A students' council with 22 members must select 3 students to help run a fundraiser. This is to be done by randomly selecting 3 names from the 22 names available. The council has 3 students from grade 9, 4 students from grade 10, 10 students from grade 11, and the remainder from grade 12. Determine the probability that 2 out of the 3 names are chosen from the same grade.

A students' council with 22 members must select 3 students to help run a fundraiser. This is to be done by randomly selecting 3 names from the 22 names available. The council has 3 students from grade 9, 4 students from grade 10, 10 students from grade 11, and the remainder from grade 12. Determine the probability that 2 out of the 3 names are chosen from the same grade.

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

There are 6 male students and 17 female students in a class.If you choose 2 students at random, find the probability that both are female.Answer with a fraction or give four decimal places.
Please quickly
There are 2 pink, 2 red, 2 blue, 2 violet, and 2 yellow balls. What is the probability of getting red? Show solutions.
A bag of marbles contains 4 red, 3 blue, 2 green and 1 yellow marble. Half of the red and green marbles are glass, and all of the other marbles are polished stone. What is the probability of selecting: Add the colors together to determine how many marbles are in the bag. This will become the right side of the answer. Determine how many marbles exactly fit the specified criteria to find the left side. Remember to reduce if necessary. A yellow stone marble: ____ : ____ A blue or green stone marble: _____ : _____ Two red marbles in a row without replacement: _____ : _____ Three glass marbles in a row with replacement: _____ : _____
At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Draw two cards from a deck. Find the probability of drawing an ace with draw #1, then with draw #2. Explain your answer.
If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability of getting one queen and two kings The probability is
please answer number 3
PLEASE DO NOT LOOK UP THE ANSWER AND COPY AND PASTE IT. I CAN TELL IF YOU DO AND WILL GIVE YOU A THUMBS DOWN!!! Thank you 11a. Use the counting techniques from the last chapter. A bag contains two red marbles, three green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs three at random. Find the probability of the indicated event. She gets all the red ones, given that she gets the fluorescent pink one. 11b. Use the counting techniques from the last chapter. A bag contains three red marbles, four green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event. She gets all the red ones, given that she does not get the fluorescent pink one. 11c. Use the counting techniques. A bag contains two red marbles, four green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event. She…
Find the probability of getting 2 diamonds, if we draw 2 cards at random from a pack of 52 cards.