Two-step chance experiments
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Log in to continueList ordered outcomes and calculate probabilities with or without replacement.
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A bag contains 2 red and 2 blue counters. Each draw is random and the counter is replaced and remixed. What is P(red then red)?
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Answer: 1/4
- First red probability = 2/4.
- Replacement restores the original counts.
- Multiply the two probabilities: 1/4.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
List ordered outcomes and calculate probabilities with or without replacement.
Read the official VCAA curriculum description (VC2M9P01)
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.
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M9P01-C01Use unchanged second-stage probabilities after replacement and remixing.
- VC2M9P01-C02List all two-step outcomes using a tree, table, list or array.
- VC2M9P01-C03Change counts after the first item is removed.
- VC2M9P01-C04Construct and compare full outcome representations without replacement.
- VC2M9P01-C05Apply and explain two-step chance experiments using read and connect representations.
- VC2M9P01-C06Apply and explain two-step chance experiments 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
- D01Reset the sample spaceUse unchanged second-stage probabilities after replacement and remixing.
- D02Update the second drawChange counts after the first item is removed.
- D03Read and connect representationsApply and explain two-step chance experiments using read and connect representations.
- D04Calculate and explain each stepApply and explain two-step chance experiments using calculate and explain each step.