Many introductory statistics students learn and apply some basic probability rules, but introductory courses generally remain focused on statistical analysis. In Probability, we delve deeper into probability rules. Using just four probability axioms, we find we can establish and prove additional probability rules. We learn to use combinatorics to answer questions like “What is the probability of being dealt a flush while playing poker?” Using Monte Carlo simulation, we can answer questions like “What is the probability that two people in a class have a birthday within a day of one another?”

In addition to learning and applying fun probability rules, probability students also learn important theory that forms the basis of statistics. Topics include random variables, probability distributions (including Binomial, Poisson, Normal, Negative Binomial) and their characteristics, and joint densities. See the syllabus for a complete list of topics covered and a general outline of the course.

Click here for the course syllabus.

Click here to see student work on “brand name” distributions.