Scientific journal
Научное обозрение. Педагогические науки
ISSN 2500-3402
ПИ №ФС77-57475

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TECHNOLOGICAL PROCESSING METHODS OF SOLVING PROBABILITY PROBLEMS

Nakhman A.D. 1
1 Tambov State Technical University
The technological processing methods of solving probability problems through the use of logical operations on propositions and properties of these operations are stated. In the context about implementing inter-subject relations we are talking about propositional algebra and algebra of events as the two different interpretations of Boolean algebra.One of the proposed methods consists of interpretation operations of events by means of truth tables, which is based on a one-to-one correspondence between the addition (multiplication) of events and disjunction (conjunction) of the corresponding propositions. Methods of finding of probability of «compound events» are proposed further: 1) The classification of problems based on specific symptoms; 2) The algorithmization of their decision; 3) The expansion of the list of formulas for the action within certain probable schemes. As a separate probabilistic scheme the diagram of alternatives («or both A and B or not A and C») is allocated and the corresponding equation including as a total probability formula for two hypotheses and the formula for calculation of probability of occurrence of only one of the two independent events A and B is proposed. The results of the work can be used by teachers on the stage of generalizing repetition of the mathematics course that best suits the purpose of expanding, generalizing, organizing and advancing of knowledge, the establishment of the connections and relationships between the elements of knowledge that have not been previously disclosed. Offered samples of solutions of some problems from open bank of control - measuring materials of Unified State Exam in the mathematics contribute this to a great extent.