A high school class consists of5seniors,10juniors,13sophomores, and4freshmen. Exactly4of the juniors aremale,and exactly5of the sophomores arefemale.If two students are randomly selected from this class, what is the probability that the pair consists of afemalejunior and amalesophomore?

Answered: Image /qna-images/answer/9f628a60-61ee-4a6a-97d2-8469d90b43cd.jpg

Answered: high school class consists of 5…

high school class consists of 5 seniors, 10 juniors, 13 sophomores, and 4 freshmen. Exactly 4 of the juniors are male, and exactly 5 of the sophomores

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: In a class of 26 students, 8 have a brother and 6 have a sister. There are 2 students who have a…

A: Given:-

Q: A box contains 12 chocolates: 5 dark chocolates, 4 milk chocolates, and 3 white chocolates. If two…

Q: In a class of 22 students, 5 have a brother and 13 have a sister. There are 2 students who have a…

A: class of 22 students 5 have brother 13 have sister 2 have brother and sister P(have sister | have…

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable n=4 p=0.14 X~ Binomial (4, 0.14)

Q: A box has 34 orange hats and 13 yellow hats. If you pick 3 hats without replacemen

A: Given Data population size, N = 34+13 = 43 number of successes, m = 34 sample…

Q: A jar contains 12 marbles: four red, five blue, and three orange. If you pull three marbles without…

Q: A committee of two people needs to be chosen. There are two men and six women available to serve on…

Q: Two teams of 10 players are created from a group of 20 people. Suppose you and your friend are in…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: A bag contains 10 red marbles, 6 blue marbles, and 4 green marbles. If three marbles are drawn…

A: 10 red marbles 6 blue marbles 4 green marbles ____________________ 20 total marbles select 3…

Q: From a group of 11 people, you randomly select 2 of them.What is the probability that they are the 2…

A: Combination: A combination is a selection of objects without considering the order.Let n be the…

Q: There are three classes, each consisting of 20 students. From this group of 60 students, a group of…

A: From the provided information, There are 3 classes and each class consists of 20 students. From this…

Q: In a class of 10 students there are 7 boys and 3 girls.. If a committee of 5 students is selected…

Q: There are 15 boys and 10 girls in a class. If three students are selected at random, what is the…

A: There are 15 boys and 10 girls in a class.

Q: Two cards are drawn from a single deck of 52 cardsone after the other. If the first card is not…

A: The objective of this question is to find the probability of drawing a king on the first draw and a…

Q: A pet store has 8 puppies, including 3 poodles, 3 terriers, and 2 retrievers. If Rebecla and Aaron…

A: Given that the pet store has 8 puppies, including 3 poodles, 3 terriers, and 2 retrievers.…

Q: uppose you and your best friend are both in a group of 20 people, and five people are to be randomly…

A: Given that Suppose you and your best friend are both in a group of 20 people. Randomly selected…

Q: In a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students, what is…

A: Given that, 5 students play soccer 5 students not paly soccer Total students =10 students

Q: jar of marbles contains 5 pink, 9 green, 13 blue, and 3 orange marbles. If a marble is randomly…

A: According to the given information in this question We need to find the following probability

Q: A car rental company has 5 SUVs, 8 sedans, and 3 convertibles available for rent. If two customers…

Q: Find the probability of the first marble being green and the second marble being yellow.

A: A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. total 11…

Q: There are 20 students in a class. Arshia, Manu, and Eva from the class, are great friends. If the…

Q: A bag contains 8 red marbles, 7 green marbles, 5 blue marbles, and 6 yellow marbles. If you draw…

Q: A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of…

A: No. of red marbles=7No. of blue marbles=4No. of green marbles=5Total no. of marbles=7+4+5=16

Q: There are 14 fish in a pond: 7 trout, 4 bass, and 3 sardines. If I fish up 5 random fish, what is…

A: Given Total number of fish = 14 Trout = 7 Bass = 4 Sardines = 3

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the that 10 males 30 females Total = 40

Q: A bag contains 7 nickels, 2 dimes, and 8 quarters. If you draw 3 coins at random from the bag,…

A: Given that there are 7 nickels, 2 dimes, and 8 quarters. So total (7+2+8)=17 coins We can pick any…

Q: A bag contains 5 red smileys, 6 yellow smileys and 3 green smileys. If two smileys are picked at…

Q: One student is randomly selected at random from a class with 11 girls and 12 boys. What is the…

A: Answer: From the given data, Number of girls in the class = 11 Number of boys in the class = 12…

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

Q: A high school class consist of 6 seniors, 10 juniors, 11 sophomores, and 9 freshmen. Exactly 4 of…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: A box contains 5 apples and 6 oranges. Four children each receive a fruit from the box, one after…

A: Given: Number of apples=5 Number of oranges=6 Total number of fruits=11 The objective is to find the…

Q: If I have a bag with 3 red, 4 white, 1 green, and 2 blue marble. What is the probability that I…

Q: Of 26 students in a classroom, there are 3 females that are juniors and 8 females that are seniors.…

A: There are totally 26 students in a classroom. It is given that there are 3 females that are juniors…

Q: A class consisting of 4 graduate students and 12 undergraduate students is randomly divided into…

A: 4 graduate student I. e. A, B, C, D12 undergraduate

Q: A bag contains 9 RED beads, 4 BLUE beads, and 8 GREEN beads. If a single bead is picked at random,…

Question

A high school class consists of

seniors,

juniors,

sophomores, and

freshmen. Exactly

of the juniors are

male,

and exactly

of the sophomores are

female.

If two students are randomly selected from this class, what is the probability that the pair consists of a

female

junior and a

male

sophomore?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If two marbles are randomly drawn from the bag without replacement, what is the probability that both marbles are blue?
If Luis has 8 pairs of socks (4 white, two black, one blue, and one red), what is the probability that he randomly chooses two pairs of white socks to wear on consecutive days?
A bag contains 3 red marbles and 4 blue marbles. If a marble is selected at random from the bag, what is the probability that it is red?
There are two boxes, the first contains 5 white and 5 black balls and the second contains 7 white and 3 black balls. A ball will be selected from each box, randomly. What is the probability that the two selected balls are white?
A bag contains 3 red marbles, 5 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 100oth, that all three marbles drawn will be blue?
A group of six students is chosen at random from a list of five maths students and four psychology students. What is the probability that four maths students and two psychology students are chosen?
Bonnie and Connie are twins with identical purses. Bonnie needs 35 cents to pay for a parking meter. Suppose that Bonnie's purse has 5 quarters, 3 dimes, and 2 nickels while Connie's purse has 2 quarters, 5 dimes, and 3 nickels in it. Not being able to tell the difference between the purses, Connie picks one at random and grabs two coins from it. What is the probability that Bonnie picked her own purse given that she drew out enough change to pay for her parking meter? (Note: Bonnie needs to put in at least 35 cents to pay her parking meter.)
Michael is to randomly pick between two jars that contain coins. The first jar contains 2 pennies, 3 nickels, and 5 dimes. The second jar contains 7 pennies, 3 nickels, and 4 dimes. After a jar is selected, a coin is then picked from that jar. If the selected coin is a nickel, what is the probability that it came from the second jar?
A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of the juniors are male, and exactly 5 of the sophomores are female. If two students are randomly selected from this class, what is the probability that the pair consists of a female junior and a male sophomore?
A bag contains 3 red marbles, 5 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be blue?
A student has a total of 10 books and 3 of her books are science fiction. If she arranges them on a shelf randomly, what is the probability that the 3 science fiction books are all together?
A committee of three people is to be randomly selected from a group of 20 men and 17 women. What is the probability that all three people will be women?