List of Free Online Probability Courses and Tutorials

Jan 02, 2019

Online Probability Courses for Credit

Free probability courses offering students the chance to learn without the trouble of registration or tuition can be found online, but these courses cannot provide college credit. Students trying to earn credit for school might consider the comparatively inexpensive and engaging content offered on Here, you'll find video lessons conducted by professional instructors with additional resources such as practice quizzes and lesson transcripts than can help you achieve credit while learning.

For students interested in probability, contains a course called Statistics 101: Principles of Statistics, which includes relevant chapters like:

  • Probability - Bolster your understanding of mathematical sets, probability of independent and dependent events, calculating simple conditional probabilities, and more.
  • Discrete Probability Distributions - Improve your handle on random variables, binomial experiments, finding binomial probabilities using tables, and related operations.
  • Continuous Probability Distributions - Get a better understanding of probabilities as areas of geometric regions, normal distribution, finding Z-scores, and related concepts.

Info on Free Online Courses and Tutorials on Probability

There are many free online tutorials and courses on probability available on the Web, often offered through universities' OpenCourseWare (OCW) projects. This article provides an overview of a few such resources. Courses discussed in this article cannot be taken for credit.

Free Online Probability Courses and Tutorials

Massachusetts Institute of Technology (MIT)

  • Probabilistic Systems Analysis and Applied Probability considers the analysis and modeling of random processes and phenomena. It also looks at fundamental statistical inference. The course was originally offered at both the undergraduate and graduate levels. Students can access video lectures, quizzes and exams with solutions, problem sets with solutions and tutorials. Reading assignments are from a textbook that would need to be purchased separately; selections are matched with the corresponding lecture.
  • Fundamentals of Probability covers probability fundamentals, such as limit theorems, expectation, random variables and sample space. Other topics include multivariate Gaussian distributions and measure theory. Lectures, recitations, assignments without solutions and exams without solutions are available as PDF files.
  • Introduction to Probability and Statistics covers topics like simple probability models, discrete and continuous probability distributions, linear regression and confidence intervals. Lecture notes, class assignments and exams can be downloaded as PDF files. Solutions are provided for the exams.
  • Probability and Random Variables was originally taught in the spring of 2011. Topics covered include permutations, coefficients, conditional probabilities, variance, expectation of sums and covariance. Course materials provided to OCW users include lectures, assignments and exams with solutions. The textbook is not provided; students may buy or borrow it themselves. Students should understand multivariable calculus before taking this course.
  • Theory of Probability is a graduate-level course covering random variables, Kolmogorov's theorem and large number laws. Other topics include Lindeberg's theorem of central limit, conditional expectation, uniform integrability, Lipschitz functions and Skorohod's imbedding. Lecture notes and assignments are included as PDF files.

Khan Academy

  • Probability and Statistics presents a series of videos on the subject. Users should have a background in basic algebra.These videos explore combinations, permutations, binomial distributions, the Poisson process and dependent probability.

African Virtual University

  • Probability and Statistics has three units: probability distributions and descriptive statistics; test distributions and random variables; and probability theory. A video overview of the course is available, and students can download all course materials as Word or PDF files. The student needs to have wxMaxima installed on his or her computer in order to practice algebraic concepts; that program can be downloaded for free.

Carnegie Mellon University

  • Probability and Statistics is made up of four units: exploratory data analysis, producing data, probability and inference. Each unit has a number of modules of explanatory text. Other course materials include StatTutor labs, interactive learning exercises, comprehensive tests, case studies and simulations. Students should have knowledge of basic algebra before attempting this free course. The optional activities require the user to have Minitab or Excel installed on his or her computer. Students are asked to register but can access the course without logging in.

University of California - Berkeley

  • Statistics is a series of 34 videos running approximately 40-50 minutes. The content is tailored to students with a math background looking to learn the basic concepts of probability. Some of the topics covered include estimation, testing hypotheses, expectation, random variables, discrete probability and relative frequencies.

Harvard Extension School

  • Sets, Counting, and Probability covers topics that include intuition and axioms, DeMorgan's laws, inclusion-exclusion, conditional probability, random variables and inequality. The user may watch Quicktime or Flash videos or listen to audio mp3 files. Students are also provided with lecture outlines and problem sets.
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