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probability
visual-tools
Probability Visual Tools
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29 tools · 7 categories
Probability Functions & CDF
Simulators
Conditional Probability
Distributions
Expected Value & Variance
Inequalities
Venn Diagrams
Other
5 tools
Cumulative Distribution Function Visualizers
Continuous Distributions CDF Visualizer
Discrete Distributions CDF Visualizer
Discrete Probability Distributions
Continuous Probability Distributions
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Explore Interactive Probability Tools
Master concepts through hands-on visualization...
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29
Tools
7
Categories
100%
Free
5 tools
Probability Functions & CDF
1
Cumulative Distribution Function Visualizers
Understand cumulative distribution functions through interactive charts for discrete (Binomial, Poisson, Geometric) and continuous distributions (Normal, Exponential, Uniform). Adjust parameters to see how probability accumulates across different distributions with real-time CDF visualizations.
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1
Continuous Distributions CDF Visualizer
Visualize smooth cumulative distribution functions for continuous probability distributions. Adjust parameters, explore curves, calculate probabilities.
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1
Discrete Distributions CDF Visualizer
Visualize cumulative distribution functions for discrete probability distributions. Adjust parameters, explore step functions, calculate probabilities interactively.
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P(X = x)
Discrete Probability Distributions
Interactive discrete probability distribution visualizer with Binomial, Poisson, Geometric and more. Explore probability mass functions with real-time parameter controls and calculations.
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area = 1
Continuous Probability Distributions
Interactive continuous probability distribution visualizer with Normal, Exponential, Uniform distributions. Explore probability density functions with real-time PDF/CDF toggle and parameter controls.
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2 tools
Simulators
H
0.5
Coin Toss Probability Simulator and Calculator
Flip a fair or biased coin thousands of times and watch the Law of Large Numbers pull results toward theory, or map the complete sample space for up to six flips and calculate the probability of any pattern you highlight.
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Dice Roll Probability Simulator and Calculator
Roll up to six dice and watch frequency distributions converge to theoretical patterns, or explore the complete sample space and filter by conditions like sum equals 7 to compute exact probabilities.
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6 tools
Conditional Probability
.7
.3
Tree Diagram - Conditional Probability Visualization
Interactive probability tree diagram with adjustable P(A), P(B|A), and P(B|Aᶜ). Visualize sequential events, joint probabilities, and Bayes' theorem.
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A
B
P(A | B)
Venn Diagram - Conditional Probability Visualization
Interactive Venn diagram showing conditional probability through partitioned sample space. Click compartments to see P(A|Bᵢ) calculations with area-based explanations.
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100 squares
Waffle Chart - Conditional Probability Visualization
Interactive waffle chart showing conditional probability across four regions. Adjust event distribution to see how P(Event|Region) differs from total probability P(Event).
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joint cell
Contingency Table - Conditional Probability Visualization
Interactive 2×2 contingency table with adjustable P(A), P(B|A), P(B|Aᶜ). See joint, marginal, and conditional probabilities with clickable highlighting.
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1.0
joint · marginal
Interactive Contingency Tables Visualizer
Interactive contingency tables for visualizing joint, marginal, and conditional probabilities. Click cells and conditional rows to highlight relationships and see how Bayes' theorem connects different probability perspectives. Available in 2×2, 2×3, 2×4, and 3×3 configurations with detailed explanations for each state.
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B₁
B₂
B₃
A
Σ P(A|B)P(B)
Total Probability Visualizer
Calculate marginal probabilities using the law of total probability with an interactive tree diagram. The tool shows how probabilities flow through partitioned sample spaces, displaying joint probabilities, conditional probabilities, and Bayes' theorem calculations in real-time.
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9 tools · 2 sub-groups
Distributions
Discrete
6 tools
Binomial Distribution Calculator
Calculate binomial probabilities for n trials with success probability p. Interactive tool with PMF/CDF visualization, parameter controls, and step-by-step probability calculations.
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1st
Geometric Distribution Calculator
Calculate geometric probabilities for trials until first success. Interactive calculator with memoryless property visualization, PMF/CDF charts, and comprehensive probability tools.
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r = 3
Negative Binomial Distribution Calculator
Calculate negative binomial probabilities for trials needed to achieve r successes. Interactive tool with PMF/CDF visualization and comprehensive probability calculations.
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λ
Poisson Distribution Calculator
Calculate Poisson probabilities for events in fixed intervals. Interactive rate parameter λ control with PMF/CDF visualization and comprehensive probability tools.
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no
repl.
Hypergeometric Distribution Calculator
Calculate hypergeometric probabilities for sampling without replacement from finite populations. Interactive N, K, n parameter controls with comprehensive probability calculations.
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1/n each
Discrete Uniform Distribution Calculator
Calculate discrete uniform probabilities for equally likely outcomes. Interactive tool for finite uniform distributions with parameter controls and probability calculations.
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Continuous
3 tools
μ
Normal Distribution Calculator
Calculate normal distribution probabilities with interactive μ and σ controls. Includes PDF/CDF visualization, Z-score calculator, and 68-95-99.7 empirical rule display.
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λe
Exponential Distribution Calculator
Calculate exponential distribution probabilities for time between events. Interactive λ parameter control with PDF/CDF visualization and memoryless property demonstration.
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a
b
Continuous Uniform Distribution Calculator
Calculate continuous uniform probabilities over intervals [a,b]. Interactive bounds control with constant PDF visualization and linear CDF display.
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3 tools
Expected Value & Variance
E[X]
Discrete Expected Value Visualization
Interactive discrete expected value visualization with adjustable probability sliders. See E[X] formula, bar chart, and contribution breakdown for PMF.
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w₁
w₂
w₃
Weighted Expected Value Visualizer
Interactive visualization showing expected value as probability-weighted average. See how probability weights pull E[X] with preset distributions and animation.
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σ²
Interactive Variance Calculator and Visualizer
Drag data points and watch variance update in real time as deviations from the mean become visually tangible through interactive bars and step-by-step calculations.
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2 tools
Inequalities
a
P(X≥a)
Markov Inequality Visualizer
Interactive Markov inequality tool showing P(X ≥ a) ≤ E[X]/a across 9 distributions. Compare bounds to actual tail probabilities in real time.
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μ ± kσ
Chebyshev Inequality Visualizer
Interactive Chebyshev inequality tool showing P(|X-μ| ≥ a) ≤ σ²/a² across 9 distributions. Visualize two-tailed bounds with mean and variance controls.
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2 tools
Venn Diagrams
0.3
0.4
0.2
P(A ∪ B)
2-Set Venn Diagram Tool
Interactive 2-set Venn diagram for probability calculations. Click segments, explore intersections, unions, and complements with step-by-step solutions.
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.2
.2
.2
.1
three events
3-Set Venn Diagram Tool
Interactive 3-set Venn diagram for complex probability problems. Visualize 8 regions, solve systems of equations, and explore triple intersections with calculations.
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