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MDM 4UE Summative Game Project Page 1 of 1 Part 1: The Game (10 marks) In this assignment, you and one partner will create a game. The game must be a casino-type game where players compete individually against the house. Usually, players bet a fixed amount and could win various amounts, or lose their bet. Your game must have a theoretical probability, unlike carnival games, which involve different levels of skill. The physical game must fit on a single student desk; make it fun and attractive Clear written instructions which players will use to learn your game; A list of winning probabilities must be available for the players. (Most) payouts must be listed on your betting board. Level 1 Level 2 Level 3 Level 4 • Game is too simple or too complicated • Improvements could be made in the game’s design • Most pay outs and probabilities are listed. • Minor improvements could be made in the game’s design or • The game is well designed, but lacks some originality or is too simple • Pay outs and probabilities are listed. • Game is well designed • Instructions are easy to follow • Game is original and creative • Production is of high quality • Pay outs and probabilities are listed. Part 2: The Report (25 marks) Explain how to play your game. Calculate all probability distributions and expectations. Explain some of your calculations using specific examples Conduct empirical simulations and collect statistical probabilities which should support your theoretical probabilities Graph your theoretical and statistical probability distributions on the same set of axes to compare your results Discuss possible improvements All parts listed above are complete and well organized Limit on number of pages Evaluation Level 1 Level 2 Level 3 Level 4 • Report is incomplete and not organized. • Calculations are incomplete and / or do not always use proper mathematical form • Statistical probabilities do not completely support theoretical probabilities • Report is well organized, but some parts are missing • There are some errors in calculations and / or in the use of proper mathematical form • Statistical probabilities support theoretical probabilities • Report is complete and organized. • There are some minor errors in calculations and / or in the use of proper mathematical form • Statistical probabilities support theoretical probabilities • Report is complete and well organized. • All calculations are correct using proper mathematical form • Statistical probabilities support theoretical probabilities