PROBABILITY & RANDOMNESS

▸ Building the triangular peg array…
▸ Seeding the random number generator
▸ Calibrating the left / right bounce probability
▸ Computing the theoretical normal & binomial curves
▸ Opening the ball valve…
▸ Ready — Online. ✅
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⌂ Mathematics

Simulation room Probability & randomness

Probability
Online
Galton board · normal distribution
Live statistics
🎲 Dropping balls…
cumulative distribution · mean
Balls dropped
Peg rows
p (right probability)
Mean (bin)
Standard deviation
Tallest bin
Tip
Each ball is a random walk: at each peg row it bounces left/right. Summing many independent bounces → the pile arranges itself into a normal curve (a bell). Change p to shift the center, add rows to smooth the bell.
Click the floor = drop one ball · adjust the sliders on the right to change peg rows, bias & speed
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Goodness-of-fit to the normal curve over time (Law of Large Numbers) empirical fittheory = 100%