A new approach to abnormal situations with regard for the heuristic regularities of human-operator thinking process is proposed. The regularities are revealed on basis of recording the motions of the human-operator eyes over the information field of the control board and processing the experimental data obtained. For data processing, a probability theoretical approach is utilized. Such an approach based on involving the notion of consistency of measures of dependence of random variables. Within the approach, a set of the so called information correlations has been proposed to serve as a quantitative performance index of human-operator skills.