In this class students will learn about the main techniques of calculating probabilities of events and how to make decisions under uncertainty. The material will be motivated by games (cards, dice, etc), where the techniques learned in class will help you come up with better strategies. Great emphasis will be placed on learning through solving problems and on elegant strategies for solving (difficult!) problems. Topics  Sample spaces, events  Counting Techniques  Bayes theorem, conditional probability, and independence  Random variables, expected values,  Important distributions