Prof. Dr. Borislav Lazarov
Institute of Mathematics and Informatics – Bulgarian Academy of Sciences
https://doi.org/10.53656/ped2021-4.02
Abstract. The paper presents some ideas for linking the model of classical probability with the geometrical probability, which are potentially helpful in operationalizing the correspondent topics from the Bulgarian math curriculum for the 11th grade. The point is to partition a continuum sample space into large numbers of disjoint events. Such partitioning allows interpreting a particular geometrical figure as a finite set of disjoint equal parts. In such manner, the corresponding stochastic phenomenon is considered as a finite composition of equiprobable outcomes. The benefits of this approach consist of the better didactical motivation when introducing the new concept of geometrical probability. Some comments on the philosophical correspondence between continuum and discrete structure are discussed. The examples are taken from the competition papers of Chernorizec Hrabar Math Tournament.
Keywords: geometrical probability; classical probability; Chernorizec Hrabar Math Tournament
