The Central Limit Theorem

Roll a die once — the outcome is flat: 1, 2, 3, 4, 5, 6 each equally likely. No bell in sight. Now roll 30 dice and AVERAGE them. Do it again. And again. Plot those averages. A bell curve appears — smooth, symmetric, centered at 3.5. You did nothing but average random junk, and a bell emerged from chaos. This is the Central Limit Theorem, and it's why the normal distribution is everywhere: not because nature loves bells, but because averaging anything tends toward one.