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<p> drawn <a href="page.php?w=with_replacement">with replacement</a> from a <a href="page.php?w=Statistical_population">population</a> of size . If the sampling is carried out without replacement, the draws are not independent and so the resulting distribution is a <a href="page.php?w=hypergeometric_distribution">hypergeometric distribution</a>, not a binomial one.  However, for  much larger than , the binomial distribution remains a good approximation, and is widely used.</p>

<p><big> Definitions </big></p>
<p><big> Probability mass function </big></p>
<p>If the</p><p>
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