Back to Probability Foundations for Data Science and AI
University of Colorado Boulder

Probability Foundations for Data Science and AI

Understand the foundations of probability and its relationship to statistics and data science.  We’ll learn what it means to calculate a probability, independent and dependent outcomes, and conditional events.  We’ll study discrete and continuous random variables and see how this fits with data collection.  We’ll end the course with Gaussian (normal) random variables and the Central Limit Theorem and understand its fundamental importance for all of statistics and data science. This course can be taken for academic credit as part of CU Boulder’s Master of Science in Data Science (MS-DS) and the Master of Science in Artificial Intelligence (MS-AI) degrees offered on the Coursera platform. These interdisciplinary degrees bring together faculty from CU Boulder’s departments of Applied Mathematics, Computer Science, Information Science, and others. With performance-based admissions and no application process, the CU degrees on Coursera are ideal for individuals with a broad range of undergraduate education and/or professional experience in computer science, information science, mathematics, and statistics. Learn more about the MS-DS program at https://www.coursera.org/degrees/master-of-science-data-science-boulder. Learn more about the MS-AI program at https://www.coursera.org/degrees/ms-artificial-intelligence-boulder Logo adapted from photo by Christopher Burns on Unsplash.

Status: Probability Distribution
Status: Probability & Statistics
IntermediateCourse42 hours

Featured reviews

CD

5.0Reviewed Oct 18, 2024

Thanks for this course to provide crucial information about Probabilities!

HP

5.0Reviewed Jun 2, 2024

Thank you to everyone who put a lot of effort into making this course; it is really helpful.

TQ

5.0Reviewed Mar 4, 2023

This course taught me the basics of probability, R programming, and Latex. I am deeply grateful to Prof. Anne Dougherty, UC Boulder, and Coursera for this tough but wonderful experience.

PC

5.0Reviewed Sep 2, 2023

Formula sheet a bit wrong and some lectures out of order. But, great course to get into stats!

JB

5.0Reviewed Dec 9, 2022

This is an excellent course to review foundational probability concepts. The instructor speaks clearly and goes through examples thoroughly for each concept.

PK

4.0Reviewed May 4, 2025

I would suggest to provide coding videos or solution for such coding problems so that we can easily understand and solve the questions

RR

4.0Reviewed Feb 18, 2024

Rounding could be the reason for homework mistakes

ES

4.0Reviewed Oct 10, 2021

The instructor is very good, more examples need to be added, there are mistakes in the evaluation

MB

5.0Reviewed Jun 15, 2022

This is a great course on probability. Although I felt like it was too easy and should include more PDFs (such as Beta and Gamma) and random variable transformations.

JB

5.0Reviewed Jul 21, 2024

Very well presented material with invaluable and illuminating labs, quizes, and programming assignments. I felt like the pace and assignment difficulty were perfect.

AH

5.0Reviewed Dec 5, 2024

I loved it. The course is very well structured with meaningful practice laboratories and good video explanations. Totally recomend

PP

4.0Reviewed Apr 17, 2022

Need to brush up integral calculus for thios course. Something I haven't looked at for 40 years.

All reviews

Showing: 20 of 66

Cora Middleton
1.0
Reviewed Nov 20, 2021
Mattia Guerri
1.0
Reviewed Dec 18, 2021
Rob Eidson
1.0
Reviewed Mar 6, 2023
Nakul Gaur
1.0
Reviewed May 21, 2023
Connor Morgan
2.0
Reviewed Mar 29, 2023
Ke Ma
1.0
Reviewed Nov 15, 2021
Derek Baker
4.0
Reviewed Jun 18, 2022
Michelle White
4.0
Reviewed Apr 30, 2022
Essam Sayed
4.0
Reviewed Oct 11, 2021
Paul Rosson Phelps
4.0
Reviewed Apr 18, 2022
Derek Alan Kirsch
5.0
Reviewed May 3, 2024
Alex HUNSBERGER
5.0
Reviewed Aug 26, 2022
Kevin Huang
3.0
Reviewed May 14, 2022
Tim Sisson
5.0
Reviewed Sep 5, 2021
Michael Bryant
5.0
Reviewed Jun 16, 2022
Nathan Hellweg
4.0
Reviewed Mar 23, 2022
Elena K
5.0
Reviewed Mar 16, 2023
roger
5.0
Reviewed Feb 8, 2024
Joseph Bae
5.0
Reviewed Dec 10, 2022
Jun Imamura
5.0
Reviewed Oct 13, 2021