Why yes grey_whiskers: Niels Bohr insisted on it. For this reason, he said that all descriptions of quantum phenomena should be made in the "classical language" of Newtonian physics.
Moreoever one imagines the principle additionally implies that, if there is uncertainty in quantum phenomena, then correspondingly there is uncertainty in the "classical" domain as well. So much for "exact" science....
I am afraid you are misunderstanding on this point, err, "probability locus". ;-)
Correspondence says that the new theory should boil down to the results of the old theory under the conditions the old theory is known to hold (On cases where the new supplants the old, then of course the new takes precedence, otherwise, why bother?)
And of course probabilistic dynamics is one of the hallmarks of quantum mechanics.
Sorry for the late, terse reply. Just came back from hiking in Flagstaff and I'm all stiff and sore, with all the weekend's work yet to do.
No wonder I'm FReeping.