The Pennsylvania State University, Spring 2015

STAT/MATH 414, Section 002: 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 newspapers 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 life and experiences.

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