 Accountability for reasonableness can arguably be thought of as a form of pure procedural justice (Rawls 1971) because we lack prior consensus on the fine-grained principles needed to resolve disputes about these resource allocation issues, though we may arrive at mutually acceptable justifications through deliberation about specific cases. It differs from gambling, Rawls’s example of a case of pure procedural justice, in two ways. First, the appeal to process is constrained by some prior moral principles. For example, an outcome should not contradict what fair equality of opportunity requires by discriminating against some subgroup by race or gender. A local decision-making body could not engage in gender or race bias and consider that a fair outcome. One might claim that the same constraint applies to the gambling case: if only whites and no blacks were allowed to gamble, then the outcome of a spin of a fair roulette wheel would also not be fair—though some might reply this is a constraint on who plays the game, not on whether we view the outcome of the spin of a fairly balanced wheel as fair outcome. Second, we can imagine philosophical reasoning persuading us to adopt a principle that renders the appeal to a fair process unnecessary, but we cannot imagine such a philosophical “proof” of the fairness of a gambling outcome that would lead us to think the spin of a fair roulette wheel or a throw of a properly balanced die can be rendered unnecessary in the same way. Though fair equality or opportunity, including non-discrimination, constrains acceptable outcomes of fair process, it is too general an idea to settle what counts as an acceptable outcome. That requires agreement, in general by a range of stakeholders, on reasons for thinking an allocation is an acceptable way to meet needs fairly and so protect opportunity for those involved. The point behind insisting on what we call the “relevance” condition is to search for mutually justifiable reasons for thinking that a particular resource allocation is an acceptable way to aim at fair equality of opportunity. The condition takes us beyond mere consistency with fair equality of opportunity since that principle does not determine what to do in the face of disagreements about priorities, aggregation, and other problems.