In this paper, the electromagnetic susceptibility of electro-explosive devices (EEDs) including their connection wires is assessed statistically. The electromagnetic coupling and the thermal power dissipation are modeled to determine the activation condition due to an excitation with an external electromagnetic field. The reception properties of the connection wires are obtained numerically and validated experimentally; variations in their geometry are considered by means of a Monte Carlo approach. The optimal coupling frequency and the probability of activation of a typical wired BED as function of the magnitude of the excitation are obtained. A detonation probability of 95 per cent is obtained for a wired EED illuminated with a 2447 V/m incident field.