Te reo Māori terms
click each term to open in Te AkaLearning objective overview
Master Teaching Guide coverage for this objective.
Resources
- Alpha textbook: Tree diagrams, Ex 33.06, PG 576-578
- Dr Austin Maths - Tree Diagrams Revision Practice Grid: PDFQuestions PDF · Answers
- Beta: Skills in Ex 33.05, pg 629
- CorbettMaths on tree diagramsQuestions PDF · Answers
Terminology
- Combined events
- Tree diagram
- Branch
- Outcome
- Pathway
- With Replacement (Independent)
- Without Replacement (Dependent)
Task goals
- Read a fully-solved probability tree for two combined events and state the outcome and probability of a leaf, and the total number of outcomes.
- Find the probability of a specific combined outcome by multiplying the probabilities along its pathway (the AND rule).
- Find the probability of one of several qualifying outcomes by adding their pathway probabilities (the OR rule), including "at least one" via the complement rule (1 minus the "none" pathway).
- Complete a tree's missing branch probabilities for independent (with-replacement) events, recognising that a later branch repeats an earlier one when trials don't affect each other.
- Complete a tree's missing branch probabilities for dependent (without-replacement) events, recognising that a later branch's probabilities change depending on which earlier branch was taken.
- Complete a tree's Outcome and Probability column (the dotted-lead leaf summary) for a given set of branch probabilities, and classify a scenario as independent/with replacement or dependent/without replacement.
Key skills
- Tree diagrams
- Combined events
- And/or probability
Quick stats
- 0 total questions
- 3 difficulty levels
- Answers included
For teachers
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