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Topic · in development — big ideas below

Probability & statistics

Honest reasoning under uncertainty.

You can't know whether the coin lands heads — but you can know exactly how often it will in the long run. Probability quantifies uncertainty; statistics reads evidence backwards from data to truth. Together they're the mathematics of not being fooled.

The big ideas

Randomness has structure

A single die roll is unpredictable; a million rolls are astonishingly predictable. Probability is the study of that long-run order.

The normal curve keeps showing up

Add up many small independent influences — measurement errors, genetics, luck — and a bell curve emerges, almost no matter what. That's the central limit theorem, and it's why the bell is everywhere.

Evidence is a comparison

Data never proves alone — it shifts belief between competing explanations. “How surprising would this result be if nothing real were happening?” is the question behind every honest study.

Out in the world

Medical trials

Whether a drug works is a statistics question — separating real effect from lucky samples.

A/B testing

Every product decision backed by an experiment runs on hypothesis testing.

Insurance & risk

Premiums are expected values; the entire industry is applied probability.

The planned course

  1. 01Thinking in probabilitiesOdds, chance, and the rules of combining them.soon
  2. 02DistributionsThe shapes randomness takes.soon
  3. 03Mean, spread & the bell curveSummarizing data without lying.soon
  4. 04Sampling & confidenceHow much can a small sample really say?soon
  5. 05Hypothesis testingSurprise, evidence, and p-values — demystified.soon
  6. 06Bayes' ruleUpdating beliefs like a rational detective.soon

While you wait — this connects to material that's live now