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Explain Why Your Game Is Fair Using Probability

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• Introduction
Project
You have three choices for the project. Each is worth the same number of points. Choose the topic that best meets your interest and learning styles.
Option 1: Design a game.
Summary: Design a game of chance and analyze the probability of each of the rounds to prove that the game is fair. If it is not fair, explain why someone might play anyway.
Option 2: Analyze a tv game show that uses probability such as "Deal or No Deal"
Summary: Using data collected from the show, analyze the probability that the player will win the greatest possible amount at each round.
Option 3: Compare probability games.
Summary: Research 2 different lottery or probability based games to compare.

Option 1: Design a Game
Option 1: Design a …show more content…

(For the example above, there are 72 possible outcomes.)
• List the probability distribution for the outcomes.
• Graph the probability distribution and identify which probability distribution meets it.
• Explain why your game is fair using probability.

Option 2: Analyze a Game Show
Analyze a TV Game Show
Note: The suggested game for this assignment is "Deal or No Deal" and the assignment is written specifically for that game show. If you'd like to analyze a different game show, discuss it with your instructor first as some game shows may not apply and some may need different requirements.
Project Summary:
Watch "Deal or No Deal", review the data, and analyze the game.
Requirements:
1. Watch 3 contestants on the show. This might be several episodes of the show so be sure it will be on at a time you can watch or record it.
2. Record the information from the show including the order when each case was selected and the offer from the banker.
3. For each round of the game (ie each time the banker calls), calculate the expected value and the standard deviation.
4. Record if the banker's offer was above the standard deviation and the probability that the highest value on the board will be

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