The integrated distribution of the volume fraction is shown in Fig. . The x-axis is now presented as the distance to the electrode center to include the solid phase. On the electrode surface (0.25 mm from the electrode center), the probability for the occurrence of the vapor phase is 100% . With increasing distance from the electrode surface, the vapor volume fraction decreases. At a distance of approximately 0.45 mm to the electrode center, liquid and vapor phases are equally likely. At 0.65 mm and beyond, the electrolyte phase dominates. Further below, we show how the vapor layer thickness can also be inferred from the analysis of discharges. The obtained distribution can be used for a more detailed plasma-physics analysis of the discharges, which is beyond the scope