Course Notes

• Experiments, Sample spaces, Probability Measures, Conditional Probability, and Independence
• Counting and Combinatorics (Sampling, Binomial and Multinomial Coefficients, Inclusion/Exclusion)
• Random Variables, Expectation, Bernoulli Trials
• Variance, Covariance, Tchebycheff's Inequality, Law of Large Numbers, Confidence
• William Steiger's hand-out for the Law of Large Numbers on Geometric Random Variables
• Generating Functions
• Random Walks