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This paper describes several possibilities how to enliven usual probability classes. From the didactical point of view, one of interesting topics is the subjective interpretation of probability, which uses the principle of betting. The connection of betting rates with probabilities helps to demonstrate how probability theory and its abstract axioms relate to the real world. Students can also easily realize that unless they have better information than bookmakers, betting cannot bring them a long-run profit. Another topic discussed in this paper is geometric probability, a substantial tool for extracting quantitative information on spatial objects (human beings or animals and their organs, blood vessels, tissues, tumours, plants, rocks etc.) from probes of a lower dimension. Since we are surrounded and even formed by such structures, geometric probability plays an important role for exploring and understanding the world around us. Corresponding materials for classroom use are also presented.

Teaching Probability: Motivations from Philosophy and Practical Life