A hat contains four marbles: 1 yellow, 1 red, 1 blue, and 1 green. Two marbles are to be randomly selected without replacement from the hat. a) Determine the number of sample points in the sample space. b) Construct the tree diagram showing all the possible outcomes. c) List the sample space. d) Determine the probability of selecting exactly 1 red marble. e) Determine the probability of selecting at least 1 marble that is not red. f) Determine the probability of selecting no green marbles

A hat contains four marbles: 1 yellow, 1 red, 1 blue, and 1 green. Two marbles are to be randomly selected without replacement from the hat. a) Determine the number of sample points in the sample space. b) Construct the tree diagram showing all the possible outcomes. c) List the sample space. d) Determine the probability of selecting exactly 1 red marble. e) Determine the probability of selecting at least 1 marble that is not red. f) Determine the probability of selecting no green marbles

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: There are 4 quarters and 2 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If…

Q: Sophia has three tickets to a concert. Yolanda, Mike, Kevin, and Marissa have all stated they would…

A: S={(Mike,Kevin),(Mike,Yolanda ),(Mike,Marissa),(Yolanda,Kevin),(Yolanda, Marissa),(Kevin,Marissa)}

Q: At an investment bank, 75% of the clients have at least 1m in their account.Futhermore suppose that…

A: It is given that 75% of the clients have at least 1m in their accounts. Further, 60% personally…

Q: 4.) Boys and Girls. A couple plans to have two children. Determine the number of points in the…

A: We have given that the couple plans to have two children.

Q: A woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1 shirt, 1 skirt,…

A: Provided data is, woman owns 18 shirts, 10 skirts, and 14 pairs of shoes. She will randomly select 1…

Q: Find the number of possible outcomes in the sample space. You flip two coins and roll a six-sided…

A: First, we need to identify the number of outcomes for each event. In this case, we have two events:…

Q: A hat contains four marbles: 1 yellow, 1 red, 1 blue, and 1 green. Two marbles are to be randomly…

A: Note: As per my policy i can answer only three sub parts. kindly repost the remaining sub parts.…

Q: Consider a kindergarten class with four left-handed children and six right-handed children. Two…

Q: Tyler decides which type of pizza to order. The choices for crust are thin crust or regular crust.…

A: The objective of this question is to determine the total number of possible outcomes in the sample…

Q: all cyclist who competed in a race were given a drug test of the 16 who tested positive, 2 finished…

A: Given information is, cyclists tested positive, and of those that finished at the top cyclists…

Q: A vet wants to determine which of two brands of flea treatment is best for the cats in the shelter.…

A: In random assignment of treatments, the elements for a particular treatment are taken randomly from…

Q: In Africa 3out of every 10 people attend church.if 2000 people in Africa were chosen at random how…

A: Expected value can be obtained using this formula:Let Expected value = E E= n • pwhere:n = number of…

Q: Logan walks his dog every day. They walk by the river five days a week, and they walk around the…

A: From the above problem, now represent tte situation

Q: Pablo randomly picks four marbles from a bag of nine marbles (five red ones, three green ones, and…

A: Given,no.of red marbles =5no.of green marbles=3no.of yellow marbles=1total n.of marbles =9

Q: Next year, you will be taking three college courses, English 101, Math 101, and History 102. The…

A: Please find attached the solution in the second step

Q: An urn contains 7 yellow chips, 4 white chips, and 10 green chips. Four chips are to be selected one…

A: We know that there are 7 yellow, 4 white and 10 Green balls. Four cards are drawn one by one without…

Q: There are 10 male dogs, 14 females dogs, 6 pointer dogs, and 18 retrievers. If one dog is ramdomle…

Q: A family wants to adopt pets from the local animal rescue. They have prepared a final list of five,…

A: Note:Hey there! Thank you for the question. As your question contains more than three parts,…

Q: Next year, you will be taking three college courses, English 101, Math 101, and History 102. The…

A: Here's a tree diagram that represents the different ways you could take the three college courses…

Q: A restaurant offers 3 different side dishes: corn, rice, and beans. A customer must select two…

A: Let us denote C=corn , R=rice , B=beans "Here the arrangement of the order does not matter,…

Q: A multiple choice test consists of 12 questions, each question has three choices. If a student…

A: From the provided information, A multiple choice test consists of 12 questions that is n = 12 Each…

Q: A bag contains six batteries, all of which are the same size and are equally likely to be selected.…

Q: A drawer contains 4 black socks and 3 white socks. You reach in blindly and pick out 2 socks. a)…

A: Given information: Number of black socks, b = 4 Number of white socks, w = 3 Total number of socks,…

Q: An urn contains 3 red balls, 7 white balls, and 5 blue balls. Two are drawn random balls. a)…

A: Given Information: An urn contains 3 red balls, 7 white balls, and 5 blue balls. Total number of…

Question

100%

A hat contains four marbles: 1 yellow, 1 red, 1 blue, and 1 green. Two marbles are to be
randomly selected without replacement from the hat.
a) Determine the number of sample points in the sample space.
b) Construct the tree diagram showing all the possible outcomes.
c) List the sample space.
d) Determine the probability of selecting exactly 1 red marble.
e) Determine the probability of selecting at least 1 marble that is not red.
f) Determine the probability of selecting no green marbles

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:-

Step 2:-(a)

Step 3

Step 4:-(c)

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A personal computer manufacturer buys 38% of its chips from Japan and the rest from America. Of the Japanese chips, 2% are defective, whereas 3% of the American chips are defective. Set up a tree diagram. a) Find the probability that a chip is not defective. b) Find the probability that a chip is defective and came from Japan. c) Given that a chip is defective what is the probability it came from America.
Consider a preschool class with four left-handed children and six right-handed children. Two children are selected without replacement. Let X be the number of left-handed children chosen.a)Find the probability noleft-handed children are chosen.b)Find the probability twoleft-handed children are chosen.c)Find the probability exactly one left-handed child is chosen.
A child is building a tower with colored bricks. She has 22 bricks: 6 yellow, 6 blue, 1 green, and 9 red. She selects a brick at random to stack on the tower. Enter all answers as decimals and round to four places.
A child is playing with number blocks. She has nine blocks, numbered 1 through 9. a) If she selects three blocks at random from the nine blocks and puts them to the side, what is the probability that she selects the 1, 2, and the 3? b) If she selects three blocks at random from the nine blocks, and lines them up to make a three digit number, how many possible three-digit numbers are there?
Suppose you are the president of the student government. You wish to conduct a survey to determine the student body's opinion regarding student services. The administration provides you with a list of the names and phone numbers of thE 731 registered students. Obtain this sample using the portion of the random number table provided in the problem statement. Start with the first column of the first row and work down each column. Type the numbers corresponding to the students chosen. enter your response here (Use a comma to separate answers as needed.) random number table 90279, 9589802995, 4831398541, 7094488592, 7953872868, 2655418909, 2433671255, 7867063390, 9301465701, 1124677814, 33522
A bag contains 5 red, 4 white, and 6 blue marbles. four marbles are chosen at random, find the following P (with all three colors)
Solve subparts c ,d and e
Jamal has five comic books, four novels, and three biographies. He wants to choose one comic book, one novel, and one biography randomly. How many total outcomes are in this sample space?
Alice has a garden containing 9 carnations, 12 roses, and 6 dahlias. Alice randomly selects 6 of these flowers to give to her math teacher. Let X = the number of the selected flowers which are roses.a. a) How many possible ways are there to select the 6 out of 27 flowers (order does not matter) without replacement? b. What is the probability that X = 6 c. What is the probability that X=3? d. What is the probability that X > 3? e. What is the expected value of X? f. What is the standard deviation of X? g. What is the probability that X is within 1.0 standard deviation of its expected value? h. What is the probability that X = 2.6667? Add any comments below.