# Generalization of urn problem

#### goking

##### New Member
While simple urn problems - given x
green and y black balls, whats the probability if we take 6 that 2
will be black etc. are easily solvable with hypergeometric and binomial distribution. Is there a distribution that solves it a general case for example:
Given 1000
blue, 1200 green, 2000 red balls we draw 20 balls.
Let x be the number of drawn blue balls currently, y-green, z-red(all currently drawn). If at any draw this condition is satisfied: y^3-z^2>x^2.5 . We add ONCE to the urn this configuration and continue the drawing