| Wed 23 | Course Presentation, Simulations of Discrete Distributions | 1.1 |
| Thu 24 | Discrete Probability Distributions | 1.2 |
| Fri 25 | Some problems: de Méré's problem, St Petersburg. | |
| Mon 28 | Simulation of Continuous Distributions | 2.1 |
| Tue 29 | Continuous density functions | 2.2 |
| Wed 30 | Combinatorics : permutations | 3.1 |
| Thu 1 | Section - Problems with equally likely outcomes. | |
| Fri 2 | Problem Session -The birthday problem. | |
| Mon 5 | Combinations, binomial coefiicients. | 3.2 |
| Tue 6 | Binomial Distribution | 3.2 |
| Wed 7 | Discrete Conditional Probability | 4.1 |
| Thu 8 | Section - Inclusion -Exclusion Principle and Binomial. | |
| Fri 9 | Problem Session - The Matching problem. | |
| Mon 12 | Independence and Joint Probability Distributions. | 4.1 |
| Tue 13 | Bayes Formula. | 4.1 |
| Wed 14 | Continuous case of conditional probability. | 4.2 |
| Thu 15 | Section - False positives. | |
| Fri 16 | Problem Session - The Monty Hall Problem. | |
| Mon 19 | Independence | 4.2 |
| Tue 20 | Joint continuous distributions, Beta density. | 4.2 |
| Wed 21 | Paradoxes. | 4.3 |
| Thu 22 | Revisions for Midterm. | |
| Fri 23 | First Midterm Exam. | |
| Mon 26 | Discrete Distributions: uniform, geometric, negative binomial | 5.1 |
| Tue 27 | Poisson Distribution. | 5.1 |
| Wed 28 | Hypergeometric distribution. | |
| Thu 29 | Section - Mule kicks and bombs. | |
| Fri 30 | Buffon's needle. | |
| Mon 2 | Exponential and Gamma | 5.2 |
| Tue 3 | Normal Density | 5.2 |
| Wed 4 | Expected Value, conditional expected value. | 6.1 |
| Thu 5 | Section - Chi-square density | |
| Fri 6 | Problem Session - Pascal and Stock Prices. | |
| Mon 9 | Variance of discrete random variables. | 6.2 |
| Tue 10 | Expected value of continuous random variables. | 6.3 |
| Wed 11 | Variance of continuous random variables. | 6.3 |
| Thu 12 | Revisions for Midterm. | |
| Fri 13 | Second Midterm Exam. | |
| Mon 16 | Sums of discrete random variables. | 7.1 |
| Tue 17 | Sums of continuous random variables. | 7.2 |
| Wed 18 | Laws of large numbers. | 8.1 |
| Thu 19 | Section: Using indicator functions. | |
| Fri 20 | Problem session - Covariance and Independence. | |
| Mon 23 | Approximation of normal to the Binomial. | 9.1 |
| Tue 24 | Central Limit theorem for sums of discrete iid rv's. | 9.2 |
| Wed 25 | Overbooking and other applications of the clt. | |
| Thu 26 | THANKSGIVING | |
| Fri 27 | THANKSGIVING | |
| Mon 30 | Central Limit for sums of iid continuous rv's. | |
| Tue 1 | Examples of non -iid random variables: Markov Chains | |
| Wed 2 | Applications : random walks. | |
| Thu 3 | Section - Order statistics. | |
| Fri 4 | Complete Review. | |
| Wed 9 | FINAL EXAM -no make-up |