1. This gives a slightly different distribution known as Wallenius'noncentral hypergeometric distribution . 2. Use the hypergeometric distribution for the first " l-1 " picks. 3. Unfortunately, both distributions are known in the literature as " the " noncentral hypergeometric distribution . 4. Use the hypergeometric distribution to calculate the probabilities. 5. The matter is complicated by the fact that there is more than one noncentral hypergeometric distribution . 6. Fisher's noncentral hypergeometric distribution is obtained if the balls are sampled simultaneously or independently of each other. 7. Assuming you sampled without replacement, you'd need to use the hypergeometric distribution to do an exact test. 8. The distribution of the balls not taken can be called the "'complementary Wallenius'noncentral hypergeometric distribution " '. 9. I've found nothing relevant in the see also sections of Hypergeometric distribution , Coupon collector's problem, & Birthday problem. 10. In that case you obtain a hypergeometric distribution .-- Talk 19 : 29, 10 October 2006 ( UTC)
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