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2:24
livescience.com
Properties of Pascal’s Triangle
Pascal's triangle, a simple yet complex mathematical construct, hides some surprising properties related to number theory and probability.
Jun 17, 2015
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Galton Board with Pascal’s Triangle: 6000 steel balls (and one gold bead) fall through 14 levels of branching paths and always end up matching a bell curve distribution. Each ball has a 50/50 chance of going left or right at each branch such that the balls are distributed at the bottom by the mathematical binomial distribution. In addition the number of balls in each bin can be predicted by Pascal’s triangle, where the number on each hexagonal branch point represents the number of possible paths
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