\BOOKMARK [0][-]{chapter.1}{Discrete Probability Distributions}{}
\BOOKMARK [1][-]{section.1.1}{Simulation of Discrete Probabilities}{chapter.1}
\BOOKMARK [1][-]{section.1.2}{Discrete Probability Distributions}{chapter.1}
\BOOKMARK [0][-]{chapter.2}{Continuous Probability Densities}{}
\BOOKMARK [1][-]{section.2.1}{Simulation of Continuous Probabilities}{chapter.2}
\BOOKMARK [1][-]{section.2.2}{Continuous Density Functions}{chapter.2}
\BOOKMARK [0][-]{chapter.3}{Combinatorics}{}
\BOOKMARK [1][-]{section.3.1}{Permutations}{chapter.3}
\BOOKMARK [1][-]{section.3.2}{Combinations}{chapter.3}
\BOOKMARK [1][-]{section.3.3}{Card Shuffling}{chapter.3}
\BOOKMARK [0][-]{chapter.4}{Conditional Probability}{}
\BOOKMARK [1][-]{section.4.1}{Discrete Conditional Probability}{chapter.4}
\BOOKMARK [1][-]{section.4.2}{Continuous Conditional Probability}{chapter.4}
\BOOKMARK [1][-]{section.4.3}{Paradoxes}{chapter.4}
\BOOKMARK [0][-]{chapter.5}{Distributions and Densities}{}
\BOOKMARK [1][-]{section.5.1}{Important Distributions}{chapter.5}
\BOOKMARK [1][-]{section.5.2}{Important Densities}{chapter.5}
\BOOKMARK [0][-]{chapter.6}{Expected Value and Variance}{}
\BOOKMARK [1][-]{section.6.1}{Expected Value}{chapter.6}
\BOOKMARK [1][-]{section.6.2}{Variance of Discrete Random Variables}{chapter.6}
\BOOKMARK [1][-]{section.6.3}{Continuous Random Variables}{chapter.6}
\BOOKMARK [0][-]{chapter.7}{Sums of Random Variables}{}
\BOOKMARK [1][-]{section.7.1}{Sums of Discrete Random Variables}{chapter.7}
\BOOKMARK [1][-]{section.7.2}{Sums of Continuous Random Variables}{chapter.7}
\BOOKMARK [0][-]{chapter.8}{Law of Large Numbers}{}
\BOOKMARK [1][-]{section.8.1}{Discrete Random Variables}{chapter.8}
\BOOKMARK [1][-]{section.8.2}{Continuous Random Variables}{chapter.8}
\BOOKMARK [0][-]{chapter.9}{Central Limit Theorem}{}
\BOOKMARK [1][-]{section.9.1}{Bernoulli Trials}{chapter.9}
\BOOKMARK [1][-]{section.9.2}{Discrete Independent Trials}{chapter.9}
\BOOKMARK [1][-]{section.9.3}{Continuous Independent Trials}{chapter.9}
\BOOKMARK [0][-]{chapter.10}{Generating Functions}{}
\BOOKMARK [1][-]{section.10.1}{Discrete Distributions}{chapter.10}
\BOOKMARK [1][-]{section.10.2}{Branching Processes}{chapter.10}
\BOOKMARK [1][-]{section.10.3}{Continuous Densities}{chapter.10}
\BOOKMARK [0][-]{chapter.11}{Markov Chains}{}
\BOOKMARK [1][-]{section.11.1}{Introduction}{chapter.11}
\BOOKMARK [1][-]{section.11.2}{Absorbing Markov Chains}{chapter.11}
\BOOKMARK [1][-]{section.11.3}{Ergodic Markov Chains}{chapter.11}
\BOOKMARK [1][-]{section.11.4}{Fundamental Limit Theorem}{chapter.11}
\BOOKMARK [1][-]{section.11.5}{Mean First Passage Time}{chapter.11}
\BOOKMARK [0][-]{chapter.12}{Random Walks}{}
\BOOKMARK [1][-]{section.12.1}{Random Walks in Euclidean Space}{chapter.12}
\BOOKMARK [1][-]{section.12.2}{Gambler's Ruin}{chapter.12}
\BOOKMARK [1][-]{section.12.3}{Arc Sine Laws}{chapter.12}