The Input-Output model has made extensive use of graph and network theory, methods and conclusions, in order to carry out structural analysis; such extensions have yielded powerful insights on the relationships existing between industries in an economic system. It is customary in the field to take a deterministic perspective when analysing economic structures, using various measures derived from the Input-Output tables; yet the model can include stochastic experiments. This paper takes that course of action, aiming at modelling the Greek economic structure from a qualitative viewpoint for 2005 and 2010; moreover, sectors are divided by groups of differentiated technology intensity. The methodology is based on a model based on families of distributions that allow predicting and analysing network structures. Results are reached by a probabilistic approach, producing interesting insights about the economic structures under study, while revealing different behaviour of the different groups of industries, classified by technological intensity.