Mathematically is the sum of six Math.random() any different than (Math.random() * 6)?
Even crazier: the sum of six (Math.random()>.5)?0:1 will also look a bit like a normal distribution, rather than just 0 50% of the time and 6 50% of the time.
Central Limit Theorem eats distributions of all shapes and sizes and shits gaussians. That's why you see normal distributions everywhere.
This is like how two D6 dice roll differently than a D12?