Unformatted text preview: ± 5 2 ²± 3 2 ² ± 8 4 ² . If there are m of one type, n of another, and we want N total to be chosen, with k of hte ﬁrst type, the probability becomes ± m k ²± n Nk ² ± m + n N ² . A random variable with these probabilities ( m,n,N are parameters, k the possible values) is said to have a hypergeometric distribution. An example. What is the probability that in a poker hand (5 cards out of 52) we get exactly 4 of a kind? Answer: The probability of 4 aces and 1 king is ± 4 4 ²± 4 1 ² . ± 52 5 ² . The probability of 4 jacks and one 3 is the same. There are 13 ways to pick the 18...
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 Spring '10
 ansan
 Approximation, Binomial, Probability theory, Binomial distribution, green marbles, red marbles

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