Probability theory
Combinatorial models, classical and conditional probability, Bayes, moments, binomial and Poisson distributions.
Combinatorics in probability
Outcome counts, sampling and hypergeometric models.
→5Classical probability
Equally likely outcomes, complements, sums and at least one event.
→6Conditional probability
Conditional events, intersections, independence and total probability.
→6Bayes' theorem
Posterior probabilities, diagnostic tests and odds updates.
→6Expected value
Expected values of discrete variables and standard distributions.
→5Variance
Variance, standard deviation and distribution properties.
→6Binomial distribution
Success-count probabilities, mean and spread in Bernoulli trials.
→7Poisson distribution
Rare-event probabilities, rates, mean and standard deviation.
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