Configurable Galton Board

cults3d

This device performs statistical experiments with precision. Check out this video to see it in action: http://youtu.be/0tp26ChmDxA \n\nGet ready for a fun learning experience as you delve into combinatorics, Pascal's triangle, probability, and the binomial distribution.\nBalls cascade through the funnel and collide with pegs along their journey. Ideally, when a ball hits a peg head-on, it has a one-in-two chance of going left or right until it finally falls into one of the bins.\nThe number of paths to each bin is calculated by C(N,x).\nN represents the number of rows of pegs (including the top edge of the bins), and x takes values from 0 to N. For example, if you consider 0 as the leftmost bin and N as the rightmost, x can take any value within this range.\n\nA triangle overlay is provided to display all these numbers and the number of paths through each intermediate peg. This overlay also happens to be Pascal's triangle. You can lay it over the pegs for reference but remove it when performing experiments. \n\nThis Galton board allows you to adjust N anywhere from 1 to 8, enabling you to run experiments with as few as two bins or up to nine bins. To do this, simply plug the funnel into the corresponding holes aligned above the triangle of pegs.\nIdeally, over a long period, the number of balls in each bin will follow the binomial distribution.