The axiomatic approach to probability which closely relates the theory of probability with the modern metric theory of functions and also set theory was proposed by A.N. Kolmogrov. The axiomatic definition of probability includes both the classical and the statistical definition as particular cases and overcomes the deficiencies of each of them. On this basis, it is possible to construct a logically perfect structure of the modern theory of probability and at the same time to satisfy the enchanced requirements of modern natural science. The axiomatic development of mathematical theory of probability relies entirely upon the logic of deduction.
The theory of probability provides mathematical models for “real world phenomenon” involving games of chance such as the tossing of coins and dice. Any probabilistic situation is called as a random experiment.
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