“I liked Dataquest because I can control how fast I do the problems. The small scale projects help to make the transition from concepts to the real thing.”

Dong Zhou

Senior Scientist @Schrödinger

Course overview

In this course, you’ll learn the difference between theoretical and experimental probability, and you’ll calculate the probabilities for a variety of different events. You’ll also learn the number of permutations and combinations possible in experiment outcomes.
You’ll apply this knowledge in a guided project to build the logic for a mobile app that estimates lottery odds.

Best of all, you’ll learn by doing — you’ll practice and get feedback directly in the browser.

Key skills

  • Estimating theoretical and empirical probabilities
  • Understanding the fundamental rules of probability
  • Calculating combinations and permutations

Course outline

Introduction to Probability in R [5 lessons]

Estimating Probabilities 1h

Lesson Objectives
  • Define random experiments
  • Estimate theoretical probabilities
  • Estimate empirical probabilities

Probability Rules 1h

Lesson Objectives
  • Employ set notation
  • Read Venn diagrams
  • Define unions, intersections, and complements
  • Define the addition rule to calculate probabilities

Probabilities of Multiple Random Experiments 1h

Lesson Objectives
  • Define the multiplication rule of probability
  • Identify independent and dependent events
  • Employ complements to solve problems

Permutations and Combinations 1h

Lesson Objectives
  • Define the Rule of Product
  • Define permutations
  • Define combinations

Guided Project: Mobile App for Lottery Addiction 1h

Lesson Objectives
  • Expand your portfolio with a guided probability project
  • Add business value using probability and combinatorics

Projects in this course

Guided Project: Mobile App for Lottery Addiction

For this project, you’ll take on the role of a data analyst at a medical institute, using probability and combinatorics in R to develop a mobile app that helps lottery addicts better estimate their chances of winning.

The Dataquest guarantee


Dataquest has helped thousands of people start new careers in data. If you put in the work and follow our path, you’ll master data skills and grow your career.


We believe so strongly in our paths that we offer a full satisfaction guarantee. If you complete a career path on Dataquest and aren’t satisfied with your outcome, we’ll give you a refund.

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Build confidence with our in-depth projects, and show off your data skills.

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Challenge yourself with exercises

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Aaron Melton

Business Analyst at Aditi Consulting

“Dataquest starts at the most basic level, so a beginner can understand the concepts. I tried learning to code before, using Codecademy and Coursera. I struggled because I had no background in coding, and I was spending a lot of time Googling. Dataquest helped me actually learn.”


Jessica Ko

Machine Learning Engineer at Twitter

“I liked the interactive environment on Dataquest. The material was clear and well organized. I spent more time practicing then watching videos and it made me want to keep learning.”


Victoria E. Guzik

Associate Data Scientist at Callisto Media

“I really love learning on Dataquest. I looked into a couple of other options and I found that they were much too handhold-y and fill in the blank relative to Dataquest’s method. The projects on Dataquest were key to getting my job. I doubled my income!”

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