Summary: The combined measurements of near- and far-field secondaries demonstrate that primary cratering events are extraordinarily efficient in generating ejecta for both populations. This research is the first to demonstrate that, at least on Europa, distant secondary craters overwhelm the small primary craters. Among the many potential implications of my research, two are profound: (1) the population of objects (now known to be ecliptic comets) that hits Europa to form primary craters must have a shallow (b > -2) size-distribution for objects <100 m diameter; and (2) to the degree that cratering in ice and rock are the same, any planetary surface with even modest populations of large primary craters (e.g. the Moon, Mars) must have significant numbers of secondary craters. Indeed, the Moon's crater size-distribution also develops a steep slope (b < -3.5) near 1 km; my results suggest that secondaries may dominate the small-crater population on the Moon.