Key learning points

1. The probability of an outcome can be calculated from each representation.
2. Different representations show the same information in different ways.
3. Some representations may be easier to use than others, depending on the context.

Common misconception

Keywords

• Frequency - The frequency is the number of times an event occurs; or the number of individuals (people, animals, etc) with some specific property.

• Sample space - A sample space is all the possible outcomes of a trial. A sample space diagram is a systematic way of producing a sample space.

• Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.

• Theoretical probability - Theoretical probability is a probability based on counting the number of desired outcomes from a sample space where all individual outcomes are equally likely.

• Probability tree - Each branch of a probability tree shows a possible outcome from an event or from a stage of a trial, along with the probability of that outcome happening.