Fair distribution of educational opportunities among people means that individuals' access to education doesn't depend on conditions beyond their control such as social class, religion, gender, place of birth or other parental characteristics. This paper addresses the issue of inequality of educational opportunities for pre-university education in Egypt using Human Opportunity Index, based on the data of the Income, Expenditure and Consumption Survey 2014/2015 implemented by the Central Agency for Public Mobilization and Statistics. The paper also uses a logistic regression technique to assess the factors that affect children's educational enrolment. The paper presents several results, the most important one is that primary education in Egypt is fair and equal if compared to preparatory and secondary education in terms of providing educational services. The results of the Logistic Regression (LR) model show that there are many significant variables that affect children's school enrolment i.e. the educational level of the household head and the place of residence.