High end models have drains plumbed in; the rest (including your Providence) do not and the condensate spills out on the roof. Where it goes from there depends on the level of the RV and any gutters it may have.
American Coach branded models have the drains, Fleetwood branded models do not.
Former owner of 2004 American Tradition and several other RVs
Home is in the Ocala Nat'l Forest near Ocala, FL
Summers in Black Mountain, NC