  Using a Liouville measure, similar to the one proposed recently by Gibbons
and Turok, we investigate the probability that single-field inflation with a
polynomial potential can last long enough to solve the shortcomings of the
standard hot big bang model, within the semiclassical regime of loop quantum
cosmology. We conclude that, for such a class of inflationary models and for
natural values of the loop quantum cosmology parameters, a successful
inflationary scenario is highly improbable.
