Year 10 - Probability - Free practice
Year 10 Probability Worksheets & Practice Tests
Conditional probability, independence, multi-step events.
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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 10 probability introduces conditional probability - one of the trickier ideas in school maths. These worksheets give your student practice in tree diagrams, two-way tables and the formal P(A|B) notation that VCE Methods builds on.
What's covered
Sub-skills your student will practise
- ✓Conditional probability from two-way tables
- ✓Tree diagrams with conditional branches
- ✓P(A|B) formal notation
- ✓Independence of two events
- ✓Word problems involving conditional reasoning
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Frequently asked
Questions parents ask about probability
What's conditional probability?
The probability of event A happening, given that event B has already happened. Written P(A|B). For 'probability of having the flu given a positive test', P(flu | positive test) depends on the test's accuracy.
What's the conditional probability formula?
P(A|B) = P(A and B) / P(B). Year 10 introduces this for two-way table and tree-diagram contexts. The formal definition extends in Year 11 Methods.
When are two events independent?
When the occurrence of one doesn't change the probability of the other. P(A|B) = P(A) - and equivalently P(A and B) = P(A) x P(B). Independence is a common Year 10 test question.
Why does conditional probability trip students up?
Because the language 'given that' isn't always explicit. Students have to spot when a question is implicitly conditional - 'given the test was positive, what's the probability...' - and apply the conditional formula rather than the simple probability.
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