Seven yellow boxes and six blue boxes are in a storage room. Four boxes are to be selected at random, without replacement, from the room. If the boxes are equally likely to be chosen, use combinations to find the probability that 2 yellow boxes and 2 blue boxes are selected.

Seven yellow boxes and six blue boxes are in a storage room. Four boxes are to be selected at random, without replacement, from the room. If the boxes are equally likely to be chosen, use combinations to find the probability that 2 yellow boxes and 2 blue boxes are selected.

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

Related questions

Q: A box contains 5 red marbles, 4 green, and 8 blue. Find the probability of pulling two red marbles…

A: There are total 17 marbles in a box as 5 red + 4 green + 8 blue. Now consider the following values:…

Q: A bag of gumballs contains 10 green gumballs, 8 orange gumballs, 12 pink gumballs and 15 red…

A: Given that A bag of gumballs contains 10 green gumballs, 8 orange gumballs, 12 pink gumballs and 15…

Q: A printer contains 4 ink boxes and 5 cartridges.Find the probability of random selecting a set of 2…

A: Number of ink boxes = 4Number of cartridges = 5Total number of boxes = 4 + 5 = 9

Q: If you are dealt 7 cards from a shuffled deck of 52 cards, find the probability of getting four…

A: From the provided information,We are dealt 7 cards from a shuffled deck of 52 cards.Total cards =…

Q: a community swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks and 2…

Q: A basket contains 7 red marbles annd 3 white marbles. Three marbles are drawn one after the other.…

A: Here, the sampling method is not specified. The required probability is calculated based on sampling…

Q: In one town, 28% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, Probability, p = 28% = 0.28 Sample size = 2

Q: A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is…

A: bag 1 4 red , 3 black =7 total balls bag 2 2 red ,4 black = 6 total balls select 1 bag at…

Q: A bag contains 10 red pens and 5 blue pens. If a student picks 2 pens from the bag, find the…

Q: A basket contains 8 red apples and 6 yellow apples. A sample of 3 apples isdrawn without…

A: From the provided information,A basket contains 8 red apples and 6 yellow apples. Total apples = 14A…

Q: bag contains different color marbles, 4 blue marbles, 7 yellow marbles, 5 red marbles, and 2…

A: The probability of getting a green marble is p = 2/16 p = 0.125 n = 36

Q: In a room of 42 people , there are 16 boys and 26 girls. 8 boys and 12 girls are wearing a school…

A: Given that In a room of 42 people , there are 16 boys and 26 girls. 8 boys and 12 girls are wearing…

Q: From a bag containing 4 black balls and 5 white balls, two balls are drawn. Find the probability…

Q: contains 2 green marbles and 2 blue marbles . What is the probability of selecting 2 green marbles…

A: Total marbles=2+2=4 Green marbles=2 Blue marbles=2

Q: Select two cards from the standard deck of 52 cards with replacement. Find the probability of…

A: It is known that, Number of cards = 52 Number of king cards = 4

Q: a bag contains 6 red 5 blue and 4 yellow marbles. Two marbles are drawn, but the first marble drawn…

A: The bag contains 6 red, 5 blue and 4 yellow marbles.

Q: ix married couples are standing in a room. If 2 people are chosen at random, find the the…

A: Given data, Six married couples are standing in a room which means there are 12 people in a room. If…

Q: From a group of 4 TV critics and 8 movie critics, we randomly select 5 people. If at least 2 movie…

A: Solution-:l We have 4 TV critics and 8 movie critics We randomly select 5 people If at least 2…

Q: A doctor has 3 doses of flu protection vaccine left. He has 5 women and 9 men who want the…

A: GivenNo.of women = 5No.of men = 9Total no.of people = 14No.of doses doctor have=3

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: Find the probability distribution for the number of dance collections when 3 collections are…

A: Let X be a random variable which represents the number of dance collections when 3 collections are…

Q: In deandres cooler there are 5 bottles of soda and 4 bottles of water. Deandre is going to choose 5…

A: Probability is equal to the number of favorable outcomes divided by the total number of possible…

Q: A box has 12 balls, 4 are red and 8 are green. Randomly choose 3 balls from the box without…

A: We have given that, Total balls = 12 Red balls = 4 Green balls = 8 Then, We will find the…

Q: four people are selected for a committee from 6 Democrats and 4 Republicans. What is the probability…

A: The given question is based on permutation and combination Given: n=10 Democrats=6 Republicans=4 4…

Q: A teacher chooses 4 different students to answer questions. There are 21 sophomores and 8 freshman.…

A: Given, No. of shopemores=21 No. of freshman=8 Total number of students=21+8=29 No. of students…

Q: A bag containing marbles has 4 red, 5 green and 6 yellow marbles. What is the probability of…

A: Given Data: n(R)=4 n(G)=5 n(Y)=6 Total=6+5+4=15

Q: There are 6 oranges, 5 apples and 5 mangoes on the basket. Sam got two fruits at random without…

A: 6 oranges 5 apples 5 mangoes ________________ 16 total fruits

Q: Cymond, Curt and Jam each randomly pick a movie from 7 choices. What is the probability that they…

A: Given info: Cymond, Curt and Jam each randomly pick a movie from 7 choices.

Q: selected bag, one ball is drawn.Find the probability that the ball drawn is red.

Q: A committee of 5 people is to be formed from 12 males and 15 females. Determine the probability that…

Q: There is a box of collections that consists of three Hip Hop collections, five classical…

A: Let X be a random variable which represents the number of dance collections when 3 collections are…

Q: A grocery store had 10 cartons of milk, 2 of which are strawberry flavored. If you are going to buy…

A: Given A grocery store had 10 cartons of milk, 2 of which are strawberry flavored. If you are going…

Q: A basket contains 27 good apples and 3 bad ones. What is the probability of choosing a bad apple?

A: Given that Total number of apples=27+3=30 27 good apples and 3 bad apples.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

There are 6 children in a family - 2 boys and 4 girls. Every weekend, two of them are randomly selected by their mother to help with the grocery shopping. What is the probability that one boy and one girl will be selected?Please include your solution
Out of the 315 homes that habitat for humanity built after a hurricane, 70 have tested positive for corrosion. If 3 houses are randomly selected, find the probability that 2 test positive for corrosion and 1 does not.
Find the probability of selecting 2 woman when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.
In the US Congress, the Senate consists of 13 women and 87 men. The President randomly selects members of the Senate to sit in on his meetings. What is the probability of selecting 3 consecutive women? After selecting each person, you do not place them back in the selection pool.
A store has 4 red sport cars and 5 white sports car for sale. If two customers purchased a car, find the probability that one of each car was purchased.
If a student randomly guesses at 18 multiple-choice questions, find the probability that the student gets at least 1 correct. Each question has 5 possible choices.
A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red.
person draws 3 cards without replacement from a standard 52-card deck. Find the probability of drawing exactly two black cards.
A bag contains an equal number of pieces of candy for 6 candy colors. What is the probability of drawing either a yellow candy or a blue candy when drawing a single piece of candy from the bag?