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MIT 6.041: Probabilistic Systems Analysis

MIT's rigorous introduction to probability and its applications.

4.5(1.7k)171.9K learners EN
MICreated by MIT OpenCourseWare

23h 23m

On-demand video

60

Lessons

Included

Certificate

Mobile & TV

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MIT 6.041: Probabilistic Systems Analysis
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This course includes:

  • 23h 23m on-demand video (free)
  • 60 lessons
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of completion

What you'll learn

  • Model uncertainty with probability spaces and random variables
  • Work with distributions, expectation, and variance
  • Apply Bayes' rule, limit theorems, and inference
  • Analyze random processes and Markov chains

Official study guide

The complete 61-page companion book for MIT 6.041: Probabilistic Systems Analysis, covering every module with worked examples, key terms, self-check questions, and a full glossary. Print it or read it offline.

Course content

8 sections · 60 lessons · 23h 23m

  • 1. Probability Models and AxiomsPreview51m
  • The Probability of the Difference of Two Events5m
  • Geniuses and Chocolates8m
  • Uniform Probabilities on a Square9m
  • 2. Conditioning and Bayes' Rule51m
  • A Coin Tossing Puzzle8m
  • Conditional Probability Example14m
  • The Monty Hall Problem15m

Requirements

  • •Single-variable calculus

About this course

MIT's rigorous introduction to probability and its applications. This curated learning path is organized into 8 modules and 60 lessons, taught by MIT OpenCourseWare. MegaCourse adds structure, learning outcomes, progress tracking, and a shareable certificate of completion.

Who this course is for

  • STEM students
  • Data scientists strengthening theory

Instructor

MI
MIT OpenCourseWare

Trusted creator on MegaCourse

Licensing & attribution

License: CC BY-NC-SA 4.0

Source: MIT OpenCourseWare 6.041 (John Tsitsiklis) - CC BY-NC-SA 4.0

Videos are embedded from their original creators and remain free to watch. MegaCourse's paid layer covers our own study guides, graded exams, certificates, and curation.

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