Integrated Math 2 - Third Quarter Project - Casinos

• Introduction: Gambling is a big business and a lot of money is made at casinos. The casino earnings are then taxed by the government and create a lot of revenue for the country. Venezuela is considering legalizing gambling, for instance, privatizing the Hotel Avila as a casino hotel in order to generate more money for the state.
• Objective: Choose an existing casino game or create your own game. Explain the rules of the game and then calculate the probabilities of winning. Play the game with a few friends to find the experimental probabilities of winning. Use your theory and data to show that the casino always has the highest chance of winning.
• Will Include:
  1. An explanation of the rules of your game.
  2. A calculation of the theoretical probability involved in winning your game and an explanation as to how the calculations were done.
  3. A description of the experiment used to simulate or actually play your game and the experimental probabilities calculated through the experiment.
  4. A summary which explains, using the data you generated in your theoretical calculations and simulation, why the casino always makes money on your game.
• Due Date: The project will be due on Friday, April 4 before 3:00 pm.
• Did you....?
  • Write each group members name on the project?
  • Include a description of the rules of your game?
  • Include a description of how you calculated the probabilities?
  • Include a description of how you simulated the playing of the game?
  • Include an explanation of how the game favors the casino?
  • Proofread/spell check your document?

Assessment: The following five criteria will be considered in the grading of the project. Each will be given a grade from 1 to 4 following the guidelines given.

a. Planning
1. An attempt is made to explain the rules of the casino game.
2. The rules of the casino game are described, but not clearly enough to play the actual game without further verbal or written instructions.
3. The rules of the casino game are described in full in a coherent manner so that the reader would play the game with no further explanation.
4. The rules of the casino game are described in full in a coherent manner so that the reader would play the game with no further explanation and a hypothesis as to how the game favors the casino is given.
b. Analysis
1. simple probability calculations are carried out
2. probability calculations which are relevant to the game are carried out
3. probability calculations which are relevant to the game are adequately carried out
4. probability calculations which are relevant to the game are accurately carried out
c. Data Collection
1. results of the simulation are given
2. a plan for the simulation and the results of the simulation are given
3. a plan for the simulation is given, that plan being appropriate for the task and the results are given
4. a plan for the simulation is given that plan being appropriate for the task and a strategy for structuring the data is given before the results are given
d Evaluation
1. conclusions are made
2. conclusions, appropriate to the stated task, are made
3. conclusions, appropriate to the stated task and which are consistent with the analysis, are made
4. conclusions, appropriate to the stated task and which are consistent with the analysis, are made and the validity of the project or possible extensions are discussed
e. Communication
1. Most stages of the project are described.
2. All stages of the project are described.
3. All stages of the project are recorded and described using appropriate language, symbols, tables and/or graphs.
4. All stages of the project are recorded and described in a coherent and logical manner using appropriate language, symbols, tables and/or graphs