Probability & Likelihood

Define outcomes and sample spaces. Customize spinner wedge shares, analyze theoretical probabilities, run experimental trials, and watch convergence map the Law of Large Numbers.

Interactive Sandbox

Custom Wedge Spinner & LLN Convergence

Adjust the sliders to allocate wedge shares for each color. Click the "Spin" button to run a physical rotation, or generate batch trials to see the cumulative results.

Law of Large Numbers (Selected Category)

1. Wedge Shares configuration

Red: 4 shares
Blue: 2 shares
Green: 1 shares
Yellow: 1 shares

Likelihood Scale (Selected Color)

0.0%
Impossible (0) Even (0.5) Certain (1.0)
Color Wedge Shares Theoretical P Exp. Count Exp. P Error Delta
Algebraic Solver

Theoretical & Experimental Traces

Trace how theoretical likelihood ratios are computed from wedge shares and compared against experimental findings.

Calculation Walkthrough

Trials Summary


Total Spin Trials (N)

N = 0 spins

Average Deviation (Error Margin)

Mean Error = 0.00%

Likelihood Description

Likely

Evaluation

Probability & Likelihood Quiz

Test your understanding of basic probability formulas, sample space definitions, and experimental convergence.

Question 1 of 5 Score: 0/0

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Correct Answer!

Explanation text...

Likelihood Scale Guide


  • Impossible (0%): Cannot happen (e.g., probability = 0).
  • Unlikely (0% - 50%): Not expected to happen.
  • Even Chance (50%): Equally likely to happen or not (e.g., coin toss).
  • Likely (50% - 100%): Expected to happen, but not guaranteed.
  • Certain (100%): Guaranteed to happen (e.g., probability = 1).