The analysis of the phenomenon of “random” and the principle of the relationship of random phenomena in social reality in the conditions of its instability has been conducted. On this basis, the key task was the conceptualization of the random phenomena in the scales of typology of fundamental and social interactions. It has been confirmed that the concept of “random” in terms of instability is more effectively described through ontological, phenomenological, transcendental and functional approaches and in the context of environmental position. A probability principle was applied when describing the randomness of abstract values. It has been proved that even minor aberrations at one or another point of space at different systemic levels of the material world can profoundly change the metric properties of systems, cause their instability. The results of the research confirmed that the unstable social system does not return to the state of equilibrium from which it has came out for different reasons, but continuously it moves away from it or makes unacceptably large fluctuations around it. And functional dependence between random phenomena and quantities under conditions of social instability is possible as stability of a different kind.