Mammath

Probability Dice Simulator

Visualize the Law of Large Numbers through interactive 3D simulations

🎲 Dice Arena
Synthesized Sound Effects
Simulating 50,000 rolls...
📊 Outcome Distribution
30%
24%
18%
12%
6%
0%
Expected (16.67%)
0
0
0
0
0
0
0
Total Rolls
-
Last Roll
0.00
Mean (Expected 3.50)
0.000
Std Deviation (σ)
0.00 (p = 1.0000)
Insufficient Data
Chi-Square Test (Goodness of Fit)

The Law of Large Numbers states that as the number of trials increases, the empirical (observed) average converges to the expected theoretical mean (\(\mu = 3.50\)) and each face approaches a frequency of \(16.67\%\).