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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
S5-4S6-3
New NZC (2026)
NZC26-P4-PRO-ETP-K-Y9-06
Resources
- CorbettMaths - Independent EventsQuestions PDF · Answers
Terminology
- Multiplicative principle
- Independent events
- Combined events
- Tree diagram
- At least one
- With replacement
Task goals
- Foundation: Apply the multiplicative principle to find the total number of outcomes or the probability of two simple independent events occurring together, such as a coin flip and a die roll.
- Proficient: Use tree diagrams and the multiplicative principle to calculate probabilities for multi-stage independent events, including 'at least one' and 'none' scenarios.
- Excellence: Combine the multiplicative principle with expected-value reasoning across multi-stage experiments, justifying independence assumptions and interpreting results in context.
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
You are here
Multiplicative Principle for Combined Probability Events
Know
Probabilities for joint events cannot simply be added, because doing so would double-count outcomes that are common to both events.
Statement▸
Year 9 · Probability · Experimental and theoretical probability
NZC26-P4-PRO-ETP-K-Y9-06
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.
Also under S5-4:
Also under S6-3:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.