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04
Probability I: Foundations
The core discipline of quantitative trading: probability from first principles through the discrete distributions.
The first two lessons are free to read. Membership unlocks the full course and tracks your progress.
Become a Member01Foundations of Probability
Interpretations of ProbabilityFreeSample Spaces and EventsFree
Set Operations and Venn DiagramsMembers
The Rules of ProbabilityMembers
Complementary EventsMembers
02Combinatorics
Permutations and CombinationsMembers
Systematic Counting MethodsMembers
Sampling With and Without ReplacementMembers
03Conditional Probability
Conditional ProbabilityMembers
The Multiplication Rule and Probability TreesMembers
Bayes' TheoremMembers
IndependenceMembers
04Random Variables
Definition of a Random VariableMembers
Probability Mass, Density, and Distribution FunctionsMembers
ExpectationMembers
Variance and Standard DeviationMembers
05Joint Distributions
Joint, Marginal, and Conditional DistributionsMembers
Covariance and CorrelationMembers
Sums of Random VariablesMembers
06Discrete Distributions
The Bernoulli and Binomial DistributionsMembers
The Geometric DistributionMembers
The Poisson DistributionMembers
The Negative Binomial and Hypergeometric DistributionsMembers