4.1 Applied Probability
Tap into a framework for understanding the world around us, from sports to science.
Thinking Probabilistically
Using Outcomes
Applications
Rule of Sum and Rule of Product
Inclusion-Exclusion
The Rule of Complement
Problem Solving
Managing Expectations
Defining Conditional Probability
Applying Conditional Probability
Bayes' Theorem
Misconceptions
Casework
Conditional Expectations
The Tennis Problem
Probability in Science
Probability in Economics
Probability in Quality Control
Geometric Probability
Bijections
Recursion
Markov Chains
Generating Functions
Course description
How can we accurately model the unpredictable world around us? How can we reason precisely about randomness? This course will guide you through the most important and enjoyable ideas in probability to help you cultivate a more quantitative worldview. By the end of this course, you’ll master the fundamentals of probability, and you’ll apply them to a wide array of problems, from games and sports to economics and science.
Topics covered
- Bayes' Theorem
- Complementary Probabilities
- Conditional Probability
- Economic Applications
- Expected Value
- Inclusion-Exclusion
- Independent Events
- Markov Chains
- Probability Misconceptions
- Recursion
- Science Applications
- The Monty Hall Problem
Prerequisites and next steps
You'll need an understanding of basic algebra, including functions. For a lighter introduction to probability, see the Casino Probability course.
Prerequisites
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4.2 Hypothesis Testing
Expand your statistics toolkit, learning how to make good decisions with limited data.
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