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M06 · Probability I

A free, illustrated L1 course of 11 modules in the Mathematics track. Modules include: Sample spaces, events and axioms; Counting and equally likely outcomes; Conditional probability and independence.

M06 L1 · Core 11 modules · about 44 lessons Planned · Ring 1

Part of the Mathematics track. Ships in Ring 1 (Foundation) of the roadmap.

Modules

1. Sample spaces, events and axioms
2. Counting and equally likely outcomes
3. Conditional probability and independence
4. Bayes’ rule
5. Discrete random variables
6. Continuous random variables and densities
7. Expectation, variance and moments
8. Common distributions and their stories
9. Joint, marginal and conditional distributions
10. Covariance and correlation
11. Law of large numbers and central limit theorem

Signature illustrations

The pictures a learner should still see in their head a year later:

Probability trees, area-as-probability diagrams, Bayes with frequency grids, a map of the distribution families, Galton board, sampling animation for the central limit theorem.

Status

This course is planned, not written yet. It ships with Ring 1 (Foundation).

Every lesson will follow the same twelve-part blueprint with at least three purpose-made figures. Watch the repository to hear when modules ship, or help write and review it.