Well.... here is a little input
Adaptive optics needs a fairly bright (~9th magnitude or brighter) star near the object being observed. This requirement limited AO observations to ~1% of the sky. By using a laser guide star you can look at objects that are just near a 19th magnitude star- this expands the sky coverage to ~80%.
The 1% number gives you an idea how rare stars brighter than 9th magnitude are...
it still seems hard to believe it only passes over one of millions of stars very rarely.
There really arent millions of stars that bright, There are much fewer than that... add to that the small apparent size of saturn and actual occultation could be fairly rare...