Galton Board & Central Limit Theorem

Rows of Pins: 12 Animation Speed

Drop Balls

Overlay

Total Balls0

Mean—

Std Dev—

Expected σ—

Each ball hits N pins, bouncing left or right with p=0.5. By the Central Limit Theorem, the sum of N independent Bernoulli trials → Normal(N/2, √(N/4)). No matter the distribution of individual steps!