10,000 Random Balls Reveal a Hidden Law of Nature

Drop one ball through a field of pegs and you can't predict where it lands. Drop 10,000 and they draw the same curve, almost exactly, every time. This is a real, ball-by-ball simulation of a Galton board. We follow one ball's coin-flip journey, watch ten balls make a random mess, pour in a thousand and then ten thousand, and find Pascal's triangle hiding in the pegs. Then we test the central limit theorem with 100,000 dice rolls, and break the bell curve on purpose: biased pegs, and rare giant jumps that create the "heavy tails" behind market crashes. Finally, we play all 10,000 balls backwards. Chapters 0:00 10,000 Random Balls 0:37 One Ball, Two Choices 1:44 Ten Balls of Chaos 2:33 The Shape Appears 3:30 Pascal's Triangle Inside 5:14 The Bell Curve Everywhere 6:51 When the Bell Breaks 8:18 Play It Backwards Everything in this video — animations, simulations and music — was created from scratch with code. Reference: Francis Galton, Natural Inheritance (1889). If we double the number of rows, from 12 to 24, the curve gets… A) twice as wide B) about 1.41× as wide C) exactly the same Subscribe for more visual math and physics. #math #probability #galtonboard