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Probability

Probability is the mathematics of uncertainty. It quantifies how often things happen — or, on a different reading, how much we should believe they will.

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Probability is the mathematics of uncertainty. It quantifies how often things happen — or, on a different reading, how much we should believe they will. Key sections include: Proba bility.; Opening What probability is.; Chapter I Gambling problems.; Chapter II Cardano's Liber de ludo aleae.; Chapter III The 1654 correspondence.; Chapter IV The first textbook.; Chapter V The law of large numbers.; Chapter VI The normal approximation.; Chapter VII Bayes's theorem.; Chapter VIII Laplace, the consolidator..

Key sections

  • 01Proba bility.
  • 02Opening What probability is.
  • 03Chapter I Gambling problems.
  • 04Chapter II Cardano's Liber de ludo aleae.
  • 05Chapter III The 1654 correspondence.
  • 06Chapter IV The first textbook.
  • 07Chapter V The law of large numbers.
  • 08Chapter VI The normal approximation.

Topics covered

mathematicsprobability

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Slide outline
  1. 01Proba bility.
  2. 02Opening What probability is.
  3. 03Chapter I Gambling problems.
  4. 04Chapter II Cardano's Liber de ludo aleae.
  5. 05Chapter III The 1654 correspondence.
  6. 06Chapter IV The first textbook.
  7. 07Chapter V The law of large numbers.
  8. 08Chapter VI The normal approximation.
  9. 09Chapter VII Bayes's theorem.
  10. 10Chapter VIII Laplace, the consolidator.
  11. 11Chapter IX Random variables.
  12. 12Chapter X The standard distributions.
  13. 13Chapter XI The central limit theorem.
  14. 14Chapter XII Markov chains.
  15. 15Chapter XIII The 1933 axioms.
  16. 16Chapter XIV Measure-theoretic probability.
  17. 17Chapter XV Conditional probability.
  18. 18Chapter XVI Two interpretations.
  19. 19Chapter XVII Stochastic processes.
  20. 20Chapter XVIII Brownian motion.
  21. 21Chapter XIX Ergodic theory.
  22. 22Chapter XX Probability in physics.
  23. 23Chapter XXI Probability in genetics.
  24. 24Chapter XXII Probability in finance.
  25. 25Chapter XXIII Game theory.
  26. 26Chapter XXIV The Monty Hall problem.
  27. 27Chapter XXV The birthday paradox.
  28. 28Chapter XXVI Statistical paradoxes.
  29. 29Chapter XXVII Probability in machine learning.
  30. 30Chapter XXVIII Quantum probability.
  31. 31Chapter XXIX Twenty essentials.
  32. 32Chapter XXX Watch & read.
  33. 33Chapter XXXI Where to begin.
  34. 34The end of the deck.
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Updated
2026-05-17
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