VC2M7P01 Official strand: Probability

From a sample space to a prediction

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List a complete single-stage sample space, assign probabilities and predict frequencies.

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A bag contains exactly four cards labelled 11, 12, 13, 14. One card is drawn. Which is the complete sample space of label outcomes?

A12, 13, 14 B11, 12, 13, 14 C11, 12, 13 D11, 12, 13, 14, 15

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Answer: 11, 12, 13, 14

A sample space lists every possible outcome of one draw.
Each of the four labels is possible: 11, 12, 13, 14.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

List a complete single-stage sample space, assign probabilities and predict frequencies.

Read the official VCAA curriculum description (VC2M7P01)

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VC2M7P01-C01List every possible outcome of one stage. A bag’s physical cards may be equally likely even when their labels repeat. An event groups the outcomes satisfying a stated condition.
VC2M7P01-C02For equally likely outcomes, probability is favourable outcomes divided by all outcomes. Multiply by the planned number of trials for an expected count. The denominator refers to the same experiment as the numerator.
VC2M7P01-C03Distinct labels are not automatically equally likely. Combine disjoint favourable outcomes carefully and reverse expected-count calculations only when the model is stated. Expected counts are not quotas: separate runs can give different actual results.
VC2M7P01-C04Creating a complete sample space and interpreting frequency predictions for related experiments.

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D01
Define a complete sample spaceList every possible outcome of one stage. A bag’s physical cards may be equally likely even when their labels repeat. An event groups the outcomes satisfying a stated condition.
D02
Assign and use probabilitiesFor equally likely outcomes, probability is favourable outcomes divided by all outcomes. Multiply by the planned number of trials for an expected count. The denominator refers to the same experiment as the numerator.
D03
Check assumptions behind predictionsDistinct labels are not automatically equally likely. Combine disjoint favourable outcomes carefully and reverse expected-count calculations only when the model is stated. Expected counts are not quotas: separate runs can give different actual results.