Do gamblers perceive good luck as a limited resource? Gambling behavior has been consistently linked to distortions in the perception of randomness and probability. In parallel, self-report studies show that gambling severity is associated with stronger beliefs in personal luck and luck-related superstitions. While these phenomena are typically studied separately, we propose that behavioral distortions in randomness perception may reflect broader beliefs about how good luck is distributed – specifically, the belief that good luck is a limited resource. In prior work, we showed that individuals systematically infer illusory negative correlations between outcomes of independent choice options. By ruling out alternative explanations, we demonstrated that this pattern is best explained by the belief that good luck can be depleted. The proposed study will test whether the strength of this limited luck belief varies across the gambling-severity continuum. We will use an incentive-compatible, validated behavioral task to quantify this belief, and recruit a large, prescreened sample spanning the full range of gambling severity. By linking gambling severity to a core belief about how luck operates, this project lays the groundwork for a unifying behavioral account of gambling-related distortions in randomness perception and for future mechanistic, neural, and clinical investigations.