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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
- Beta: Skills in Ex 33.04, pg 626 (teacher's note: a very small exercise in the textbook)
- Dr Austin Maths - Expected Values from Probability Tables Practice GridQuestions PDF · Answers
Terminology
- Expected outcome
- Expected value
- Prediction
- Average
- Estimate
- Random chance
Task goals
- State and apply the expected-value formula E = n x p to predict how many times an event will occur over n trials.
- Read a theoretical probability (as a fraction, decimal, or percentage) from a spinner, a probability table, or a stated rate, and use it to find an expected frequency.
- Combine expected frequencies for two or more outcomes (e.g. "Blue OR Yellow") by adding their probabilities before multiplying by n.
- Work backwards from a given expected count to find the number of trials n or the underlying probability p.
- Explain why an actual observed count commonly differs from its expected value, especially over a small number of trials, and that a larger number of trials tends to bring the experimental result closer to the theoretical expectation (Law of Large Numbers).
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
You are here
Expected outcome (expected value)
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.