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# Introduction to Probability – The Science of Uncertainty

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MIT Online Course Highlights
• 18 weeks long
• 12 hours per week
• Self-Paced
• Taught by: John Tsitsiklis, Patrick Jaillet, Zied Ben Chaouch, Dimitri Bertsekas, Qing He, Jimmy Li, Jagdish Ramakrishnan, Katie Szeto, Kuang Xu
• View Course Syllabus

## Online Course Details:

The world is full of uncertainty: accidents, storms, unruly financial markets, noisy communications. The world is also full of data. Probabilistic modeling and the related field of statistical inference are the keys to analyzing data and making scientifically sound predictions.

Probabilistic models use the language of mathematics. But instead of relying on the traditional “theorem – proof” format, we develop the material in an intuitive — but still rigorous and mathematically precise — manner. Furthermore, while the applications are multiple and evident, we emphasize the basic concepts and methodologies that are universally applicable.

The course covers all of the basic probability concepts, including:

• multiple discrete or continuous random variables, expectations, and conditional distributions
• laws of large numbers
• the main tools of Bayesian inference methods
• an introduction to random processes (Poisson processes and Markov chains)

The contents of this course are essentially the same as those of the corresponding MIT class (Probabilistic Systems Analysis and Applied Probability) — a course that has been offered and continuously refined over more than 50 years. It is a challenging class, but it will enable you to apply the tools of probability theory to real-world applications or your research. In our latest post, we delve into the realm of probability education, offering a comprehensive guide to accessing “Free Probability Courses with Certificates.

### What you’ll learn

• The basic structure and elements of probabilistic models
• Random variables, their distributions, means, and variances
• Probabilistic calculations
• Inference methods
• Laws of large numbers and their applications
• Random processes