SECTION 1: PLAY A GAME - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Choose one of the following games from the Games Fair:

• Four Coin Flip
• Five Card Shuffle
• Four Dice Roller
• Marble Draw
• Ten Spinner

Play the game 100 times and do the following:

1. Record your outcomes in the form of a table.
2. Introduce/Define your random variable and form an experimental probability distribution table. (Do NOT incorporate the cost of the game in your definition of your random variable.) Express your probabilities in both fraction and decimal form, rounded to two decimal places.
3. Form a well-labelled experimental probability distribution bar graph.
4. What is the experimental expectation of your random variable? Show your calculations.

SECTION 2: Make A GAME - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

1. Form a game with 5 to 10 outcomes and explain the rules of the game. Be clear and precise. You can choose any cost you would like for the player, but the game must be profitable for the house (i.e. the person who is running the game).
2. Introduce/Define your random variable and form a theoretical probability distribution table. Your game must be created in such a way that you use probability techniques learned in this course. Specifically, either the Binomial distribution or the Hypergeometric distribution.
3. Form a well-labelled theoretical probability distribution bar graph.
4. What is the theoretical expectation of your random variable? Show your calculations.