  We establish exponential bounds for the hypergeometric distribution which
include a finite sampling correction factor, but are otherwise analogous to
bounds for the binomial distribution due to Le\'on and Perron (2003) and
Talagrand (1994). We also establish a convex ordering for sampling without
replacement from populations of real numbers between zero and one: a population
of all zeros or ones (and hence yielding a hypergeometric distribution in the
upper bound) gives the extreme case.
