Calculate Expected Payoff In Chance Game

Comparing Strategies Via Expected Values

Evaluating And Comparing Strategies Based On Expected Values

Finding Expected Payoffs For Games Of Chance

Using Probability Concepts For Decision-making

Designing Simulations For Compound Events

Representing Sample Spaces For Compound Events

Understanding Probability Of Compound Events

Developing & Using Uniform Probability Models

Developing Non-uniform Probability Models

Describing Events In Sample Space Using Set Theory

Defining And Recognizing Conditional Probability

Defining Conditional Probability, Recognising And Explaining Its Concept In Daily Language And Situations

Finding Conditional Probabilities

Finding The Conditional Probability Of One Event Given Another Event

Interpreting Independence In Terms Of Conditional Probability

Interpreting The Independence Of Two Events In Terms Of Conditional Probability

Using A Two-way Table As A Sample Space

Using A Two-way Table As A Sample Space To Approximate Conditional Probabilities

Describing Events As Subsets Of A Sample Space

Describing Events As Subsets Of A Sample Space Using Characteristics Of The Outcomes

Describing Events As Unions, Intersections Or Complements

Describing Events As Unions, Intersections Or Complements Of Other Events

Recognising And Explaining Independent Events

Recognising And Explaining The Concept Of Independent Events In Daily Language And Situations

Understanding Conditions For Independence Of Events

Understanding The Mathematical Conditions Necessary For Two Events To Be Independent (including Using Two-way Tables As Sample Space).

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

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

Calculate Expected Payoff In Chance Game

Comparing Strategies Via Expected Values

Calculating And Interpreting The Expected Value Of A Random Variable

Developing A Probability Distribution For A Random Variable For Which Theoretical/experimental Probabilities Can Be Calculated (including Binomial Distribution).

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

Calculating And Interpreting Expected Values

Developing Probability Distributions For Random Variables

Calculate Expected Payoff In Chance Game

Comparing Strategies Via Expected Values

Calculating And Interpreting The Expected Value Of A Random Variable

Developing A Probability Distribution For A Random Variable For Which Theoretical/experimental Probabilities Can Be Calculated (including Binomial Distribution).

Understanding That The Probability Of A Chance Event Lies Between Zero And One And Distinguishing Between Likely And Unlikely Events