Probability Fundamentals

Take a chance and explore the math of unpredictability.

Life is full of all sorts of risks, chances, and gambles.

With this course, you'll learn to analyze probabilistic scenarios and optimize your chances to win probabilistic games. By the end of this course, you’ll have mastered many foundational topics including fairness, expected value, and using symmetry to simplify probability problems.

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1. 1

Introduction

Start by understanding and strengthening your existing probabilistic intuition!

1. Test Your Probabilistic Intuition

How closely does your intuition match reality?

2. Common Fallacies

Learn to avoid some very common types of mistakes.

3. Counting and Probability

There's an essential and fundamental connection between counting problems and probability problems.

2. 2

Starting With Probability

What are the odds of getting all these problems right?

1. Included with

Using Outcomes

Strengthen your intuition for probabilistic math by thinking systematically about outcomes.

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Outcome Distributions

Learn how to create and use distribution charts to tackle challenging problems.

3. Included with

Complements

Learn how and when to switch perspectives and ask, "When does this event NOT happen?".

4. Included with

Expected Value

Practice making smart, strategic decisions, even when the outcomes are uncertain.

3. 3

Roll the Dice

Roll the dice! Take a chance! But know what the risk is.

1. Included with

The Rules of Sum and Product

Get starting using dice to explore the Rule of Sum and Rule of Product.

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Common Intuitive Fallacies

Avoid the pitfalls of probability in situations where mistakes are very common.

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Complementary Probabilities

When is it easier to find the probability of something NOT happening?

4. Included with

Using Symmetry

When things are balanced, you can use these shortcuts.

4. 4

Fairness and Expected Value

Evaluate games and their fairness.

1. Included with

Introduction to Fairness

When do players have an equal chance of winning?

2. Included with

Barbotte

Test your knowledge of fairness with a real dice game.

3. Included with