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Origin and Development of probability Theory:
The credit for origin and development of probability goes to the European gamblers of 17th century. They used to gamble on games of chance such as throwing a dice, tossing up a coin , horse race, drawing cards from a pack of cards etc. For getting success in above games of chances. They started getting the help of mathematicians. By the deep study and calculations of these mathematicians the theory of probability originated.
All Italian Mathematician Jerome cardoon(1501-1576) was the first person to write a book on probability, Games of chances which was published after his death in 1663. In this book he mentioned all risks involved and rules how to lessen those risks Galileo (1564-1642) an Italian Mathematician, attempted quantitative measures of probability for solving the problems related to the theory of dice in gambling. In mid 17th century two French mathematicians Blaise Pascal (1623-1662) mce_markernbsp; pierre de fermat gave the systematic and scientific foundation of mathematical theory of probability. Swisss mathematician James Bernoulli (1654-1705) was another brave and strong man who made extensive study of the subject for 2 decades and introduced Bernoulli theorem and its theory in his book air conjectandi published in 1713 after his death in major contribution to the modern theory of probability. In 1718 Abrahm de Moivre (1667-1754) published his book The Doctrine of chances and contributed a lot to this subject.
In 18th &19th century many mathematicians tried to develop scientific method for the development of different theorems of probability. Thomas Bayes (1702-1761) introduced the concept of inverse probability which is also known as bayes . Theorem Pierre Simon de Laplace (1749-1827) after an extensive research published his book. Theory of Analytical probability which constitutes the classical theory of probability; Ronald fisher and von mises introduced empirical approach probability through an idea of sample space, In 1926 mathematician frank Ramsey published his work the foundation of mathematics and other logical essays in which he introduced the theory of subjective approach to probability. Which was developed by Richard good Bernard, Coopman and Lleonard sweage. This concept is especially used in statistical decision theory.
The modern theory of probability was developed by a number of Russian mathematicians like Chebychev (1821-1894) A markov (1856-1922) and A .N Kolmogarov. Kolmogarov axionised the theory of probability and he published his work foundations of probability in 1933 in which he introduced probability as set function and regarded as a classic.
#questionMaximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0..
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