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Probability & Statistics: Uncharted

CoursesProbability & Statistics

Probability & Statistics

How likely is it, and how sure can you be? Master chance, data, and inference through the decisions they power: games, tests, polls, and the charts that try to fool you.

Easy to Intermediate to Hard
12 units
240 lessons

Follow the units in order, or explore any lesson that interests you.

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Course syllabus

12 units

1. Chance
How likely is it, really? Build chance from fractions, areas, outcomes, and long-run evidence.
20 lessonsStart here
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2. Describing Data
One number for many: build displays, balance the mean, resist the outlier, and read charts with a skeptic's eye.
20 lessons
3. Counting Without Listing
Count huge outcome spaces by reading their structure: stages, ordered roles, unordered groups, and complements.
20 lessons
4. When One Thing Changes Another
Shrink the denominator honestly, follow probability trees, and update beliefs without reversing the question.
20 lessons
5. What to Expect
Weight uncertain payoffs, compare spread, and make decisions that respect both averages and ruin risk.
20 lessons
6. The Shapes of Chance
Build, compare, simulate, and interpret binomial, waiting-time, and other probability distributions.
20 lessons
7. The Bell Curve
Read normal shapes, standardize values, and explain why sums and averages become steady.
20 lessons
8. Samples and Surveys
Design representative samples, diagnose survey bias, and reason about sample-to-sample variability.
20 lessons
9. How Sure Are You
Build margins and confidence intervals, plan precision, and report uncertainty without overclaiming.
20 lessons
10. Testing Claims
Build tests from skeptical benchmarks, interpret p-values, manage errors, and defend against flexible analysis.
20 lessons
11. Two Variables
Read paired data, measure association, fit cautious predictions, and refuse to turn correlation into causation.
20 lessons
12. Decide with Data
Replay the statistical toolkit through risk, communication, integrity, and consequential real-world decisions.
20 lessons

240 lessons across 12 units. Start with any published unit.