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Abstract: In the recent past, a great number of e-learning platforms have been introduced on the market showing different characteristics and services. These platforms can be evaluated using multiple criteria and methods. This paper proposes a list of selected quality criteria for describing, characterizing and selecting e-learning platform. These criteria were designed based on e-learning standards. I also propose a mathematical model to determine the probability that a student uses an e-learning platform based on the factors (criteria) that determine the quality of the platform and the socio-demographic variables of the student. The case study presented is an application of the model and the input data, intermediate calculations and final results were processed using SAS (Statistical Analysis Software).