The Pennsylvania State University, Spring 2021

STAT/MATH 414, Section 003: 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 lives and experiences.

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