Probability and counting outcomes: a learning progression
Build from simple chance events to counting methods, compound probabilities, and probability models.
Before you begin
Understand fractions, ratios, and organized lists of possible outcomes.
Readiness depends on the ideas you can use, not only your age or grade. Start earlier in the sequence when an example feels unfamiliar.
How the skill develops
- List equally likely outcomes before writing a probability.
- Compare theoretical probabilities with repeated experimental results.
- Use tables or tree diagrams to avoid missing compound outcomes.
- Choose counting rules and probability distributions that match the conditions of a problem.
What grade is this taught?
Our catalog includes this progression from grade 7 through grade 11. That is a map of the practice available here, not a rule that every school uses the same schedule. Earlier grades may introduce models that later grades formalize.
The sequence is our teaching organization, informed by the published curriculum reference. High-school courses and calculus enrollment vary; check your school’s syllabus for placement decisions.
Build your next practice steps
Mark skills you already feel comfortable with. We’ll suggest the next unchecked skills in this sequence. This is a self-selected path, not a test score.