What happened when a gambler asked for help from a mathematician? The formal study of Probability. Infinite Series is available to stream on pbs.org and the free PBS App, available on iPhone, Apple TV ...

Text: A First Course in Probability by Sheldon Ross. Pearson, 9th ed, 2012, ISBN: 032179477X. Course goals: This course will develop the fundamental principles of probability as well as an ...

It is a common view that the axioms of probability can be derived from the following assumptions: ( a) probabilities reflect (rational) degrees of belief; (b) degrees of belief can be measured as ...

This course builds a rigorous foundation of probability. Topics covered include: basic concepts of probability theory and statistics, counting, axioms of probability, independence, Bayes rule, ...

In mathematics and statistics, a probability distribution, more properly called a probability density, assigns to every interval of the real numbers a probability, so that the probability axioms are ...

Possibility theory and conditional probability offer complementary perspectives for modelling uncertainty, with each framework contributing distinct advantages. Possibility theory, rooted in fuzzy set ...

Introduction to probability theory and its applications. Axioms of probability, distributions, discrete and continuous random variables, conditional and joint distributions, correlation, limit laws, ...