The objective of this paper is to discuss how blind students learn basic concepts of probability using the tactile model proposed by Vita (2012). Among the activities were part of the teaching sequence "Jefferson's Random Walk", in which students built a tree diagram (using plastic trays, foam cards, and toys), and pictograms in 3D (using the toys) to represent the possible ways in which Jefferson can visit his five friends and the expected frequencies of visits. The analysis of students' answers was based on the SOLO taxonomy, and developed from initial prestructural responses to final responses that were classified at the relational level. The study suggests adaptations of materials and teaching methods for helping blind students to learn about probability.