While there are many compact binary systems in the universe continuously emitting gravitational waves for a very long time, LIGO is only able to detect the most violent waves emitted by the final coalescence and merger. So, on the astrophysical side, there is some joint probability given by how common these systems are, and how likely they are to merge in a given time frame. (Space based observatories like LISA would be able to see the long-lived inspiral waves though.)
On the instrumental side, we've only just reached the sensitivity levels to make any detections in the first place, so it's not surprising that we're not getting a huge number of events (otherwise the previous generation of detectors would've seen something). In addition, each individual observatory has its own "antenna pattern", making us less less sensitive to certain sky locations. This will improve as VIRGO, KAGRA, and LIGO-India come online in the future.
It's not 100% accurate that "LIGO is only able to detect the most violent waves emitted" but that LIGO can only detect waves emitted in a certain frequency range (total mass) of binary mergers. For instance, LIGO pretty much cannot detect the merger of supermassive black holes.
On the instrumental side, we've only just reached the sensitivity levels to make any detections in the first place, so it's not surprising that we're not getting a huge number of events (otherwise the previous generation of detectors would've seen something). In addition, each individual observatory has its own "antenna pattern", making us less less sensitive to certain sky locations. This will improve as VIRGO, KAGRA, and LIGO-India come online in the future.