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K–10Mathematics K–10 Syllabus (2022)

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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 Loading  in Loading  for Loading  and non-mutually exclusive Loading 

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

  • Interpret data in Loading  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 Loading  as a collection of distinct Loading 

  • Use Venn diagrams, set language and notation for events, including A‾ (or A' or Ac) 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

Use the language, 'if … then', 'given', 'of' and 'knowing that', to examine conditional statements and identify common mistakes in interpreting the language

  • Calculate the Loading  of events where a condition restricts the Loading 

  • Describe the effect of a given condition on the sample space

  • Identify Loading  statements used in descriptions of Loading  situations

  • Explain the validity of conditional statements when describing chance situations, referring to Loading  and Loading 

  • 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

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