Mammath

Probability Dice Simulator

Visualize sum distributions of two rolled dice in real-time

🎲 Dice Arena (2x Dice Sum)
Synthesized Sound Effects
Simulating 50,000 rolls...
📊 Outcome Distribution (Sum 2 - 12)
20%
16%
12%
8%
4%
0%
0
0
0
0
0
0
0
0
0
0
0
2
3
4
5
6
7
8
9
10
11
12
0
Total Rolls
-
Last Sum (D1 + D2)
0.00
Mean (Expected 7.00)
0.000
Std Deviation (σ)
0.00 (p = 1.0000)
Insufficient Data
Chi-Square Test (Goodness of Fit, df=10)

The Law of Large Numbers applies here to the sum of two independent random variables. While individual dice are uniform, their sum matches a triangular distribution peaking at 7 (\(16.67\%\)) and tapering to 2 and 12 (\(2.78\%\)). The expected average converges to \(\mu = 7.00\).