1) In a gambling game, I roll two dice and win $11 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 case, I don't win or lose anything. I am going to repeat this game 72 times.

A) Write the 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) 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.

D) The average of the tickets in the box from (c) is ___ and the SD is ____

E) What is the chance I win at most 26 times? Use the normal approximation to calculate your answer. ____%