Two-event outcomes and probability
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Log in to continueOrganise outcomes with tables, trees and Venn diagrams, then count the required event.
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A fair spinner has 4 equal labelled sectors. An independent fair spinner has 3 equal labelled sectors. How many ordered outcomes are possible from one spin of each?
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Answer: 12
- Each of the 4 first outcomes can be paired with each of the 3 second outcomes.
- Total = 4 × 3 = 12. A two-way table has one cell for every pair.
- 4 × 3 = 12.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Organise outcomes with tables, trees and Venn diagrams, then count the required event.
Read the official VCAA curriculum description (VC2M8P02)
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.
- VC2M8P02-C01List and count combinations for two events.
- VC2M8P02-C02Interpret two-way tables and inclusive unions.
- VC2M8P02-C03Construct tables, trees and Venn diagrams and explain their correspondence to events.
- VC2M8P02-C04Calculate probabilities for two independent events using equally likely ordered outcomes.
- VC2M8P02-C05Apply and explain two-event outcomes and probability using read and connect representations.
- VC2M8P02-C06Apply and explain two-event outcomes and probability using calculate and explain each step.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Every first choice with every secondList and count combinations for two events.
- D02Count overlap onceInterpret two-way tables and inclusive unions.
- D03Find outcomes that satisfy both conditionsCalculate probabilities for two independent events using equally likely ordered outcomes.
- D04Read and connect representationsApply and explain two-event outcomes and probability using read and connect representations.
- D05Calculate and explain each stepApply and explain two-event outcomes and probability using calculate and explain each step.