A group consists of four Democrats and five Republicans. Four people are selected to attend a conference. a. In how many ways can four people be selected from this group of nine? b. In how many ways can four Republicans be selected from the five Republicans? c. Find the probability that the selected group will

A group consists of four Democrats and five Republicans. Four people are selected to attend a conference. a. In how many ways can four people be selected from this group of nine? b. In how many ways can four Republicans be selected from the five Republicans? c. Find the probability that the selected group will

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 computer randomly generates 9 numbers from 1 to 38 at once. What is the probability that two numbers among those 9 numbers to be the same? a. 64% b. 57% c. 49% d. 41% e. 77.
There are ten female board members and twenty male board members. How many ways are there to make a committee of ten board members? ways How many ways are there to make a committee of ten board members if exactly three must be female? ways Determine the probability of selecting a committee of ten board members where exactly three of the members were female. Write your answer as a decimal, rounded to the nearest thousandth. Answer:
committee of five to study transportation issues will be randomly selected. a. If one person on the council is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a Democrat? b. How many ways can the committee be formed if there are no restrictions on composition? C. How many ways can 3 Republicans be chosen? 23. A city council consists of ten members. Four are Democrats and six are Republicans. A d. How many ways can 2 Democrats be chosen? e. What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrats?
An urn
A club has a membership of 6 freshmen, 2 sophomores, 3 juniors and 4 seniors. A committee of 4 is chosen. Find each as a fraction or a decimal rounded to 2 decimal places. a. What is the probability that the committee consists of all freshmen? b. What is the probability that the committee consists of 2 juniors and 2 seniors? c. What is the probability that the committee consists of all sophomores?
Pick a card, any card. Suppose you pick the 5 of Hearts. If the 5 of Hearts is not returned to the deck, what is the probability of drawing: A. either another 5 or another Heart with the next card? B. four more Hearts with the next 4 cards drawn?
A. If 6% of the population of grass in Kentucky is bluegrass, find the probability that in a sample of 150 acres, there are exactly 6 acres of Kentucky bluegrass. B. Find the probability that there are at most 2 acres of Kentucky bluegrass.
A political discussion group consists of four Democrats and seven Republicans. Three people areselected (at random) to attend a conference.a. In how many ways can three people be selected from this group of eleven?b. In how many ways can three Republicans be selected from the seven Republicans?c. Find the probability that the selected group will consist of all Republicans?
5: Answer
A bag contains 5 red marbles, 2 blue marbles, and 9 green marbles. If one marble is selected at random, determine the probability that it is blue. OA. OB. O C. O 1856 2 9 D. 16
A jar contains 77 white, 99 blue, and 1616 red marbles. If one marble is drawn at random from the jar, find the probability that: 1. the marble is white or blue. Answer: 2. the marble is white or red.Answer: 3. the marble is blue or red.Answer:
A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference.a. In how many ways can 7 people be selected from this group of 13?b. In how many ways can 7 Republicans be selected from the 8 Republicans?c. Find the probability that the selected group will consist of all Republicans.