You are playing Monopoly with a friend. She owns and has developed Park Place and Boardwalk with hotels. If you roll an 8, you will land on Park Place and owe her $1500. You will be able to pay, but you will not have money left afterward. If you roll a 9, you will land on Luxury Tax and have to pay $75. If you roll a 10, you will land on Boardwalk and owe her $2000, which is more than you can pay-and lose the game. If you roll a 7 or less, you will not have to pay any money to anyone. Your friend offers you insurance. Pay her $500 before you roll and even if you land on Boardwalk or Park Place, you will not have to pay any additional money. However, if you roll a 7, you will have topay her $1000. Use probabilities to find expected values. Then compare the amount of money you should expect to pay out on average, under her insurance and by chance. Is her deal fair?

You are playing Monopoly with a friend. She owns and has developed Park Place and Boardwalk with hotels. If you roll an 8, you will land on Park Place and owe her $1500. You will be able to pay, but you will not have money left afterward. If you roll a 9, you will land on Luxury Tax and have to pay $75. If you roll a 10, you will land on Boardwalk and owe her $2000, which is more than you can pay-and lose the game. If you roll a 7 or less, you will not have to pay any money to anyone. Your friend offers you insurance. Pay her $500 before you roll and even if you land on Boardwalk or Park Place, you will not have to pay any additional money. However, if you roll a 7, you will have topay her $1000. Use probabilities to find expected values. Then compare the amount of money you should expect to pay out on average, under her insurance and by chance. Is her deal fair?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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