Download A History of the mathematical theory of probability from the by Todhunter, I. (Isaac) PDF

By Todhunter, I. (Isaac)

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Extra info for A History of the mathematical theory of probability from the time of Pascal to that of Laplace

Example text

55. The first name which is usually mentioned in connexion with our present subject is that of John Graunt: I borrow a notice of him from Lubbock and Drinkwater, page 44. After referring to the registers of the annual numbers of deaths in London which began to be kept in 1592, and which with some 38 GRAUNT. e8 of their conclusions. The immunity they have thus purchased from contradiction could not be obtained but at the expense of confidence in their results. • Gouraud says in a note on his page 16, ...

TIl base contains 'I' numbers. Suppose then that A wants 'In points and that B wants n points. Take the (m + n)th base; the chance of A is to the chance of B as the sum of the first n numbers of the base, beginning at the highest row, is to the sum of the last 'In numbers. Pascal establishes this by induction. Pascal's result may be easily shewn to coincide with that obtained by other methods. For the terms in the (m + n)th base by the Binomial are the coefficients in the expansion of (1 + a: Theorem.

Anno 1693. impressa, pagin. 494. eundem ad 3096 profert. ArB OO'fljectfl/lKli, page 78. James Bernoulli seems to imply that the two editions of Wallis's Algebra. differ in their enumeration of the arrangements of the line due to Bauhusius; but this is not the case: the two editions agree in investigation and in result. James Bernoulli proceeds to say that he had found that there could be 3312 arrangements without breaking the law of metre; this excludes spondaic lines but includes those which have no cresura.

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