VC2M9P03 Official strand: Probability

Use simulations to estimate chance

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Design repeatable chance simulations and interpret variation in their estimates.

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A digital simulation records 30 successes in 100 trials. What is the relative-frequency estimate of success probability?

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Answer: 3/10

  1. Estimate = successes/trials = 30/100.
  2. This simplifies to 3/10.
  3. It is a simulation estimate, not an exact theoretical probability.
  4. 30 ÷ 100 = 3/10.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Design repeatable chance simulations and interpret variation in their estimates.

Read the official VCAA curriculum description (VC2M9P03)

These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.

Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M9P03-C01Use successes divided by total trials.
  2. VC2M9P03-C02Design and conduct a digital simulation for a probability estimated numerically.
  3. VC2M9P03-C03Compare independent runs and examine assumptions.
  4. VC2M9P03-C04Evaluate repeated digital chance experiments and communicate limitations.
  5. VC2M9P03-C05Apply and explain use simulations to estimate chance using calculate and explain each step.
  6. VC2M9P03-C06Apply and explain use simulations to estimate chance using compare evidence and check a claim.

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Subskills

These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.

Descriptor-derived subskills

  1. D01
    Turn trial counts into an estimateUse successes divided by total trials.
  2. D02
    Test and repeat the modelCompare independent runs and examine assumptions.
  3. D03
    Calculate and explain each stepApply and explain use simulations to estimate chance using calculate and explain each step.
  4. D04
    Compare evidence and check a claimApply and explain use simulations to estimate chance using compare evidence and check a claim.
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