Week 
Topic 
1 
 Sample spaces, events, outcomes
 Probabilities defined on events
 Conditional probabilities

2 
 Independent probabilities
 Bayes' formula
 Introduction to random variables

3 
 Discrete random variables
 Continuous random variables

4 
 The expected value
 The variance

5 
Midterm exam 
6 
 Jointly distributed random variables
 Joint distribution functions

7 
 Independent RVs
 Covariance and variance of sums of RVs

8 
 The law of large numbers
 The central limit theorem

9 
 Applications of the central limit theorem
