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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 4

Probability
Determine probabilities for chance experiments
  • List the sample space for chance experiments

  • Recognise that probabilities range from 0 (impossible) to 1 (certain) and that equally likely outcomes have equal probabilities

  • Verify that the total of the probabilities of all possible outcomes of an event is 1

  • Identify and describe theoretical (expected) probabilities as being the likelihood of outcomes occurring under fair or unbiased conditions

  • Explain that observed probability is the relative frequency resulting from repeated trials of a simulation and determine observed probabilities

  • Explore relative frequencies by using a random number generator to repeat a chance experiment a number of times

Determine probabilities for complementary events
  • Identify and describe the complement of an event

  • Verify that the sum of the probability of an event and its complement is a total of 1

  • Solve problems involving the probability of complementary events

  • Represent the possible outcomes for complementary events in various forms

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