  We revisit and refine known tail inequalities and confidence bounds for the
hypergeometric distribution, i.e., for the setting where we sample without
replacement from a fixed population with binary values or properties. The
results are presented in a unified notation in order to increase understanding
and facilitate comparisons. We focus on the usability of the results in
practice and thus on simple bounds. Further, we make the computation of
confidence intervals and necessary sample sizes explicit in our results and
demonstrate their use in an extended example.
