Combinatorics · Lesson
Combinatorics becomes a tool for probability: in an equally likely model we count favourable and possible outcomes.
Prerequisites: Choosing a combinatorial model
Goal: Combine counting ideas and use favourable/possible outcomes to prepare probability calculations.
Change the data, observe how the number of cases changes, and use the lab to understand the counting structure you are using.
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The positions of the heads form a combination; each toss has two outcomes, so the total number of sequences is 2^n.
Data / situation: You toss a fair coin 4 times. You want exactly 1 heads.
ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.
Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.