Previously, perceived competence of and attraction toward targets categorized by race showed in-group bias and no bias, respectively. Consequently, previous investigators regarded intergroup perception as a compromise between the norms of in-group bias and fair-mindedness. An alternative hypothesis for such findings is that attraction is not as relevant a dimension for intergroup discrimination as is competence. To test contrasting predictions of these hypotheses, the present authors asked participants from the majority and minority groups in Singapore (ns = 320) to evaluate either competence of or attraction toward one of the five targets. Consistent with the hypothesis that intergroup perception is a compromise, both dimensions yielded a uniform but weak in-group bias. The participants' equating of the in-group with one out-group further illustrated fair-mindedness. The authors discussed implications of the findings.