Laser hair removal is superior to electrolysis in most cases. A laser can cover large areas that are just not practical to treat with electrolysis because electrolysis is a technique that literally treats one hair at a time whereas laser can treat an area the size of a quarter in a second. On the other hand, laser hair removal requires dark brown or black hair to be effective. Therefore electrolysis is the procedure of choice for white, blonde, or grey hair.
Laser hair removal is also not precise enough to do detail work like shaping eyebrows, or around tattoos. This is another case where we turn to electrolysis.