Aero-engine turbine disks and other hot-end components, as the core parts of major equipment, are strategic focal points for the sustainable development of future industries. Their structural integrity and safety reliability are crucial foundations for guaranteeing the long-term service of hot-end structures. In this study, focusing on cracked structures of the FGH96 turbine disk, the simulated specimens and round-bar specimens of different sizes with an artificial defect were designed. Combining in-situ and direct current potential drop (DCPD) technologies, the study on fatigue crack initiation and propagation tests at 600˚C was conducted on the materials and structures of turbine disks, specifically including crack growth behavior, failure mechanisms, and probabilistic life models. First, the initial fatigue crack was pre-produced and the crack growth rate was monitored using the DCPD technique, while the critical crack size at fracture was measured using optical microscopy. Subsequently, the uncertainty quantification study was performed on the initial and critical crack sizes. Considering the evolution of crack size, a novel failure assessment diagram was proposed to evaluate the critical crack size, then, developing a damage tolerance assessment diagram. Fracture morphology and failure assessment diagram results indicated that the crack tip was in a plastic state, leading to the inapplicability of traditional elastic crack growth models. Therefore, a residual life prediction framework accounting for crack tip plasticity was proposed. Additionally, it was found that the stress intensity factor of the specimen at fracture was related to geometric dimensions. Finally, integrating initial crack size, critical crack size, and geometric dimensions, a probabilistic life prediction model based on the weakest link theory was proposed. This work introduces a novel approach to probabilistic damage tolerance assessment for components with defects, providing significant engineering insights.