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The binomial distribution is frequently used to model the number of successes in a sample of size n drawn with replacement from a population of size N. If the sampling is carried out without replacement, the draws are not independent and so the resulting distribution is a hypergeometric distribution, not a binomial one.  However, for N much larger than n, the binomial distribution remains a good approximation, and is widely used.

The binomial distribution is frequently used to model the number of successes in a sample of size n drawn with replacement from a population of size N. If the sampling is carried out without replacement, the draws are not independent and so the resulting distribution is a hypergeometric distribution, not a binomial one.  However, for N much larger than n, the binomial distribution remains a good approximation, and is widely used.

二项分布经常被用来模拟大小为n的样本中的成功数量，这些样本是从大小为N的种群中用替代物抽取的。如果抽样没有用替代物，抽样就不是独立的，所以得到的分布是一个<font color="#ff8000">超几何分布 hypergeometric distribution </font>，而不是二项分布。然而，对于N远大于n的情况，二项分布仍然是一个很好的近似，并且被广泛使用。

二项分布经常被用来模拟大小为n的样本中的成功数量，这些样本是从大小为N的种群中有放回地抽取的。如果抽样没有把抽取的个体放回总体中，抽样就不是独立的，所以得到的分布是一个<font color="#ff8000">超几何分布 hypergeometric distribution </font>，而不是二项分布。然而，对于N远大于n的情况，二项分布仍然是一个很好的近似，并且被广泛使用。