Probability B (Path)
Mathematics K–10 (2022) · Stage 5 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA5-PRO-P-01 solves problems involving Venn diagrams, 2-way tables and conditional probability (Path: Adv)Content dot points
Each dot point has its own page with resources matched to it.
Solve problems involving Venn diagrams and 2-way tables
- Represent and interpret data in Venn diagrams for mutually exclusive and non-mutually exclusive events 3 resources · 1 interactive/game
- Construct Venn diagrams to represent all possible combinations of 2 attributes from given or collected data 2 resources
- Interpret data in 2-way tables to represent relationships between attributes 2 resources
- Construct 2-way tables to represent the relationships between attributes 2 resources
- Convert between representations of the relationships between 2 attributes in Venn diagrams and 2-way tables 2 resources
- Define a set as a collection of distinct objects
- Use Venn diagrams, set language and notation for events, including A‾ (or A^' or A^c) for the complement of an event A, A∩B for ' A and B ' (the intersection of events A and B) and A∪B for ' A or B ' (the union of events A and B) and recognise mutually exclusive events 3 resources · 1 interactive/game
Use the language, 'if … then', 'given', 'of' and 'knowing that', to examine conditional statements and identify common mistakes in interpreting the language
- Calculate the probabilities of events where a condition restricts the sample space 3 resources · 1 interactive/game
- Describe the effect of a given condition on the sample space
- Identify conditional statements used in descriptions of chance situations
- Explain the validity of conditional statements when describing chance situations, referring to dependent and independent events
- Identify and explain common misconceptions relating to chance experiments 2 resources · 2 interactive/game
Describe mutually and non-mutually exclusive events using specific language and calculate related probabilities
- Explain the difference between mutually exclusive and non-mutually exclusive events 2 resources · 1 interactive/game
- Describe compound events using the terms inclusive or and exclusive or
- Describe non-mutually exclusive events using the terminology and, inclusive or and exclusive or
- Describe events using the terms at least, at most, not and and
- Calculate the probability of compound events using strategies including Venn diagrams and 2-way tables 4 resources · 1 interactive/game
Focus area resources
Stage 5 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 03)
- Unit/PlanningSample scope and sequence: Stages 4–5 core and selected paths (NESA no. 04)
- Unit/PlanningSample scope and sequence: Stage 5 core and all paths (NESA no. 05)
- Unit/PlanningSample scope and sequence: Stage 5 core (NESA no. 02)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 06)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 01)
- Unit/PlanningSample scope and sequence: Stages 4–5 stage based (NESA no. 08)
- Unit/PlanningStage 5 – sample scope and sequence
- Unit/PlanningStage 5 – stage based – sample scope and sequence