7. From a group of 14 boys and 10 girls, a committee of 3 students is chosen at random.a. What is the probability that all 3 members on the committee will be girls? 15/253b. What is the probability that all 3 members of the committee will be boys?c. What is the probability that there will be at least 1 girl on the committee?

Answered: Image /qna-images/answer/a373b41f-89c5-40ee-a67a-fdc478dde158.jpg

Answered: 7. From a group of 14 boys and 10…

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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Similar questions

Find the probability that a randomly selected group of four children will contain exactly three girls
A work crew for a building project is to be made up of 2 craftsmen and 4 laborers selected from a total of 5 craftsmen and 6 laborers. a. How many different combinations are possible? b. The brother of one of the craftsmen is a laborer. If the crew is selected at random, what is the probability that both brothers will be selected? c. What is the probability that neither brother will be selected?
an after-school club consists of 10 juniors and 7 seniors. If 4 students are chosen at random to represent the club at a school fair, what is the probability that at least one student from each class level is selected?
a. A coin is flipped 5 times, find the probability of getting exactly 4 heads. b. A coin is flipped 5 times. Find the probability of getting at least 3 heads.
From a group of 8 people, 4 are randomly selected. What is the probability the 4 oldest people in the group were selected? Give your answer as a reduced fraction.
25. One bag contains 7 red chips and 5 yellow chips. Another bag contains 5 red chips and 2 yellow chips. A chip is drawn from each bag. What is the probability that both chips are yellow? A. 59 84 B. 5 12 C. 16 D. 5 42
Suppose that a jar contains 15 white marbles, 21 yellow marbles, 6 green marbles, and 13 purple marbles. If one marble is selected, determine the probability that a. The marble is green. (5 points)b. The marble is white or purple
9. A committee of 12 is to be selected from 18 soccer players and 15 basketball players. What is the probability that the number of soccer players on the committee is triple the number of basketball players.
A high school club consists of 5 freshmen, 5 sophomores, 4 juniors, and 6 seniors. a. How many ways can a committee of 4 people be chosen that includes one student from each class? Answer: b. How many ways can a committee of 4 people be chosen that includes 4 juniors? Answer: c. How many ways can a committee of 4 people be chosen that includes two freshmen and 2 seniors? Answer: d. What is the probability that a committee of 4 people selected at random does not include any freshmen? Answer in factorial notation, permutation or combination notation: e. What is the probability that a committee of 4 people selected at random includes at least three seniors given that the committee includes NO freshmen? Answer in factorial notation, permutation or combination notation:
2). You pick 100 cards from a deck of cards one at a time. You select the cards after replacing each card picked and shuffling. Find the probability that you select at least 8 kings.

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