high school class consists of 6 seniors, 10 juniors, 13 sophomores, and 3 freshmen. Exactly 4 of the juniors are female, and exactly 5 of the sophomores are male. If two students are randomly selected from this class, what is the probability that the pair consists of a

high school class consists of 6 seniors, 10 juniors, 13 sophomores, and 3 freshmen. Exactly 4 of the juniors are female, and exactly 5 of the sophomores are male. If two students are randomly selected from this class, what is the probability that the pair consists of a

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: If two cards are drawn without replacement from an ordinary deck, find the probability of a king…

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

Q: Urn A contains 3 white, 5 red and 2 black marbles. Another urn B contains 3 white, 2 red and 2 black…

A: Ans#- Given, Urn A contains 3 white, 5 red and 2 black marbles. Another urn B contains 3…

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: Assume that you select 2 coins at random from 8 coins: 3 dimes and 5 quarters. What is the…

Q: 13) School 1 claims that it is a much better school than School 2. As the reason, School 1 refers to…

A: Value claims are argumentive statements concerning pros and cons on something that is subjective to…

Q: A class has 20 students, 5 boys while the remaining students are girls. They are randomly divided…

A: Given information- We have given that a class has 20 students. No. of boys = 5 No. of girls = 15 We…

Q: n a fish tank, there are 27 goldfish, 4 angelfish, and 16 guppies. If a fish is selected at random,…

A: A is an event of n equally likely outcomes of an experiment. If n(A) is the number of events…

Q: A physics class has 50 students. Of these, 13 students are physics majors and 18 students are…

A: It is given that the number of students in physics class is 50. Among that the physics majors are 18…

Q: Given a group of 9 men and 11 women, find the probability of selecting a committee of 4 that has…

Q: A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is…

A: Bag contain 2 red, 4 yellow, and 6 pink roses. Two roses are selected at random.

Q: A club of 27people consists of 14 men and 13 women. A team of 9 is randomly selected from the club.…

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: . Find the probability that you get exactly 14 green cubes and exactly 12 orange cubes.

Q: In a class of 15 students there are 5 boys and 10 girls If a committee of 6 students is selected at…

A: 5 - boys 10 - girls ____________ 15 - students in class select committee of 6 students. p( 3 boys…

Q: A bag contains 6 nickels, 2 dimes, and 3 quarters. If you draw 3 coins at random from the bag,…

A: The total number of the coin is = 6 + 2 + 3 = 11

Q: In a class of 10 students there are 4 boys and 6 girls. If a committee of 3 students is selected…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a…

A: Given,Mean μ = 88Standard deviation σ = 0.6

Q: Suppose an animal shelter has 10 cats and 8 rabbits. One day, 3 of these animāls are chosen (in an…

Q: 60 boys and 20 girls are there in a class. Half of the boys and half of the girls of the class play…

A: There are 60 boys and 20 girls in the class. Half of the boys and half of the girls of class play…

Q: Perform the experiment, tally your results, and calculate the probability. Simultaneously toss a…

A: From the definition of probability, if an experiment can occur in any of n mutually exclusive and…

Q: In a class there are 18 boys and 12 girls. One child is chosen at random to represent the class.…

A: Answer: The number of boys in a class is 18 and the number of girls in a class is 12. Total number…

Q: A box contains 4 white, 2 red and 4 black balls. Another contains 1 white, 4 red and 3 black balls.…

Q: An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,…

A: The objective of this question is to find the probability of a specific sequence of events…

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

Q: A pet store has 7 puppies, including 3 poodles, 2 terriers, and 2 retrievers. If Rebecka and Aaron,…

A: Total number of puppies = 7 Number of Poodles = 3 Number of Terriers = 2 Retrievers = 2 Selecting…

Q: A science class has 3 girls and 9 boys in seventh grade and 5 girls and 3 boys in eighth grade. The…

A: Given In seventh grade=3 girls,9 boys In eighth grade=5 girls,3 boys

Q: A box contains 4 blue marbles, 5 green marbles and 8 red marbles. A marble is picked from the bag at…

A: Given: Total number of marbles in the box is 17 (4 blue marbles, 5 green marbles and 8 red marbles)

Q: class consists of 50 women and 21 men. If a student is randomly selected, what is the probability…

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

Q: A cooler contains 100 ice cream bars. There are 30 Vanilla bars, 20 Mint Chocolate Chip bars,10…

A: Given :- Number of ice cream bars a cooler contains = 100. Number of vanilla bars = 30 Number of…

Q: A city council consits of five Democrats and five Republicans. If a committee of six people is…

A: Basics:

Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

Q: You have a bag of 1 gold coin, 2 red coins and 3 blue coins and you can only select two at random to…

A: Given that the bag contains 1 gold coin, 2 red coins and 3 blue coins. And two coins are selected at…

Q: A bag contains 7 RED beads, 8 BLUE beads, and 5 GREEN beads. If a single bead is picked at random,…

A: No.of red beads=7no.of blue beads=8no.of green beads=5Total no.of beads=20

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

Question

A high school class consists of

seniors,

juniors,

sophomores, and

freshmen. Exactly

of the juniors are

female,

and exactly

of the sophomores are

male.

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

male

junior and a

female

sophomore?

As a fraction in its simplest form.

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

Ana has a team composed of ten juniors and twelve sophomores. What is the probability that a committee of five, chosen from the team will consist of two juniors and three sophomores?
The mathematics department of a college has 8 male professors, 11 female professors, 14 male teaching assistants, and 7 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a professor or a female.
In a drawer, there are 11 pairs of socks, 6 of which are white. If you randomly select two pairs of socks, what is the probability that both are white? Express your answer as a reduced fraction.
Three Bananas and three oranges are kept in a box. If two fruits are chosen at random, Find the probability that one is Banana and another one is orange?
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?
A jar contains 2 red marbles, 9 green marbles, and 8 blue marbles. what is the probability that you draw 5 green marbles in a row if you DO replace the marbles after each draw?
The mathematics department of a college has 6 male professors, 11 female professors, 10 male teaching assistants, and 12 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female.
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?