Developing And Using Non-uniform Probability Models By Observing Frequencies In Data

Developing And Using Uniform Probability Models (equally Likely Outcomes)

Evaluating And Comparing Strategies Based On Expected Values

Finding The Expected Payoff For A Game Of Chance

Using Probability Concepts To Analyse Strategies And Make Fair Decisions

Applying And Interpreting Probability Rules

Applying And Interpreting The Addition Rule Of Probability I.e. P(a Or B) = P(a) + P(b) – P(a And B)

Applying And Interpreting The Multiplication Rule Of Probability I.e. P(a And B) = P(a)p(b|a) = P(b)p(a|b)

Counting And Finding Combinations (including Using The Formula)

Counting And Finding Permutations (including Using The Formula)

Designing And Using A Simulation To Generate Frequencies For Compound Events

Identifying Outcomes In The Sample Space For Compound Events

Representing Sample Spaces For Compound Events Using Lists, Tables, Tree Diagrams

Using Combinations To Compute Probabilities Of Compound Events And Solve Problems

Using Permutations And Combinations For Probability Problems

Using Permutations To Compute Probabilities Of Compound Events And Solve Problems

Estimating The Probability Of A Chance Event By Collecting Data (including Observing Long-run Relative Frequencies)

Identifying Outcomes In The Sample Space For Simple Events

Calculating Theoretical Probabilities In The Context Of Area Models