Abstract In the Random Oracle ensemble method, each base classifier is a mini-ensemble of two classifiers and a randomly generated oracle that selects one of the two classifiers. The performance of this method have been previously studied, but not for imbalanced data sets. This work studies its performance for this kind of data. As the Random Oracle ensemble method can be combined with any other ensemble method, this work considers its combination with four ensemble methods: Bagging, SMOTEBoost, SMOTEBagging and RUSBoost. The last three methods combine classical, not specific for imbalance, ensemble methods (i.e., Bagging, Boosting), with pre-processing approaches designed for imbalance (i.e., random undersampling, SMOTE). The results show that Random Oracles improves all these methods.