Interactive Demo

Probability Space Interactive

Probability Space Interactive is a free, interactive learning demo from the AP Statistics course on Lykke. It helps you build intuition for Probability Rules (Addition and Multiplication), Conditional Probability, Independence and Mutually Exclusive Events, Discrete vs. Continuous Random Variables. Play with it directly in your browser — it features 2 buttons and direct drag interaction. This demo lives in the “Unit 4: Probability, Random Variables, and Probability Distributions” section of the course.

Preview of the Probability Space Interactive interactive demo
Preview of Probability Space Interactive — play the live version below.
Loading interactive demo…

How to use this demo

  1. Click and drag directly on the canvas to manipulate the scene.
  2. Use the “Reset Space”, “Condition on Event B (P(A|B))” buttons to trigger actions or reset the demo.
  3. Experiment freely — there's nothing to break, and every change is reversible.

What you'll explore

Frequently asked questions

What does the Probability Space Interactive demo do?

Explore the laws of probability and how they govern the behavior of random variables and their long-run distributions. Probability Space Interactive turns that idea into something you can manipulate directly and watch respond.

What AP Statistics concept does Probability Space Interactive teach?

Explore the laws of probability and how they govern the behavior of random variables and their long-run distributions. It focuses on Probability Rules (Addition and Multiplication), Conditional Probability, Independence and Mutually Exclusive Events, Discrete vs. Continuous Random Variables, Mean and Standard Deviation of Random Variables, Binomial and Geometric Distributions from the “Unit 4: Probability, Random Variables, and Probability Distributions” section.

What can I control in Probability Space Interactive?

You can drag elements directly on the canvas; the “Reset Space”, “Condition on Event B (P(A|B))” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

How does Probability Space Interactive fit into the AP Statistics course?

AP Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The course is equivalent to a one-semester introductory college statistics course and focus… This demo is the interactive piece for the “Unit 4: Probability, Random Variables, and Probability Distributions” section. Open the full AP Statistics course wiki at https://www.getlykke.com/explore/public/ap-statistics-70553ac9-70f9-422d-b8b6-c328240d85c1 for notes, flashcards, quizzes and the other demos.

What will I understand better after using Probability Space Interactive?

You'll build intuition for Probability Rules (Addition and Multiplication), Conditional Probability, Independence and Mutually Exclusive Events, Discrete vs. Continuous Random Variables, Mean and Standard Deviation of Random Variables, Binomial and Geometric Distributions — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on AP Statistics alone.

From the AP Statistics course

This interactive demo is part of the Unit 4: Probability, Random Variables, and Probability Distributions section. Explore the full AP Statistics course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.

Open the AP Statistics course →