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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
S5-4
New NZC (2026)
NZC26-P4-PRO-ETP-P-Y9-04
Resources
- Dr Austin Maths - Expected Values from Probability Tables Practice Grid: PDFQuestions PDF · Answers
- Beta: Skills in Ex 33.04, pg 626
Terminology
- Expected number
- Number of trials
- Probability
- Prediction
- Average
- Estimate
Task goals
- Calculate an expected number using Expected Number = probability x number of trials, from a probability given as a fraction, decimal, or percentage.
- Apply the formula to real-world prediction contexts (weather, faulty items, sports success rates, surveys, games of chance).
- Round an expected number sensibly for context (e.g. to the nearest whole trial, or to a stated number of decimal places when the raw value isn't a whole number).
- Find an expected number for the complementary event (e.g. expected tails from a coin's P(Heads)) by first finding the complementary probability.
- Explain that an expected number is an average or estimate, not a guaranteed outcome, and that the actual result can reasonably differ due to random chance.
- Judge whether an actual observed result is a plausible outcome given an expected number, or reason about a decision that depends on the expected number (e.g. whether a stock of prizes will be enough).
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
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Expected Number
Do
Carrying out chance experiments of at least 100 trials and comparing the experimental probability of each individual outcome to its theoretical probability, in order to demonstrate the Law of Large Numbers
Statement▸
Year 9 · Probability · Experimental and theoretical probability
NZC26-P4-PRO-ETP-P-Y9-04
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:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.