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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
S4-4S3-3
New NZC (2026)
NZC26-P4-PRO-ETP-P-Y9-02NZC26-P4-PRO-ETP-P-Y9-01NZC26-P4-PRO-ETP-P-Y9-06NZC26-P4-PRO-ETP-K-Y9-01NZC26-P3-PRO-EP-P-Y7-01NZC26-P3-PRO-TP-K-Y7-02NZC26-P3-PRO-TP-K-Y7-03NZC26-P3-PRO-TP-K-Y7-04NZC26-P3-PRO-TP-P-Y7-01NZC26-P3-PRO-TP-P-Y7-02
Resources
- Beta: Skills in Ex 33.01, pg 615
- Dr Austin Maths - Theoretical Probability with Dice Practice Grid: PDFQuestions PDF · Answers
- Dr Austin Maths - Theoretical Probability with Playing Cards Practice Grid: PDFQuestions PDF · Answers
- CorbettMaths on listing outcomes (sample space)Questions PDF · Answers
Terminology
- Coins
- Heads
- Tails
- Dice
- Playing cards
- Deck
- Face value
- Colours of playing cards
- Probability
- Theoretical probability
- Sample space
- Outcome
- Favourable Outcome
- Independent/dependant Event
- Mutually exclusive
- Certain (P = 1)
- Impossible (P = 0)
- Likely / Unlikely
- Random
Task goals
- Find the theoretical probability of a simple event using a coin, die, or standard playing card, expressed as a simplified fraction.
- Use the language of chance correctly (sample space, outcome, favourable outcome, certain, impossible, likely, unlikely, even chance) and place events on a 0-1 likelihood scale.
- List or read a sample space for two combined events (two coins, or a coin and a die) and use it to find a probability.
- Distinguish mutually exclusive events from overlapping events, and independent events from dependent events, using dice and card examples.
- Find probabilities for combined and "at least one" events (sums of two dice, repeated coin flips, cards without replacement).
- Contrast theoretical probability (calculated from equally likely outcomes) with experimental probability (based on repeated trials, which can vary).
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
You are here
Tools of chance
Do
Systematically listing outcomes for the sample space
Statement▸
Year 9 · Probability · Experimental and theoretical probability
NZC26-P4-PRO-ETP-P-Y9-02
Do
Carrying out a chance experiment, including running simulations for a large number of trials using digital tools
Statement▸
Year 9 · Probability · Experimental and theoretical probability
NZC26-P4-PRO-ETP-P-Y9-01
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 S4-4:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.