Question

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 to pay 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?

Answer 1

Okay so this friend has a 8, 9, 10 as her options that she pays at.

8:    2,6        9:   6,3            10:  5,5         
       6,2              3,6                   5,5      
       4,4              
       4,4 

These are the possibilities of rolling these numbers. = 4 possibilities

4/11 (11 because that is the number of possibilities you get for two dice) 

that leaves 7/11 possibilities of rolling and not paying!

36% lands on a spot that she pays at and about 64% possibilities of not paying. 


Hope this helped!

:)