It is argued here that expectations of bias (vs. no bias) play a key role in explaining reactions to decisions made by outgroup authorities. Two experiments demonstrate that decision acceptance (Experiment 1) and intentions to protest against an outgroup authority's decisions (Experiment 2) are affected by procedural fairness when the authority has a reputation of being unbiased, but not when the authority's reputation suggests bias. By contrast, some evidence is also found suggesting that reactions to an outgroup authority's decisions are affected by the favorability of the outcome when the authority has a reputation of being biased, but not when the authority has a reputation of being unbiased. Mediation analyses indicate that two different processes account for these effects.