VC2M8P03 Official strand: Probability

Simulate compound events

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Use repeated trials to estimate probabilities and explain differences from a theoretical model.

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A simulation tosses two fair coins 40 times. Two heads occur 9 times. What is the estimated probability of two heads from these results?

A1/4 B9/40 C3/10 D11/40

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Answer: 9/40

Relative frequency = successes ÷ trials = 9/40.
The estimate is 9/40. It need not equal the theoretical 1/4 exactly.
9 ÷ 40 = 9/40.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Use repeated trials to estimate probabilities and explain differences from a theoretical model.

Read the official VCAA curriculum description (VC2M8P03)

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.

VC2M8P03-C01Calculate experimental estimates for compound events.
VC2M8P03-C02Evaluate compound-event simulations and interpret variation.
VC2M8P03-C03Conduct repeated compound-event experiments using digital tools and describe the results.
VC2M8P03-C04Apply and explain simulate compound events using calculate and explain each step.
VC2M8P03-C05Apply and explain simulate compound events using compare evidence and check a claim.
VC2M8P03-C06Apply and explain simulate compound events using build and check a model.

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Subskills

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Descriptor-derived subskills

D01
Use the observed proportionCalculate experimental estimates for compound events.
D02
Make the random procedure matchEvaluate compound-event simulations and interpret variation.
D03
Calculate and explain each stepApply and explain simulate compound events using calculate and explain each step.
D04
Compare evidence and check a claimApply and explain simulate compound events using compare evidence and check a claim.
D05
Build and check a modelApply and explain simulate compound events using build and check a model.