Compare predictions with many trials
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For simulation B, how many sixes does the fair-die model predict?
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Invented independent fair-die simulation records, listing trials and observed sixes.
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Answer: 220
- Each fair-die throw has P(6) = 1/6.
- 1320 × 1/6 = 220 expected sixes.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Run large digital simulations and explain differences using sample size.
Read the official VCAA curriculum description (VC2M7P02)
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.
- VC2M7P02-C01Record the number of trials and successes separately. Theoretical probability produces an expected count; successes divided by trials produces observed relative frequency. Neither should be substituted for the other without explanation.
- VC2M7P02-C02Compare each run with the same model using its own trial total. Add successes and trials before calculating a pooled rate. A larger absolute count error can still be a smaller proportional error in a much larger run.
- VC2M7P02-C03Large samples tend to give more stable relative frequencies, but an individual result is not guaranteed. A deviation alone does not prove a biased model, and the next event need not compensate for previous results. Report observations, assumptions and limits together.
- VC2M7P02-C04Creating, conducting or using the described practical or digital activity; selecting an MCQ answer does not demonstrate this action.
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Subskills
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Descriptor-derived subskills
- D01Summarise a simulationRecord the number of trials and successes separately. Theoretical probability produces an expected count; successes divided by trials produces observed relative frequency. Neither should be substituted for the other without explanation.
- D02Compare proportions and pool recordsCompare each run with the same model using its own trial total. Add successes and trials before calculating a pooled rate. A larger absolute count error can still be a smaller proportional error in a much larger run.
- D03Explain what sample size changesLarge samples tend to give more stable relative frequencies, but an individual result is not guaranteed. A deviation alone does not prove a biased model, and the next event need not compensate for previous results. Report observations, assumptions and limits together.