Heh, the first episode they ever encountered a Ferengi on the Enterprise happened around a planet where both ships were stuck powerless in space due to the planet they were orbiting, and each side thought the other side did it.

The indeed fly the fuck away as soon as they could though.

The other ones were similarly contrived, but it's a TV show, they gotta have some reason to stick around. (Lwaxana getting kidnapped by Ferengi was a low point, I'll admit that much).