Grinstead C.M., Snell J.L.Introduction to probability

1999. 510 pp. Electronic publication.
Contents:
Discrete Probability Distributions.
Simulation of Discrete Probabilities.
Discrete Probability Distributions.
Continuous Probability Densities.
Simulation of Continuous Probabilities.
Continuous Density Functions.
Combinatorics.
Permutations.
Combinations.
Card Shuffling.
Conditional Probability.
Discrete Conditional Probability.
Continuous Conditional Probability.
Paradoxes.
Distributions and Densities.
Important Distributions.
Important Densities.
Expected Value and Variance.
Expected Value.
Variance of Discrete Random Variables.
Continuous Random Variables.
Sums of Random Variables.
Sums of Discrete Random Variables.
Sums of Continuous Random Variables.
Law of Large Numbers.
Discrete Random Variables.
Continuous Random Variables.
Central Limit Theorem.
Beoulli Trials.
Discrete Independent Trials.
Continuous Independent Trials.
Generating Functions.
Discrete Distributions.
Branching Processes.
Continuous Densities.
Markov Chains 405.
Introduction.
Absorbing Markov Chains.
Ergodic Markov Chains.
Fundamental Limit Theorem.
Mean First Passage Time.
Random Walks 471.
Random Walks in Euclidean Space.
Gambler’s Ruin.
Arc Sine Laws.
Appendices.
Normal Distribution Table.
Galton’s Data.
Life Table.
Index.