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In practical quantum key distribution (QKD) systems,a single photon-detector (SPD) is one of the most vulnerable components.Faint after-gate attack is a universal attack against the detector.However,the original faint after-gate attack can be discovered by monitoring the photocurrent.This paper presents a probabilistic generalization of the attack,which we refer to as probabilistic faint after-gate attack,by introducing probability control modules.Previous countermeasures for photocurrent monitoring may fail in detecting the eavesdropper under some specific probabilities.To mitigate this threat,we provide a method to determine the detectable boundary in the limitation of precision of photocurrent monitoring,and investigate the security of QKD systems under such boundaries using the weak randomness model.