This article asks whether justice is binary, whether matters are either-or with respect to it. This question has been inexplicably neglected, and the elementary conceptual work has not been done. We consider this question through exploring the implications of free-will-related justice. We see that there are actually two questions of very different scope here, and that two distinct notions of binarity need to be distinguished. In the process, the plausibility of considering justice as a binary notion is evaluated.