Probability Theory Teacher Resources

This comprehensive study guide contains 897 fully solved probability and statistics problems with explanations. Topic covered includes basic probability, sampling theory, regression, and more.

In this Wireless Philosophy video, Jonathan Weisberg (University of Toronto) explains Bertrand's Paradox, a famous paradox in probability theory. Beginning with the square factory example, he talks about how Bertrand's Paradox reveals a...

This task uses the same situation to explore different concepts of probability theory. Aligns with the S-CP.A.2.; S-CP.A.3; S-CP.A.5; and S-CP.B.7 standards.

Good introduction to Venn's life and work. Explains especially his lifelong relationship to Cambridge. Includes links to further information on Venn's "probability theory."

This site from the Stanford Encyclopedia of Philosophy discusses the philosophical and logic merits of Pascal's Wager, as well as the objections against it. Begins with a short historical and philosophical background to put the Wager in...

Peter Donnelly discusses probability theory and statistics in real-world scenarios in this video. [21:25]

This lesson focuses on Combinatorics, a branch of mathematics which is about counting. It includes 5 sections: Factorials, Permutations, Combinations, Combinatorics and Pascal's Triangle, and Combinatorics and Probability with examples...

In this Wireless Philosophy video, Ian Olasov (CUNY) introduces Bayes' Theorem of conditional probability and the related Base Rate Fallacy. [6:20]

MathWorld provides a huge mathematics encyclopedia detailing the concepts of geometry, algebra, calculus, discrete math, number theory, and other math topics--complete with formulas, diagrams, examples, and references for thorough...

Introduction to Markov chains.

This tutorial explains how to distinguish between independent and dependent events. Several examples are provided to find the probability of each type of event.

This lesson discusses the difference between probability in theory and in practice. It is 4 of 5 in the series titled "Experimental and Theoretical Probability."

Alex, Mel, and Chelsea play a game that has 6 rounds. In each round there is a single winner, and the outcomes of the rounds are independent. For each round the probability that Alex wins is $\frac{1}{2}$, and Mel is twice as likely to...

In Spanish. This is an interactive activity which introduces the basic concepts of probability theory. This unit ends with a first look at the probability of compound events.

Based off of the hit television show NUMB3RS, this lesson introduces students to the concept of conditional probability (with a couple of references to Bayesian filtering). The lesson is framed in the context of a series of suspects who...

Based off the hit television show NUMB3RS, this lesson introduces students to chaos theory, and specifically Levy flight paths. These allow students to "trace back" where an object may have originated, given its endpoint. This lesson is...

This University of St. Andrews site offers a biography of George Polya. Many links are provided.

This site, which is provided for by the University of St. Andrews, contains information on the life of Bernoulli.

This University of St. Andrews site contains a brief overview of this mathematician's accomplishments.

This page discusses sets and set theory in mathematics and probability, and it discusses the notation and properties of sets.

A chronology of the conspiracy theory deliberately created in a book, probably by Russian secret police in the late 19th century, and how that text has been used in the last 100+ years by various groups to justify antisemitic actions.

A series of pages that help us understand testing one or more components of a trend using specific comparisons, a set of coefficients, error analysis of variance and the probability value.

Students learn about complex networks and how to use graphs to represent them. They also learn that graph theory is a useful part of mathematics for studying complex networks in diverse applications of science and engineering, including...

This University of St. Andrews site contains biographical information and findings of Christiaan Huygens.