In this paper different type of mathematical explanations are presented in relation to the mathematical problem of probabilities Monty Hall (card version) and the computational tool Latent Semantic Analyses (LSA) is used. At the moment the results in the literature about this computational tool to study texts show that this technique is appropriate for the case of expository and narrative texts, but there is not evidence with mathematical texts. The technique could help us to identify which are the better explanations and if this is relevant to explain correct responses. (Contains 1 figure, 1 table, and 1 footnote.) [For the complete proceedings, "Proceedings of the International Association for Development of the Information Society (IADIS) International Conference on Cognition and Exploratory Learning in Digital Age (CELDA) (Madrid, Spain, Oct 19-21, 2012)," see ED542606.]