To determine whether the equality of educational opportunity increases in proportion to the rapid expansion of a national school system, questionnaire response data from 1957 to 1962 Danish higher education graduates were analyzed. Social inequality was defined as the relationship between social origin and educational potential. Data analysis confirmed that despite a marked increase in the number of students attaining higher education in Denmark, no change had occurred in the social inequality of education. The relationship between social origin and educational potential was inferred by applying a stochastic process model in which the educational potential was assumed to govern the outcome. (Author/JK)