Mathematics All Around (6th Edition)
6th Edition
ISBN: 9780134434681
Author: Tom Pirnot
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13.4, Problem 8E
To determine
To Calculate:
The expected value for the game and the price of the game to make the game fair.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A game costs $2.00 to play. In the game, the player picks a card at random from a standard deck of cards. If the card is a face card, the player receives $6.00, if the card is not a face card, the player receives nothing.
A game involves drawing a single card from a standard deck. The player receives $10 for an ace, $5 for a king, and $1 for a red card that is neither an ace nor a king. Otherwise, the player receives nothing. If the cost of each draw is $2, should you play? Explain your answer mathematically.
A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots. Whatever is listed in that spot will be the player's winnings. If the wheel has 20 spots labeled $1, 13 spots labeled $2, and 2 spots labeled $10, how much should a player expect to win on average?
Round to the nearest cent.
Your Answer:
Chapter 13 Solutions
Mathematics All Around (6th Edition)
Ch. 13.1 - In Exercises 14 , write each event as a set of...Ch. 13.1 - In Exercises 14 , write each event as a set of...Ch. 13.1 - In Exercises 14 , write each event as a set of...Ch. 13.1 - Prob. 4ECh. 13.1 - In Exercises 58, use the given spinner to write...Ch. 13.1 - Prob. 6ECh. 13.1 - In Exercises 58, use the given spinner to write...Ch. 13.1 - In Exercises 58, use the given spinner to write...Ch. 13.1 - We are rolling two four-sided dice having the...Ch. 13.1 - We are rolling two four-sided dice. One die has...
Ch. 13.1 - Singers E nrique, K aty, R ihanna, and B runo are...Ch. 13.1 - We are flipping four coins. Outcomes in the sample...Ch. 13.1 - An experimenter testing for extrasensory...Ch. 13.1 - Choosing seats in a theater. Amy and Louisa are...Ch. 13.1 - In Exercises 1518, a Find the probability of the...Ch. 13.1 - In Exercises 1518, a Find the probability of the...Ch. 13.1 - In Exercises 1518, a Find the probability of the...Ch. 13.1 - Prob. 18ECh. 13.1 - In Exercises 1922, assume that we are drawing a...Ch. 13.1 - Prob. 20ECh. 13.1 - In Exercises 1922, assume that we are drawing a...Ch. 13.1 - Prob. 22ECh. 13.1 - The residents of a small town and the surrounding...Ch. 13.1 - The residents of a small town and the surrounding...Ch. 13.1 - Applying What Youve Learned The residents of a...Ch. 13.1 - Applying What Youve Learned The residents of a...Ch. 13.1 - Gender and probability. In a given year, 2,048,861...Ch. 13.1 - Playing a carnival game. A fish pond at a carnival...Ch. 13.1 - Selecting cookies. In Exercises 2932, a cookie is...Ch. 13.1 - Selecting cookies. In Exercises 2932, a cookie is...Ch. 13.1 - Selecting cookies. In Exercises 2932, a cookie is...Ch. 13.1 - Prob. 32ECh. 13.1 - Genetics. The following table lists some of the...Ch. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - In cross-breeding snapdragons, Mendel found that...Ch. 13.1 - In cross-breeding snapdragons, Mendel found that...Ch. 13.1 - Cystic fibrosis. Cystic fibrosis is a serious...Ch. 13.1 - Cystic fibrosis. From the Punnett square in...Ch. 13.1 - For Exercises 4144, assume that a dart is thrown...Ch. 13.1 - For Exercises 4144, assume that a dart is thrown...Ch. 13.1 - Prob. 43ECh. 13.1 - Prob. 44ECh. 13.1 - Grades and living arrangements. Assume that the...Ch. 13.1 - Prob. 46ECh. 13.1 - Use this replica of the Monopoly game board to...Ch. 13.1 - Prob. 48ECh. 13.1 - Prob. 49ECh. 13.1 - Prob. 50ECh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - Prob. 54ECh. 13.1 - Use spinners A, B, and C below to do Exercises 55...Ch. 13.1 - Use spinners A, B, and C below to do Exercises 55...Ch. 13.1 - In horse racing, a trifecta is a race in which you...Ch. 13.1 - In horse racing, a trifecta is a race in which you...Ch. 13.1 - If the odds against event E are 5 to 2, what is...Ch. 13.1 - If P(E)=0.45, then what are the odds against E?Ch. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - Prob. 64ECh. 13.1 - The casino game of craps is played by a person...Ch. 13.1 - Prob. 66ECh. 13.1 - Winning at Powerball. Research and find the...Ch. 13.1 - Prob. 68ECh. 13.1 - Prob. 69ECh. 13.1 - Prob. 70ECh. 13.1 - Prob. 71ECh. 13.1 - Prob. 72ECh. 13.1 - Prob. 73ECh. 13.1 - Explain the difference between the probability of...Ch. 13.1 - Prob. 75ECh. 13.1 - Prob. 76ECh. 13.1 - Prob. 77ECh. 13.1 - Prob. 78ECh. 13.1 - Prob. 79ECh. 13.1 - Prob. 80ECh. 13.1 - a. Flip a coin 100 times. How do your empirical...Ch. 13.1 - Prob. 83ECh. 13.2 - In Exercises 18, use the complement formula to...Ch. 13.2 - In Exercises 18, use the complement formula to...Ch. 13.2 - In Exercises 18, use the complement formula to...Ch. 13.2 - In Exercises 18, use the complement formula to...Ch. 13.2 - In Exercises 58, consider the complement of the...Ch. 13.2 - In Exercises 58, consider the complement of the...Ch. 13.2 - In Exercises 58, consider the complement of the...Ch. 13.2 - In Exercises 58, consider the complement of the...Ch. 13.2 - Drawing cards. If a single card is drawn from a...Ch. 13.2 - Drawing cards. If a single card is drawn from a...Ch. 13.2 - Probability and the weather. If the probability of...Ch. 13.2 - Prob. 12ECh. 13.2 - In Exercises 1316, assume that A and B are events....Ch. 13.2 - In Exercises 1316, assume that A and B are events....Ch. 13.2 - In Exercises 1316, assume that A and B are events....Ch. 13.2 - In Exercises 1316, assume that A and B are events....Ch. 13.2 - Assume that P(A)=0.45,P(AB)=0.15, and the...Ch. 13.2 - Prob. 18ECh. 13.2 - Use the following table from the U.S. Bureau of...Ch. 13.2 - Use the following table from the U.S. Bureau of...Ch. 13.2 - Income and internet usage. Use the following table...Ch. 13.2 - Income and internet usage. Use the following table...Ch. 13.2 - Income and internet usage. Use the following table...Ch. 13.2 - Income and internet usage. Use the following table...Ch. 13.2 - Part-time work and time to graduate. The following...Ch. 13.2 - Prob. 26ECh. 13.2 - Part-time work and time to graduate. The following...Ch. 13.2 - Prob. 28ECh. 13.2 - If we draw a card from a standard 52-card deck,...Ch. 13.2 - Prob. 30ECh. 13.2 - Prob. 31ECh. 13.2 - Predicting final exam questions. From studying...Ch. 13.2 - A college administration has conducted a study of...Ch. 13.2 - A college administration has conducted a study of...Ch. 13.2 - A college administration has conducted a study of...Ch. 13.2 - A college administration has conducted a study of...Ch. 13.2 - Selling defective cameras. A manufacturer has...Ch. 13.2 - Winning a raffle. The 35-member college ski club...Ch. 13.2 - Serving spoiled food. The Sashimi restaurant has...Ch. 13.2 - Winning a prize. Eighteen students are being...Ch. 13.2 - Prob. 41ECh. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - If P(EF)=P(E)+P(F), what can you conclude about...Ch. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.2 - Prob. 47ECh. 13.2 - Prob. 48ECh. 13.2 - Prob. 49ECh. 13.2 - Prob. 50ECh. 13.2 - Prob. 51ECh. 13.2 - Prob. 52ECh. 13.2 - Prob. 53ECh. 13.2 - Prob. 54ECh. 13.3 - In Exercises 14, assume that we are rolling two...Ch. 13.3 - In Exercises 14, assume that we are rolling two...Ch. 13.3 - In Exercises 14, assume that we are rolling two...Ch. 13.3 - In Exercises 14, assume that we are rolling two...Ch. 13.3 - In Exercises 58, we are drawing a single card from...Ch. 13.3 - In Exercises 58, we are drawing a single card from...Ch. 13.3 - In Exercises 58, we are drawing a single card from...Ch. 13.3 - In Exercises 58, we are drawing a single card from...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - You are to randomly pick one disk from a bag that...Ch. 13.3 - Probability and drawing cards. In Exercises 1520,...Ch. 13.3 - Probability and drawing cards. In Exercises 1520,...Ch. 13.3 - Probability and drawing cards. In Exercises 1520,...Ch. 13.3 - Prob. 18ECh. 13.3 - Probability and drawing cards. In Exercises 1520,...Ch. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - We are drawing 2 cards with replacement from a...Ch. 13.3 - For Exercises 2326, assume that you are drawing...Ch. 13.3 - For Exercises 2326, assume that you are drawing...Ch. 13.3 - For Exercises 2326, assume that you are drawing...Ch. 13.3 - For Exercises 2326, assume that you are drawing...Ch. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - Prob. 30ECh. 13.3 - The editors of Auto Web have evaluated several E...Ch. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - In Exercises 3540, an experiment and two events...Ch. 13.3 - According to U.S. government statistics,...Ch. 13.3 - Prob. 42ECh. 13.3 - According to U.S. government statistics,...Ch. 13.3 - Prob. 44ECh. 13.3 - Probability and political preferences. The...Ch. 13.3 - Prob. 46ECh. 13.3 - Probability and political preferences. The...Ch. 13.3 - Prob. 48ECh. 13.3 - Prob. 49ECh. 13.3 - Prob. 50ECh. 13.3 - Prob. 51ECh. 13.3 - Prob. 52ECh. 13.3 - Prob. 53ECh. 13.3 - Prob. 54ECh. 13.3 - Prob. 55ECh. 13.3 - Prob. 56ECh. 13.3 - Selecting a dormitory room. Exercises 57 and 58...Ch. 13.3 - Prob. 58ECh. 13.3 - Prob. 59ECh. 13.3 - Prob. 60ECh. 13.3 - Prob. 61ECh. 13.3 - Prob. 62ECh. 13.3 - Prob. 63ECh. 13.3 - Prob. 64ECh. 13.3 - Product reliability. You want to purchase a DVD...Ch. 13.3 - Prob. 66ECh. 13.3 - Product reliability. You want to purchase a DVD...Ch. 13.3 - Prob. 68ECh. 13.3 - Prob. 69ECh. 13.3 - Prob. 70ECh. 13.3 - Prob. 71ECh. 13.3 - Prob. 72ECh. 13.3 - Prob. 73ECh. 13.3 - Prob. 74ECh. 13.3 - Prob. 75ECh. 13.3 - Prob. 76ECh. 13.3 - Prob. 77ECh. 13.3 - Prob. 78ECh. 13.3 - Prob. 79ECh. 13.3 - Prob. 80ECh. 13.3 - Prob. 81ECh. 13.3 - Prob. 82ECh. 13.3 - Prob. 83ECh. 13.4 - In Exercises 1 and 2, we give the probabilities...Ch. 13.4 - In Exercises 1 and 2, we give the probabilities...Ch. 13.4 - In Exercises 3 and 4, you are playing a game in...Ch. 13.4 - In Exercises 3 and 4, you are playing a game in...Ch. 13.4 - In Exercises 5and 6, you pay 1 to play a game in...Ch. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - In Exercises 912, first calculate the expected...Ch. 13.4 - Prob. 10ECh. 13.4 - In Exercises 912, first calculate the expected...Ch. 13.4 - In Exercises 912, first calculate the expected...Ch. 13.4 - Evaluating a franchises profits. Grace Adler is...Ch. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - In Exercises 1518, we describe several ways to bet...Ch. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - In Exercises 1922, a student is taking the GRE,...Ch. 13.4 - Prob. 20ECh. 13.4 - In Exercises 1922, a student is taking the GRE,...Ch. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Assume that you have 10,000 to invest in stocks,...Ch. 13.4 - Prob. 25ECh. 13.4 - Assume that you have 10,000 to invest in stocks,...Ch. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Your insurance company has a policy to insure...Ch. 13.4 - Assume that you have a used car worth 6,500 and...Ch. 13.4 - A company estimates that it has a 60 chance of...Ch. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Beating the lottery. Search online for...Ch. 13.4 - Prob. 39ECh. 13.4 - Estimating daily profit. Mike sells the Town...Ch. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - Prob. 44ECh. 13.5 - In Exercises 16, determine whether each experiment...Ch. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - Prob. 5ECh. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - Prob. 10ECh. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - Prob. 13ECh. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Prob. 19ECh. 13.5 - Prob. 20ECh. 13.5 - Prob. 21ECh. 13.5 - Prob. 22ECh. 13.5 - Prob. 23ECh. 13.5 - Prob. 24ECh. 13.5 - Prob. 25ECh. 13.5 - Assume that a child is buying packages of candy...Ch. 13.5 - Prob. 27ECh. 13.5 - Prob. 28ECh. 13.5 - Prob. 29ECh. 13.5 - Prob. 30ECh. 13.CR - 1. Describe each event as a set of outcomes. a....Ch. 13.CR - If a single card is selected from a standard...Ch. 13.CR - Explain the difference between empirical and...Ch. 13.CR - 4. In cross-breeding pea plants, Mendel found that...Ch. 13.CR - Prob. 5CRCh. 13.CR - Prob. 6CRCh. 13.CR - Prob. 7CRCh. 13.CR - Prob. 8CRCh. 13.CR - Explain in your own words what we mean by...Ch. 13.CR - Prob. 10CRCh. 13.CR - Prob. 11CRCh. 13.CR - Prob. 12CRCh. 13.CR - Prob. 13CRCh. 13.CR - Prob. 14CRCh. 13.CR - Prob. 15CRCh. 13.CR - You are playing a game in which four fair coins...Ch. 13.CR - Calculate B(8,3;12).Ch. 13.CR - Prob. 18CRCh. 13.CT - Describe each event as a set of outcomes. a. When...Ch. 13.CT - 2. If we select a single card from a standard...Ch. 13.CT - 3. a. If the odds against the Dolphins winning the...Ch. 13.CT - 4. If we draw a single card from a standard...Ch. 13.CT - Prob. 5CTCh. 13.CT - Prob. 6CTCh. 13.CT - Prob. 7CTCh. 13.CT - Prob. 8CTCh. 13.CT - Prob. 9CTCh. 13.CT - Prob. 10CTCh. 13.CT - Prob. 11CTCh. 13.CT - Prob. 12CTCh. 13.CT - It costs 2 to buy a raffle ticket. If there are...Ch. 13.CT - Prob. 14CTCh. 13.CT - 15. Assume that 2 cards are drawn without...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Suppose that you roll two dice. He will be paid five dollars if you wrote a double. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of rolling the dice? Answer choices: $0.28 $5.00 $0.14 $0.69 $0.83arrow_forwardSuppose that you and a friend are playing cards and decide to make a bet. If you draw two clubs in succession from a standard deck of 52 cards without replacing the first card, you win $40. Otherwise, you pay your friend $10. If the same bet was made 25 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary. Win: Lose:arrow_forwardSuppose that you and a friend are playing cards and decide to make a bet. If your friend draws two spades in succession from a standard deck of 52 cards replacing the first card, you give him $50. Otherwise, he pays you $10. If the same bet was made 30 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary.arrow_forward
- A game consists of rolling a colored die with three red sides, two green sides, and one blue side. A roll of red loses. A roll of green pays $2.00. A roll of blue pays $5.00. The charge to play the game is $2.00. Would you play the game? Why or why not?arrow_forwardYou are playing a game in which a single die is rolled. If a 2 or a 5 come up, you win $60; otherwise, you lose $3. What is the price that you should pay to play the game that would make the game fair?arrow_forwardYou pay $20 to enter a raffle. The first ticket drawn wins $990, the second ticket drawn wins $465, the third through fifth win $203, and the sixth through tenth win $49. Suppose 2032 tickets were sold. What is the expected earning on your ticket?arrow_forward
- Suppose a student is offered a chance to draw a card from an ordinary deck of 52 playing cards and win $24 for an ace, $11 for a king, and $4 for a queen. If the student pays $5 to play the game, what is the amount the student expects to win each time?$arrow_forwardSuppose you decided to play a gambling game. In order to play the game there is a $1.50 dollar fee to play. If you roll a 1, 2, or 3 you win nothing (i.e., your net profit is $-1.5 dollars). If you roll a 4 or 5, you win $2.50 (i.e., your net profit is $1). If you roll a 6 you win $5.75 (i.e., your net profit is $4.25).a) Use the information described above to constuct a probability distribution table for the random variable xx which represents the net profit of your winnings. Note: Be sure to enter your probabilities as reduced fractions. xx P(x)P(x) (You roll a 1,2,or 3) (You roll a 1,2, or 3) (You roll a 4 or 5) (You roll a 4 or 5) (You roll a 6) (You roll a 6) b) Find the amount you would expect to win or lose each time you played the game. Round your final answer to two decimal places.μ=arrow_forwardIn the game "Rolling for Rubles", you win $1 for rolling a 1, $2 for a 2 and so on till $6 for rolling a 6. What would be the fair price for a ticket to play this game? $2.50 $3 $4 $4.50 $3.50 None of the other answers is correct.arrow_forward
- Suppose you decided to play a gambling game. In order to play the game there is a $1.50 dollar fee to play. If you roll a 1, 2, or 3 you win nothing (i.e., your net profit is $-1.50). If you roll a 4 or 5, you win $3.50 (i.e., your net profit is $2.00). If you roll a 6 you win $5.00 (i.e., your net profit is $3.50).Use the information described above to construct a probability distribution table for the random variable xx which represents the net profit of your winnings. Note: Be sure to enter your probabilities as reduced fractions. Die Roll xx P(x) Roll a 1, 2, or 3 Roll a 4 or 5 Roll a 6 Find the amount you would expect to win or lose each time you played the game. Round your final answer to two decimal places.μ=arrow_forwardPlease answer the question below. SHOW ALL WORK! A bag has 6 red marbles, 3 blue marbles, and 1 orange marble. In a game to raise money for a class trip; parents pay $5 and pull a marble randomly from the bag. The payout is $10 for pulling an orange marble, $4 for a blue marble, and $1 for a red marble. How much can the class expect to earn per game?arrow_forwardA restaurant hands out a scratch-off game ticket with prizes being worth purchases at the restaurant.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License