The set of initial conditions leading to transient chaos in the neighborhoo
d of a crisis is shown to display riddled-like behavior for finite, arbitra
rily small accuracy. Calculations are performed with the logistic equation,
as well as with an experimentally verifiable, quantitative description of
a chemical reaction. Limitations in computational or experimental accuracy
make the apparent riddling of initial conditions a phenomenon that is indis
tinguishable fr om riddled basins.