In one of the many versions of the game of Stick Dice, six sticks are used as dice. One side of each stick is decorated with a design while the other is left blank. Players take turns tossing the stick dice onto the ground and recording their points.

The points possible with each toss are as follows:

6 blank side up: 2 points

6 decorated side up: 2 points

3 decorated and 3 blank side up: 1 point

Any other combination: 0 points.

1. Create a probability distribution table for the game of Stick Dice for one toss of the stick dice. Label each column.

1. Identify the type of distribution. Explain.

1. Calculate the Expected Value for this game. What does it represent? Show your calculation. [Type or insert a picture of your calculation in the box below]

1. If you were the owner of the game, and the Expected Value represented the average money won by the player with one toss of the stick dice, what would you have to charge to play the game if you wanted to make 70% profit per ticket? Show your calculations. [Type or insert a picture of your calculation in the box below]