A city council consists of ten members. Four are democrats and six are Republicans. A committee of five to study transportation issues will be randomly selected. How many ways can 2 democrats be chosen? What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrats?

A city council consists of ten members. Four are democrats and six are Republicans. A committee of five to study transportation issues will be randomly selected. How many ways can 2 democrats be chosen? What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrats?

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...

See similar textbooks

Similar questions

A box contains 3 black spheres and 4 white spheres. Given that you have already selected 1 black sphere, what is the probability of selecting 2 white spheres?
There are 36 women and 34 men at Mr. Stover’s family reunion. They are drawing names to determine who wins the 50/50 raffle. They put all the names in hat to be selected. What is the probability of selecting a man and woman? After each selection the names are not placed back into the hat.
A class consists of 18 boys and 16 girls. The teacher will randomly choose three students to be on a special committee. What is the probability that more girls are on the committee than boys?
Samir has a big bag of wooden blocks in assorted shapes. He randomly picks a block from the bag, records its shape, and puts it back in the bag. He does this 15 times and records 6 squares, 3 trapezoids, 4 kites, and 2 rectangles.Based on the data, what is the probability of choosing a square block?
Three people are selected for a committee from 5 Democrats and 3 Republicans. What is the probability the committee contains both Democrats and Republicans given that it contains at least two Democrats?