In a gambling game, I roll two dice and win $1 if the sum of my two rolls is larger than 7. I lose $1 if the sum of my two rolls is smaller than 7. In any other cases, I don’t lose or win anything. I am going to repeat this game 72 times. (a) Write your answers as simplified fractions: What is the chance I win $1 on a single play? ___________ What is the chance I lose $1 on a single play? ___________ What is the chance I don’t win or lose any money on a single play? ___________ (b) Based on your answers to (a), write down a box model for my net gain, including the values on the tickets in the box, the number of repeats of each ticket, and how many draws we will make with replacement from the box. (c) Now make a box model for the number of times I win, including the values on the tickets, the number of repeats of each ticket, and how many draws we will make with replacement from the box
In a gambling game, I roll two dice and win $1 if the sum of my two rolls is larger
than 7. I lose $1 if the sum of my two rolls is smaller than 7. In any other cases, I
don’t lose or win anything. I am going to repeat this game 72 times.
(a) Write your answers as simplified fractions:
What is the chance I win $1 on a single play? ___________
What is the chance I lose $1 on a single play? ___________
What is the chance I don’t win or lose any money on a single play? ___________
(b) Based on your answers to (a), write down a box model for my net gain, including
the values on the tickets in the box, the number of repeats of each ticket, and how
many draws we will make with replacement from the box.
(c) Now make a box model for the number of times I win, including the values on
the tickets, the number of repeats of each ticket, and how many draws we will
make with replacement from the box.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images
