Sections

Probability theory

Combinatorial models, classical and conditional probability, Bayes, moments, binomial and Poisson distributions.

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Combinatorics in probability

Outcome counts, sampling and hypergeometric models.

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Classical probability

Equally likely outcomes, complements, sums and at least one event.

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Conditional probability

Conditional events, intersections, independence and total probability.

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Bayes' theorem

Posterior probabilities, diagnostic tests and odds updates.

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Expected value

Expected values of discrete variables and standard distributions.

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Variance

Variance, standard deviation and distribution properties.

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Binomial distribution

Success-count probabilities, mean and spread in Bernoulli trials.

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Poisson distribution

Rare-event probabilities, rates, mean and standard deviation.

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