Probability Project – AFM In groups of three, you are to design one carnival midway game based on the concepts of probability that we discuss in class. For example, you may design a card game, game using dice or spinners, the use of a random draw, etc…; it should be similar to those discussed in class (note: no games where an object is thrown/tossed/shot will be allowed for the purposes of this project). A description of each game is required. Include rules for playing the game, what constitutes winning or possible outcomes (if there is more than one way to win or lose). Include a list of the materials needed to create the game and a visual of the game. Tell me how much it costs to play your game and the value of the prizes that you are giving away. Note: This will help you with expected value! Note on the note: All of your prizes must have some kind of cash value associated with them. If you are giving away cupcakes, how much do they cost? If it’s going to be stuffed bears, how much are they worth? You should calculate the theoretical probability and the empirical probability (supported with empirical data, using a minimum of 50 trials, accompanied by a table of results preferably recorded in Excel or some other spreadsheet). If there are multiple winning/losing conditions, you need to find the probability for each of these, not just the probability of ‘a win’(if you have a large prize, a medium prize, and a small prize, you need to find the probability of winning each prize). Find the expected value of your game, using your game’s cost and the theoretical probabilities that you have calculated. Your group is expected to create a flyer for your game to describe the game and promote carnival attendance. The flyer should have writing large enough to be seen far away – and it should be colorful and creative. Prior to the due date, your group should submit a project proposal which outlines the game’s rules and conditions for winning/losing. If you have multiple winning/losing conditions, you may want to consider the effect this will have on your probability calculations (in regards to the complexity of the calculations). Each group must have prior approval for the choice of the midway game that they include in their carnival. Once the game has been approved, the group should make adjustments as necessary. Once the project has been approved, each group should type up their proposal and turn it in via the ‘Digital Dropbox’ on BlackBoard. Preliminary Approval Design Turn in Date: Saturday, February 6 Project Submission Date and Presentation Date: Wednesday, February 10 The grading RUBRIC must be turned in with the project! Probability Project Rubric With your partner, you are to design one carnival midway game based on the concept of probability that we discussed in class. For example, you may design a dart game, dice game, or a card game similar to those discussed in class. You must have EACH of the items listed below for your game!! Items Title Page (Typed) (names, date, title, etc…) Introduction (Typed) (overall summary of game, maybe why you chose that particular type of game, etc) Game Descriptions (Typed) Materials List Rules of the games (detailed) How/What do you win? Cost of game, Value of Prizes Calculations: Theoretical Probability Empirical Probability Empirical data Expected Value Flyer (separate page) Colorful & Creative Visuals (game boards, dart board, cards, spinner, etc…) Written Presentation Paragraph with description of game for approval, turned in on time, included in portfolio as well Level of Difficulty – thought, time, effort, creativity, etc (15’s will be given out for supremely excellent projects) Possible Points 5 5 5 40 5 10 20 15 Points Earned