from __future__ import division import math def nCr(n,r): f = math.factorial return f(n) / f(r) / f(n-r) # W = wins in population # L = losses in population # x = successes in sample # n = sample size def Hypergeometric(W, L, x, n): sample_successes = nCr(W,x) sample_losses = nCr(L,n-x) all_combinations = nCr(W+L, n) return sample_successes*sample_losses/all_combinations # chosse 2 hearts from 6 cards # 13 hearts and 39 non-hearts # 2 successes needed from sample of 6 print "chosse 2 hearts from 6 cards:", Hypergeometric(13, 39, 2, 6) h = Hypergeometric(13, 39, 2, 6) def HypergeometricLessThan(W, L, x, n): return sum([Hypergeometric(W,L,num, n) for num in range(0,x)]) # fewer than two diamonds 63.3% print "fewer than two diamonds", HypergeometricLessThan(13,39,2,5), def HypergeometricGreaterThanOrEqualTo(W,L,x,n): return 1- HypergeometricLessThan(W, L, x, n)
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