Let the Games Begin

Let the Games Begin

CRA Description : 
Students will apply their understanding of probability, fairness, and area, and discover how these concepts are related. Students will evaluate fairness associated with various games of probability and explore how changing the parameters of a game will affect its fairness. This task will include simulating events to gather data, comparing experimental and theoretical probabilities, and calculating expected values to determine the fairness associated with various games of probability.
Subjects: 
Mathematics
Geometry
Mathematical Models with Applications
Key Concepts and Terms: 
Area Model
Complement of an Event
Equally Likely
Event
Expected Value
Experiment
Experimental Probability
Fairness
Law of Large Numbers (LLN)
Outcome
Prediction
Probability
Sample Space
Theoretical Probability
Trial
Prior Knowledge: 
Students should know the difference between experimental and theoretical probability. Students should be able to find all the outcomes of a multiple-stage event in an organized manner. Students will also be expected to be able to calculate theoretical probability and compare it to experimental probability. Students should be able to calculate expected values. Students should be comfortable with calculating the mean. Students should know how to work with equivalent ratios in fraction, decimal, and percent form. Students should be able to perform all operations with rational numbers. Students will need to recall the effects of scale factor on area, use a protractor to create a circle, and calculate a portion of the area of a circle.