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Hypergeometric distribution
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=== Order of draws === The probability of drawing any set of green and red marbles (the hypergeometric distribution) depends only on the numbers of green and red marbles, not on the order in which they appear; i.e., it is an [[exchangeable random variables|exchangeable]] distribution. As a result, the probability of drawing a green marble in the <math>i^{\text{th}}</math> draw is<ref>{{cite web|url=http://www.stat.yale.edu/~pollard/Courses/600.spring2010/Handouts/Symmetry%5BPolyaUrn%5D.pdf|title=Symmetry|first=David|last=Pollard|publisher=Yale University|work=Stat 330/600 course handouts|date=Spring 2010|access-date=2025-01-19}}</ref> : <math> P(G_i) = \frac{K}{N}.</math> This is an ''ex ante'' probability—that is, it is based on not knowing the results of the previous draws.
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