probability that in the selected permutation all numbers are in ascending order? 3. A group of 40 women and 40 men are in a room. A committee of 15 is chosen at random. Find the probability that the committee consists only of women.

Name: Part 3 1. A group of 15 undergraduate and 15 graduate students are in
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Description: Part 3 1. A group of 15 undergraduate and 15 graduate students are in a room. If 10 of the 30 students areselected at random and called sequentially by the instructor (order matters), what is the probabilitythat all 10 are graduate students or all 10

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 4E: Let E and F be events in a sample space S. aThe probability of E and F occurring is...

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