I don't have enough reputation to comment, so I will post here.
If the low oil pressure light, or similar indicator, did not light up, or was not noticed, it could be that the oil pan plug or bolt fell out during a longer trip and prior to the 3000 miles when the condition was noticed.
If the plug did not leak (much) before falling out, the small amount of oil could be trapped by the plastic shroud, as mentioned by race fever.
If the plug finally fell out on a longer trip (rough guess based on my oil changes: maybe as little as 20-30 minutes), almost all of the oil could drain out on the road before parking it at home or work, where you would have the possibility of noticing it.
After that, if the indicator still is not enabled or noticed, it is possible to drive around for a while.
How long? It depends on many factors, but maybe as much 50-100+ miles (80-160km) before the engine "blows up." Note that shorter trips, where the engine does not get too hot for too long, could delay the "blow up."
I had a co-worker experience this a few months ago on a much older car (13 years old, >200k miles). The co-worker's lack of awareness and automobile experience resulted in at least 3-4 trips of about 5-10 miles (8-16 km) after the no oil (and no oil plug) condition was noticed. The engine never seized and fortunately the quickie lube business (a large national US chain) paid out the claim. In this case, the condition occurred only 2-3 weeks after the oil change.