As a drummer, you get used to gigs like this: You play out of your mind during a set, take a break and pretty much disappear in the room because no one watches the drummer and were likely focusing on the singer. Luckily there are a few out there – like David Letterman – who spend their time watching the drums (if not the drummer). Check this out:
The reason he asks if the drums are theirs is because a band will likely rent the larger equipment like bass stacks and drums if they had to fly in for the performance. In other cases, bands will add these performance dates to their tours, and likely bring their own equipment. I love how he comments on pretty much everyone but the singers.