Can you think of a set with infinite elements? There are plenty of them out there -- all the even numbers, all the natural numbers, all the real numbers ... but how would you say how big these sets are? Are some kinds of infinity "bigger" than others? In this class we will look at infinite sets and how they relate with one another.

People have good intuitions about a lot of things, but probability isn't one of them. The world of probability is full of unintuitive results and surprises that most people will trip over. We'll go through several of these examples, starting with the famous Monty Hall problem and moving on to answer questions such as "Do men have more sisters than women?", famous paradoxes like Simpson's paradox, and others. Note: This course will likely not involve bananas in any way. The banana peels are purely metaphorical.