Counting and Events
Audience: beginners learning how to compute simple probabilities.
Learning goal: use counting to estimate probabilities of events.
When outcomes are equally likely, probability can be computed by counting favorable outcomes over total outcomes. Defining the sample space clearly keeps counting consistent. The tools for systematic counting — permutations, combinations, and binomial coefficients — are developed in combinatorics.
Check for understanding: Why does defining the sample space matter for counting?