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| introduction 1 possibilities introduction tree diagrams multiplication rules permutations factorials indistinguishable objects combinations binomial coefficients 2 probabilities introduction the classical concept probabilities and odds the frequency interpretation subjective probabilities summary 3 expectations introduction mathematical expectation . expectations and subjective probabilities utility decision making 4 events introduction the sample space events compound events the number of elements in a set 5 rules of probability introduction the postulates of probability probability measures some further rules general addition rules 6 conditional probabilities introduction conditional probability multiplication rules rule of elimination bayes' rule 7 probability distributions introduction probability functions the mean the binomial distribution binomial t a bayesian application the hypergeometric distribution the geometric distribution the multinomial distribution 8 the law of large numbers introduction the standard deviation chebyshev's theorem the law of large numbers technical note summary bibliography tables answers to odd-numbered exercises index |
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