The Chamber of Commerce is electing 5 new board officers. There are 32 individuals running:10 democrats, 8 republicans, and 14 independents 1. How many possible outcomes does thiselection have? 2. In how many ways can a board containing exactly 1 republicans be elected?3. What is the probability of selecting a board with exactly 2 democrats, 2 republicans, and 1independents? 4. What is the probability at least 1 independent will be selected? 5. If youknow that exactly 2 democrats have been selected, what is the probability the board willconsist of 2 democrats, 2 republicans, and 1 independents?

1. Total Number of Possible Outcomes: To calculate the total number of possible outcomes, use…

Answered: The Chamber of Commerce is electing 5…

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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consider a political discussion group of 6 democrats, 5 republicans, and 3 independents. If two group members are randomly chosen, in succession, to attend a convention. What is the probability of selecting an independent and then a democrat?
Consider a political discussion group consisting of 4 Democrats, 9 Republicans, and 6 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting two Democrats.
At most one head 15. In Sentinel High School, there are 350 freshmen, 320 sophomores, 310 juniors, and 400 seniors. If a student is chosen at random from the student body to represent the school, what is the probability that the chosen student is a freshman? 16
1. In a candy jar, there are 20 blueberry and 12 cherry gumballs. If you randomly select two gumballs from this jar, what is the probability that both of them are the same flavor?Round your answer to 3 places after the decimal point, if necessary; or enter your answer as a fraction. 2. In the manufacturing division of a particular company, there are 79 managers and 38 supervisors. If two employees from the manufacturing division are randomly selected to represent the company at an upcoming conference, what is the probability that both employees have the same job title?Round your answer to 3 places after the decimal point, if necessary; or enter your answer as a fraction. 3.
b. A bag contains 33 blueblue marbles, 77 redred marbles, and 66 greengreen marbles. If two different marbles are drawn from the bag , what is the probability of drawing first a blueblue marble and then a greengreen marble?
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