In two predictive-learning experiments, we investigated the role of the informational value of contexts for the formation of context-dependent behavior. During Phase 1 of each experiment, participants received either a conditional discrimination in which contexts were relevant (Group Relevant) or a simple discrimination in which contexts were irrelevant (Group Irrelevant). Each experiment also included an ABA renewal procedure. Participants received Z+ in context A during Phase 1, extinction of Z in context B during Phase 2, and were tested with Z in context A during a test phase. In each experiment, extinction of Z proceeded faster and was followed by stronger response recovery in Group Relevant than in Group Irrelevant. In Experiment 2, which included recording of eye-gaze behavior, dwell times on contexts were longer in Group Relevant than in Group Irrelevant. Our results support the idea that relevant contexts receive more attention, leading to stronger context specificity of learning.