Representing Probability Distributions activity

Think about a simple Games Fair game.The game must have a non-uniform probability distribution and 4 or more outcomes.Clearly describe the rules of the game and the points associated with each outcome.Create the points based on an expected value that will allow the game to profit.

Example: In Plinko, the player will have the choice of what slot to drop the coin in at the top.For the purpose of this example, the player must drop it in the middle slot. There are 4 different outcomes at the bottom:0, 1, 2, and 4.

Include the following:

1. Name of the game
2. Description of the game and the things required (the game must have a non-uniform probability, two events(steps) and 4 or more final outcomes)
3. Rules of the Game and points (winnings) associated with each outcome.
4. Distribution table and bar graph.
5. Expected value (create the points based on an expected value that will allow the game to profit)
6. Demonstrate that the expected value calculated by using the formula sum of x P of x , is the same as the average of what would be expected with a suitable number of trials. Show all the work. Refer the Plinko example for assistance.
   

Choose your game or one of your classmates and demonstrate that the expected value calculated by using the formula, S IP(x), is the same as the average of what you would expect with a suitable number of trials. Show all your work. Refer to the Plinko example for assistance