Understand conditional probability
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Log in to continueInterpret “given” as a changed sample space and use simulations to estimate conditional events.
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A person is selected randomly from the table. Given that they are in B, what is the probability they are also in A?
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Table. A, 2, 3; Not A, 4, 5
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Answer: 1/3
- Knowing B occurred restricts the sample space to 6 people.
- 2 of those are in A.
- P(A given B) = 1/3.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Interpret “given” as a changed sample space and use simulations to estimate conditional events.
Read the official VCAA curriculum description (VC2M10P01)
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Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M10P01-C01Use the conditioning group as the denominator.
- VC2M10P01-C02Estimate a conditional event from a simulated subset.
- VC2M10P01-C03Design and conduct a digital simulation for conditional probability.
- VC2M10P01-C04Apply and explain understand conditional probability using read and connect representations.
- VC2M10P01-C05Apply and explain understand conditional probability using work backwards from what is known.
- VC2M10P01-C06Apply and explain understand conditional probability using compare evidence and check a claim.
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Subskills
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Descriptor-derived subskills
- D01Restrict the sample spaceUse the conditioning group as the denominator.
- D02Keep only trials meeting the conditionEstimate a conditional event from a simulated subset.
- D03Read and connect representationsApply and explain understand conditional probability using read and connect representations.
- D04Work backwards from what is knownApply and explain understand conditional probability using work backwards from what is known.
- D05Compare evidence and check a claimApply and explain understand conditional probability using compare evidence and check a claim.