Thursday, April 18, 2019

Blaise Pascal and the Theory of Probability - Why it is important and Research Paper

Blaise Pascal and the speculation of Probability - Why it is important and the implications of this contribution - Research Paper ExampleThroughout history, various theories and principles had been move down by mathematicians to further strengthen and deepen the study of bes, space and computations. Numbers have been the characters use in math while letters ar usually used in language. The operations and proofs that are done throughout the development in the field of mathematics give way to the modernization and advancement of the human mind. One of the theories that led to the advancement is the Theory of Probability. The Theory of Probability comes from the word likely and the adjectival in all likelihood. Probably is usually used in casual conversation like Caesar probably visited Britain. The outbreak of a nuclear war is less probable now than it was 10 or 15 years ago. The in all likelihood winner is Miss Florida. The expanding universe theory is probably true. The door is probably locked. (Weatherford, 1982, p. 2) The word probably send packingnot signalise probability in a specific way as adjectives are descriptive words. Once probably is said, it describes an object qualitatively. Probably pertains to qualitative description of frequency. Most people do not use probable in a mathematical sense as that word can also mean possible, conceivable, plausible, well-founded and typical, (Gigerenzer, 2007, p. 95). ... 1). In addition, indecision is concerned with the unknown or the insufficient information regarding the present and the future. The degree of uncertainty is linked with bump. Risk is the uncertain result which can be positive or negative. The positive risk is called opportunity while the negative risk is threat (Cretu, Stewart and Berrends, 2011, p. 4). Probability allows people to have calculated sound judgement of the unknown outcome. The theory can be elaborated in three ways as discussed in the succeeding paragraph. The Theory of Probability can be discussed using a classical method, simple proportion method and statistical method. Using classical method, the theory provides a standard measure for determining the uncertainties in the occurring events. Classical method can also be called mathematical method as an equation can be used to represent the theory P (A) = n/N = No. of outcomes favorable to A/No. of outcomes in ? = v (A)/v (?) Where A = the event or subset of interested outcomes n = the number of outcomes ? = the set of all outcomes v (?) = the number of sample points in ? v (A) = the number of points in A (Bhat, 1999, p. 2) Another way of elaborating the Theory of Probability is through the use of simple shoes method. Additive property of addition is the basic form of probability theory. The following can illustrate the property P (A?B) = P (A + B) = (m + n)/N = (m/N) = P (A) + P (B) Probability function possesses the following properties (i) P(A) ? 0, (non-negativity) (ii) P(A1 + + An) = ?n1 P (Ai), (Additivity), (iii) P(?) = 1 (normed) It follows immediately that P (?) = P (A + Ac) = P (A) + P (Ac) = 1, P (Ac) = 1 P (A) ? 0, and hence 0 ? P (A) ? 1. Since P (?)

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