STAT/MATH 414, Section 004: Introduction to Probability Theory
This course introduces the fundamentals and axioms of probability theory. Topics covered include:
combinatorial probability, the laws of probability, conditional probability and independence, Bayes'
Theorem, random variables, expectation, Gambler's Ruin, Chebyshev's inequality, Laws of Large
Numbers, and the Central Limit Theorem. Applications to a variety of fields will be explored.
Throughout the course, we will monitor the
New York Times and
Centre Daily Times
for articles involving applications of probability.
We will study the probabilistic information in such
articles and relate them to the
subject of the course and to our everyday lives and experiences.