This is from TVO ILC's MDM4U course. A detailed solution following the instructions would be highly appreciated. Kindly include the distribution table. Please take your time. This would greatly help my ILC grade. Thank you.

Task one: A game Create a random chance one-player game with prizes that is fun to play. The game should include all of the following elements: 1. The game should be fair. The expected value for the player should be 0. This could be accomplished by charging a set fee to play, or by adjusting prize amounts. 2. At least three different actions should be taken by the player while playing. Examples include, but are not limited to, drawing a card, rolling a 12-sided die, flipping a coin, etc. 3. For the game to be fun, the player should win 20-40% of the time. 4. You must be able to play the game, or simulate playing it using online random number generators. Submit: You will submit the following items in the first part of your report. A name for the game. A description of the rules and instructions on how to play the game. A photograph or diagram of any needed materials. A distribution table for the prizes, and any calculations needed to justify the values. The expected value of the game, with any supporting calculations. Evidence that the player will theoretically win 20-40% of the time. The results of playing the game yourself 10 times. A comparison of the theoretical results of the game to your experimental results, including a discussion of whether your results were typical or rare. Two constructive pieces of advice for another student working on this same task, explaining common errors that may be made in this task and ways to avoid them