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Probability Fundamentals (2021)

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.

Interactive
lessons

19
  1. 1

    Introduction

    Start by understanding and strengthening your existing probabilistic intuition!

  2. 2

    Principles of Probability

    What are the odds of getting all these problems right?

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      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.

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      Complements

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

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      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.

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      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 common.

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      Complementary Probabilities

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

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      Using Symmetry

      When things are balanced, you can use these shortcuts.

  4. 4

    Fairness and Expected Value

    Evaluate games and their fairness.

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      Introduction to Fairness

      When do players have an equal chance of winning?

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      Barbotte

      Test your knowledge of fairness with a real dice game.

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      Roulette

      Calculate some bets on the classic casino game.

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      Piglet

      Untangle the strategies behind this progressive dice game.