In comparing different eddy-current systems (or probes), it is convenient to base the comparison on the magnitude of the signal produced by a certain flaw size and type. However, as in any detection problem, the real effectiveness of such a system in detecting a given flaw is determined by the statistical variations in the flaw signal and the characteristics of the noise added by the system. Hence, the objective of this task has been to develop a statistical model for determining the probability of detecting a given flaw using an eddy-current system. Such a model would be useful not only for comparing different systems, but also for optimizing the detection process. This optimization would consist of using the model to select the probe and operating frequency(ies) that maximize the signal-to-noise ratio (SNR).