Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
S4-4S4-3
NZC26-P4-PRO-ETP-P-Y9-02NZC26-P4-PRO-ETP-K-Y9-08NZC26-P4-PRO-ETP-K-Y9-07NZC26-P4-PRO-ETP-K-Y9-03NZC26-P4-PRO-ETP-P-Y9-06
Resources
- Beta: Skills in Ex 33.01, pg 615
- Dr Austin Maths - Theoretical Probability with Dice Practice GridQuestions PDF · Answers
- Dr Austin Maths - Theoretical Probability with Spinners Practice GridQuestions PDF · Answers
- Dr Austin Maths - Theoretical Probability with Counters Practice GridQuestions PDF · Answers
- Dr Austin Maths - Theoretical Probability with Playing Cards Practice GridQuestions PDF · Answers
Terminology
- Outcome
- Favourable outcome
- Sample space
- Independent event
- Dependent event
- Mutually exclusive
- Certain (P = 1)
- Impossible (P = 0)
- Likely / Unlikely
- Random
Task goals
- Place an event on a 0-to-1 probability scale and describe its likelihood using everyday language (impossible, unlikely, even chance, likely, certain).
- Distinguish theoretical probability (calculated from a sample space of equally likely outcomes) from experimental probability (based on trial results), and explain that experimental results vary between repeated trials even when the theoretical probability is fixed.
- Identify the sample space of a simple experiment (a die, a spinner, a deck of cards, a bag of counters) and use it to find a basic probability as favourable outcomes over total outcomes.
- Express a basic probability as a fraction, a decimal, and a percentage.
- Use the complement rule (P(not A) = 1 - P(A)) and recognise that mutually exclusive event probabilities add, while independent event probabilities multiply.
- Explain why a calculated probability outside the range 0 to 1 must be an error.
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
You are here
Basic Probability
Systematically listing outcomes for the sample space
Statement▸
The estimated probability of an event from an experiment is the number of times the event happens divided by the total number of trials in the experiment (i.e. the relative frequency for that event).
Statement▸
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. Or extend with: Inverse Normal Distribution, The Standard Normal Distribution.
Also under S4-4:
Also under S4-3:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.