Probability Visualizer

Master probability theory through interactive simulations, visual proofs, and hands-on experiments

5
Topics
18
Simulations
∞
Experiments
100%
Interactive

Explore Topics

01

Basic Axioms & Set Theory

Addition rule, inclusion-exclusion, De Morgan's laws, and fundamental probability bounds.

1.1 Addition Rule P(A∪B) Very Easy 1.2 Set Operations Very Easy 🎮 3D Venn Diagram (Three.js) 3D 2.3 Probability Bounds Easy 3.1 Independence Proof Normal
02

Independence

Check and utilize P(A∩B) = P(A)P(B), solve systems, and explore divisibility patterns.

1.3 Divisibility Independence Very Easy 2.1 Equation Solver Easy 3.2 Coin Toss Independence Normal 4.1 General Divisibility Difficult
03

Conditional & Bayes' Theorem

Reverse probability, inference problems, medical tests, factory defects, and urns.

2.4 Total Probability Law Easy 2.5 Radar Detection Easy 2.6 Factory Defects Easy 3.4 Biased Coin Inference Normal 3.5 Medical Diagnosis Normal 3.7 Urn Transfer Normal
04

Discrete Random Variables

Dice experiments, sample spaces, conditional probabilities, and sequential games.

2.2 Dice Min/Max Easy 3.3 Sequential Dice Game Normal
05

Stochastic Processes

Galton-Watson branching, extinction probabilities, and geometric series.

4.2 Bacteria Extinction Difficult