MDM4U: Games Fair Project

Your Task

Your task is to create an interesting, easy to play and profitable game of chance. The game will require players to pay x-dollars to play, with the possibility of winning y dollars. You have a choice of using dice, cards, spinners or … How it will work

Upon completion of the games fair project, we will spend a day in class playing the games and getting raw data for analysis. Each game will need to be played a large number of times so that we can get a good sample size. Your requirements

You must calculate the probability and odds for each possible outcome of your game, and then find odds that you will give the participants such that your game is unfair to the player like the casinos design their games. Your game should cost $1, $2 or $3 dollars to play, and should only pay out in whole numbers.

What needs to be submitted On Games Fair day Day:

- A game board with the rules of the game, the odds of winning and the payout odds all clearly and concisely stated

- An interesting game requiring a reasonably complex calculation for the theoretical probability

One week after Games Fair Day: - A neatly written tally sheet outlining the outcomes of each game

- A table and a graph showing the experimental / empirical probability distribution

- A table and a graph showing the theoretical probability distribution - A calculation for the expected value and the house advantage

Marking Scheme Name:______

Level 1 Level 2 Level 3 Level 4

Clarity of Game board Game board is Game board is Game board Game Board lacks clarity somewhat clear with clearly and and contains clear with some minor concisely errors / some errors / errors / illustrates the omissions omissions omissions odds and rules of the game

Complexity of Game design Games design Game design is Game design is game has limited is somewhat interesting very complexity interesting and involves interesting and and involves reasonably involves some simple complex complex calculations calculations calculations

Accuracy and Calculations Calculations Calculations Calculations Clarity of lack clarity are somewhat are mostly are performed Calculations and contain clear and clear and clearly and major errors contain some contain only accurately errors / minor errors / omissions omissions

Clarity of Graphs and Graphs and Tables and Tables and Graphs and tables lack tables are graphs are graphs are Tables clarity and somewhat mostly clear presented contain major clear and with some clearly and errors contain some minor errors / accurately errors / omissions omissions

Overall Mark: Comments: