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NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus

Record of changes
Implementation for K–2 from 2023 and 3–10 from 2024
Expand for detailed implementation advice

Content

Stage 5

Probability B (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Solve problems involving Venn diagrams and 2-way tables
  • Represent and interpret data in Venn diagrams for mutually exclusive and non-mutually exclusive events

  • Construct Venn diagrams to represent all possible combinations of 2 attributes from given or collected data

  • Interpret data in 2-way tables to represent relationships between attributes

  • Construct 2-way tables to represent the relationships between attributes

  • Convert between representations of the relationships between 2 attributes in Venn diagrams and 2-way tables

  • Define a set as a collection of distinct objects

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

  • 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

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

  • 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

Related files