Finite Mathematics and Calculus with Applications (10th Edition)
10th Edition
ISBN: 9780321979407
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Textbook Question
Chapter 8.5, Problem 17E
For the game in Example 5, find Mary’s expected payback. Is it a fair game?
EXAMPLE 5 Friendly Wager
Each clay Donna and Mary loss a coin lo see who buys coffee ($1.20 a cup). One tosses and the other calls the outcome. If the person who calls the outcome is correct. the other buys the coffee, otherwise the caller pays. Find Donna’s expected payback.
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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?
You play a game where you roll two dice. It was decided that you lose ₱500 if you get a sum of 3, 6, or 9, and you lose ₱400 if you get a sum of 10. However, you win ₱300 for anything else. If you continue to play the game, how much do you expect to win or lose in the game in the long run?
In this game, two chips are placed in a cup. One chip has two red sides
and one chip has a red and a blue side. The player shakes the cup and
dumps out the chips. The player wins if both chips land red side up and
loses if one chip lands red side up and one chip lands blue side up. The
cost to play is $4 and the prize is worth $6. Is this a fair game.
= Win a prize
= Do not win a prize
1. Start by determining the probabilities for winning a prize and not
winning a prize. Draw a probability tree to find the possible outcomes
and the probabilities. After you draw the tree, check you work by
clicking on the link below.
Click to hide hint
CHIP 1
CHIP 2
Probability
P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25
0.5
0.5
0.5
P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25
Start
0.5
0.5
P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25
0.5
P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25
Chapter 8 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
Ch. 8.1 - A combination lock can be set to open to any...Ch. 8.1 - Prob. 2YTCh. 8.1 - Prob. 3YTCh. 8.1 - Prob. 4YTCh. 8.1 - Prob. 5YTCh. 8.1 - Prob. 6YTCh. 8.1 - Prob. 7YTCh. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Prob. 3E
Ch. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10ECh. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Find the number of distinguishable permutations of...Ch. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - InvestmentsKristen Elmores financial advisor has...Ch. 8.1 - SchedulingA local television station has eleven...Ch. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Union ElectionsA chapter of union Local 715 has 35...Ch. 8.1 - Programming MusicA concert to raise money for an...Ch. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Telephone Area CodesSeveral years ago, the United...Ch. 8.1 - Prob. 46ECh. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Prob. 54ECh. 8.1 - Prob. 55ECh. 8.2 - Prob. 1YTCh. 8.2 - Prob. 2YTCh. 8.2 - Solve the problems in Example 4. EXAMPLE...Ch. 8.2 - Prob. 4YTCh. 8.2 - Prob. 5YTCh. 8.2 - Prob. 1WECh. 8.2 - Prob. 2WECh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Five cards are marked with the numbers I. 2. 3.4....Ch. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - Prob. 18ECh. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - Prob. 20ECh. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - Prob. 22ECh. 8.2 - In Exercises 17-24, decide whether each exercise...Ch. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - The following problem was posed on National Public...Ch. 8.2 - Prob. 28ECh. 8.2 - Work AssignmentsFrom a group of 8 newly hired...Ch. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Worker GrievancesA group of 9 workers decides to...Ch. 8.2 - Prob. 33ECh. 8.2 - Ice Cream FlavorsBaskin-Robbins advertises that it...Ch. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Legislative CommitteeA legislative committee...Ch. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - BaseballIf a baseball coach has 5 good hitters and...Ch. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - License PlatesOfficials from a particular state...Ch. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - AppetizersApplebees restaurant recently advertised...Ch. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.3 - Prob. 1YTCh. 8.3 - Prob. 2YTCh. 8.3 - Suppose the container in Example 3 has 4...Ch. 8.3 - In Example 4, what is the probability of a hand...Ch. 8.3 - Prob. 5YTCh. 8.3 - Prob. 6YTCh. 8.3 - Prob. 1WECh. 8.3 - If the Senate has 59 Democrats and 41 Republicans,...Ch. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - A basket contains 7 red apples and 4 yellow...Ch. 8.3 - In a club with 9 male and 11 female members, a...Ch. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Find the probability that the 2-card hand...Ch. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Twenty-six slips of paper are each marked with a...Ch. 8.3 - Prob. 20ECh. 8.3 - Twenty-six slips of paper are each marked with a...Ch. 8.3 - Prob. 22ECh. 8.3 - Discuss the relative merits of using tree diagrams...Ch. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - An elevator has 4 passengers and slops at 7...Ch. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Quality ControlA shipment of 11 printers contains...Ch. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Refer to Example 3. The managers feel that the...Ch. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - EducationEducation At a conference promoting...Ch. 8.3 - PokerFind the probabilities of the following hands...Ch. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - Prob. 52ECh. 8.3 - Prob. 53ECh. 8.3 - Prob. 54ECh. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - Prob. 67ECh. 8.3 - Prob. 68ECh. 8.3 - Prob. 69ECh. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - FootballDuring the 1988 college football season,...Ch. 8.3 - Prob. 74ECh. 8.3 - Prob. 75ECh. 8.3 - Prob. 76ECh. 8.4 - Prob. 1YTCh. 8.4 - Prob. 2YTCh. 8.4 - Prob. 3YTCh. 8.4 - Prob. 1WECh. 8.4 - Prob. 2WECh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - A die is rolled 12 times. Find the probabilities...Ch. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Business and Economics ManagementThe survey...Ch. 8.4 - Prob. 24ECh. 8.4 - Credit CardsA survey of consumer finance found...Ch. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - BirthsIn Clay County, North Carolina, 54 out of 84...Ch. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 45ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Health StudyA study is being conducted in which...Ch. 8.4 - Social Sciences 50. Women WorkingA recent study...Ch. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Prob. 53ECh. 8.4 - Prob. 54ECh. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 58ECh. 8.4 - SportsIn many spans championships, such as the...Ch. 8.5 - Prob. 1YTCh. 8.5 - Prob. 2YTCh. 8.5 - Prob. 3YTCh. 8.5 - Prob. 4YTCh. 8.5 - Prob. 5YTCh. 8.5 - Prob. 1WECh. 8.5 - Prob. 2WECh. 8.5 - Prob. 1ECh. 8.5 - For each experiment described below, let x...Ch. 8.5 - Prob. 3ECh. 8.5 - For each experiment described below, let x...Ch. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - For the game in Example 5, find Marys expected...Ch. 8.5 - Suppose one day Mary brings a 2-headed coin and...Ch. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Solve each exercise. Many of these exercises...Ch. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Suppose someone offers to pay you 5 if you draw 2...Ch. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - Prob. 30ECh. 8.5 - Payout on Insurance PoliciesAn insurance company...Ch. 8.5 - Prob. 32ECh. 8.5 - Prob. 33ECh. 8.5 - Prob. 34ECh. 8.5 - Prob. 35ECh. 8.5 - Prob. 36ECh. 8.5 - Prob. 37ECh. 8.5 - Hospitalization InsuranceAn insurance policy pays...Ch. 8.5 - Prob. 39ECh. 8.5 - Prob. 40ECh. 8.5 - Samuel AlitoWhen Supreme Court Justice Samuel...Ch. 8.5 - Prob. 42ECh. 8.5 - Prob. 43ECh. 8.5 - Prob. 44ECh. 8.5 - Prob. 45ECh. 8.5 - RaffleA raffle offers a first prize of 1000, 2...Ch. 8.5 - Prob. 47ECh. 8.5 - Prob. 48ECh. 8.5 - Prob. 49ECh. 8.5 - Prob. 50ECh. 8.5 - Find the expected payback for the games of chance...Ch. 8.5 - Prob. 52ECh. 8.5 - ContestsA magazine distributor offers a first...Ch. 8.5 - ContestsA contest at a fast-food restaurant...Ch. 8.5 - Prob. 55ECh. 8.5 - Prob. 56ECh. 8.5 - Prob. 57ECh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - A basket contains 4 black, 2 blue, and 7 green...Ch. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Suppose 2 cards are drawn without replacement from...Ch. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - In Exercises 41 and 42, (a) give a probability...Ch. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Suppose someone offers to pay you 100 if you draw...Ch. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Job QualificationsOf the 12 people applying for an...Ch. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Identity TheftAccording to a survey by Javelin...Ch. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Injury ClaimsThe number of injury claims per month...Ch. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 70RECh. 8 - Prob. 71RECh. 8 - Prob. 72RECh. 8 - Prob. 73RECh. 8 - Prob. 74RECh. 8 - Prob. 75RECh. 8 - Prob. 76RECh. 8 - Prob. 77RECh. 8 - LotteryNew York has a lottery game called Quick...Ch. 8 - Prob. 79RECh. 8 - Prob. 80RECh. 8 - Prob. 81RECh. 8 - PitThe card game of Pit was introduced by Parker...
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