Probability Through Problems

Introducing Probability

Stage: 3 and 4

What is our approach about?

Why Start with Tree Diagrams?

Stage: 3

Why the tree diagram is fundamental to studying probability - and why it should be introduced right from the start.

Probability Calculations from Tree Diagrams

Stage: 3 and 4

Progression from natural frequencies to proportions to the multiplication rule, and hence to probability trees.

Learning Probability Through Mathematical Modelling

Stage: 3 and 4

Moving from the particular to the general, then revisiting the particular in that light, and so generalising further.

Tree Diagrams, 2-way Tables and Venn Diagrams

Stage: 3, 4 and 5

Representing frequencies and probabilities diagrammatically, and using the diagrams as interpretive tools.

Independence and Dependence

Stage: 3, 4 and 5

When are events independent of each other? Sampling with and without replacement.

Conditional Probability Is Important for All Students!

Stage: 3, 4 and 5

Understanding statistics about testing for cancer or the chance that two babies in a family could die of SIDS is a crucial skill for ALL students.