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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
S6-3
New NZC (2026)
NZC26-P4-PRO-ETP-K-Y9-05
Resources
- CorbettMaths - Conditional ProbabilityQuestions PDF · Answers
Terminology
- Independent events
- Dependent events
- Conditional probability
- P(A given B)
- P(A and B)
- Without replacement
- With replacement
- Tree diagram
Task goals
- Decide whether two events are independent or dependent (conditional) from a description of the situation.
- Build and read a without-replacement probability tree, where the second-stage branch probabilities depend on the first-stage outcome.
- Use P(B given A) notation and calculate a conditional probability from a tree, a Venn diagram, or a two-way table.
- Test independence by comparing P(B) with P(B given A): equal means independent, different means dependent.
- Calculate a combined-event probability (either order, at least one) from a without-replacement tree.
- Critique a probability claim that confuses independence with dependence, including the gambler's fallacy and mistaking a survey correlation for proof of dependence.
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
You are here
Conditional and independent events
Know
In joint events, events can be dependent or independent.
Statement▸
Year 9 · Probability · Experimental and theoretical probability
NZC26-P4-PRO-ETP-K-Y9-05
Next
The official curriculum has no separate Year 10 statements for Probability — Year 9 Probability spans the phase. Try the Statistics strand’s Year 10 statements.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.