This is from ILC's MDM4U course. Please take your time in solving this. A detailed solution would be highly appreciated (especially either the distribution table). 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. = Adescription of the rules and instructions on how to play the game. A photograph or diagram of any needed materials. = Adistribution 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