The reduction of residential-scale battery energy storage (BES) systems prices and the increase in electricity prices motivate consumers to update their photovoltaic (PV) systems toward PV-plus-storage systems. In this paper, we propose a stochastic analysis to determine the hosting capacity in low-voltage (LV) networks with PV and PV-plus-storage systems. Uncertainties in sizes and locations of PV systems and the location of energy BES systems are considered. The analysis considers two operational modes of inverters: at unity power factor and following a voltage control curve. Results indicate that the use of PV-plus-storage systems improves the hosting capacity. The selection of the operational mode of inverters must be carefully done, as it can increase power losses. The proposed method is useful to utilities for decision-making about actions that mitigate the overvoltage.