Download An Infinitesimal Approach to Stochastic Analysis by H. Jerome Keisler PDF

By H. Jerome Keisler

ISBN-10: 0821822977

ISBN-13: 9780821822975

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Example text

Ponte, ou du moins qu'ils vaIu1fent feulement Ie tiers au Ie quart de 1a mife du Ponte.. vantage au Banquier, feroit fuffifmt pour faire preferer aux Joueurs qui entendent leur interefl, la place de Ban... quier a. celie de Ponte; & ne feroit pas affes conuderable, pour que les Pontes en fouffrUfent bCaucoup de prejudice. C 0 a. 0 L L A I II E I I I. ~ defavantage FI N que Ie Ponte prenant une carte ait Ie moins de u'il ell: poffible, it faut quid en choie une qui ait p:a1 deux fois; car il y auroit plus de deC.

J~f~~~~iii~i"~'~i~~~~~'i'i~~ PROPOSITION PIlE M I E R. II. CAS. On foppoft qu'il rtfle quatre carttS entre les mains du Banquier, & que ceOe du Pontey eft un certain nombre de flis. , qua eft dans ce cas Je defovantage du P{)nte en jOU41lt ],ut but C01#re Ie Banquier. ce que tous Ies divers arrangemens poffibles des quaere cartes donnent de gain ou de perte at! Banqaier par Ie nombre de tous ces arrangemens; rexpofant de cetee divifion exprimera fon fort.

A. On remarquera : 1ft. "'i1 Y a a parier feize contre un, que les carte. de Paul & de Jacques fe rrouveront fimples, lorfque Pierre fera fur Ie point de tirer fa carte & un contre feize -qu~ la carte de Jacques fe trouvera double. 0. ~e les cartes de Paul &. de Jacques ctant fimples, Pierre a fix coups fut" cinquante pour amener carte dou. ble, & par confequent quarante -quatre fur cinquante, pour amener carte fimple. " f. Que b. l amenant carte triple, & par confequent quarante-huit fur cinquante, pouramenercarte fimple.

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