This course is about the mathematics of uncertainty, where we use the ideas of probability to describe patterns in chance phenomena. Probability is the basis of statistics and game theory, and is immensely useful in many fields including business, social and physical sciences, and medicine. The first part of the course focuses on probability theory (random variables, conditional probability, probability distributions). The second part discusses topics from statistics (sampling, estimation, confidence interval, hypothesis testing). Applications are mostly taken from economics.