A History of the Mathematical Theory of Probability From the Time of Pascal to
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D'Alembert first proposes une consideration tr^s-simple et tr^s-naturelle a faire dans le calcul des jeux, et dont M. De Buffon m'a donne la premiere idee, . . . This consideration we will explain when noticing a w^ork by Buffon. D'Alembert gives it in the form which Buffon ought to have given it in order to do justice to his own argument. But soon after in a numerical example 18—2 X 276 d'alembert.
D'Alembert falls back on Biiffon's own statement ; for he supposes that a man has 100000 crowns,... and that he stakes 50000 at an equal game, and he says that this man's damage if he loses is greater than his advantage if he gains ; jDuisque dans le premier cas, il s'appauvrira de la moitie ; et que dans le second, il ne s'enrichira que du tiers.
502. If a person has the chance ■ of gaining x and the chance — - — of losing y, his expectation on the ordinary theory is ~ ^ . D'Alembert obtains this result himself on the ordi- nary principles ; but then he thinks another result, namely —, miofht also be obtained and defended.
What to read after A History of the Mathematical Theory of Probability From the Time of Pascal to?
You can find similar books in the "Read Also" column, or choose other free books by Todhunter, I. (Isaac), 1820-1884 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
D'Alembert first proposes une consideration tr^s-simple et tr^s-naturelle a faire dans le calcul des jeux, et dont M. De Buffon m'a donne la premiere idee, . . . This consideration we will explain when noticing a w^ork by Buffon. D'Alembert gives it in the form which Buffon ought to have given it in order to do justice to his own argument. But soon after in a numerical example 18—2 X 276 d'alembert.
D'Alembert falls back on Biiffon's own statement ; for he supposes that a man has 100000 crowns,... and that he stakes 50000 at an equal game, and he says that this man's damage if he loses is greater than his advantage if he gains ; jDuisque dans le premier cas, il s'appauvrira de la moitie ; et que dans le second, il ne s'enrichira que du tiers.
502. If a person has the chance ■ of gaining x and the chance — - — of losing y, his expectation on the ordinary theory is ~ ^ . D'Alembert obtains this result himself on the ordi- nary principles ; but then he thinks another result, namely —, miofht also be obtained and defended.
What to read after A History of the Mathematical Theory of Probability From the Time of Pascal to?
You can find similar books in the "Read Also" column, or choose other free books by Todhunter, I. (Isaac), 1820-1884 to read onlineMoreLess
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