Abstract
Whether random phenomena exist in nature or not, it is useful to think of the notion of randomness as a mathematical model for a phenomenon whose outcome is uncertain. Such a model can be obtained by exploiting the observation that, in many phenomena, even though the outcome in any given instance is uncertain, collectively there is a pattern. An axiomatic development of such a model is given below. It is also shown that in such a set-up an interpretation of the probability of an event can be provided using the ‘Law of Large Numbers’.
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Suggested Reading
W Feller. An Introduction to Probability Theory and Its Applications. Vol. 1. (Third Edition). Wiley-Eastern, New Delhi 1985.
P G Hoel, S C Port and C J Stone. Introduction to Probability Theory. Universal Book Stall, New Delhi 1991.
K L Chung. Elementary Probability Theory and Stochastic Processes. Narosa Publishing House, New Delhi. 1978.
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02835637.
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Karandikar, R.L. On randomness and probability. Reson 1, 55–68 (1996). https://doi.org/10.1007/BF02835700
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DOI: https://doi.org/10.1007/BF02835700