Year 8 - Probability - Free practice
Year 8 Probability Worksheets & Practice Tests
Tree diagrams, two-way tables, Venn diagrams.
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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
About this worksheet
Why we built it
Year 8 probability adds two-event experiments - which means tree diagrams, two-way tables and Venn diagrams enter the picture. These worksheets give your student practice in each representation so they can pick whichever is fastest for the question in front of them.
What's covered
Sub-skills your student will practise
- ✓Tree diagrams for two-stage experiments
- ✓Two-way tables (with-replacement and without-replacement)
- ✓Venn diagrams for two events
- ✓Complementary events
- ✓Calculating P(A and B) from a tree or table
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Frequently asked
Questions parents ask about probability
What's a tree diagram used for?
Mapping out all possible outcomes of a multi-stage event. Each branch is one possible outcome at one stage. Year 8 introduces two-stage tree diagrams - three coin flips, picking two marbles, etc.
What's the difference between 'with' and 'without' replacement?
With replacement: the first item is put back before the second is drawn, so each draw has the same probability. Without replacement: the first item stays out, so the second draw's probability changes. This catches a lot of students out.
When do students use a two-way table vs a tree diagram?
Two-way tables work well when you already have category totals. Tree diagrams are better when probabilities differ at each stage. Venn diagrams suit problems involving 'and / or' overlap between events.
What's a complementary event in Year 8?
The opposite of an event - if A is 'roll a 6', then 'not A' is 'roll 1, 2, 3, 4, or 5'. P(A) + P(not A) = 1 always. This is one of the most-used probability shortcuts in Year 8 problems.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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