By Pierre Remond de Montmort

It is a photographic reprint of 1 of the good works within the background of chance, the 2d, revised and augmented version released in 1713. The textual content is in French.

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Extra info for Essay d'analyse sur les jeux de hazard (AMS Chelsea Publishing) (French Edition)

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Il y a a parier un {;ontre deux que Pierre fera la main. , ,,0. ~'i1 ya aparier trois contre deux', 10r~que la carte de Pierre eft double; & deux contre trois, lorfque la carte de Jacques efi double. De tout cela il fuit que Ii 1'0n fuppofe , pour abreger, J\ A == ,,~ l'efperance qu'a, Pierre de faire la main fera. expnmee par: cerre quantlte,. " . • J830+ )( , • I +" -+- 149' )( t" . . 11+8 )( f" + f1 )( J _ . e de Pierre', lorfque 1'011' {tlppofe indeterminement qu'il continuera de reDir les' flartes autant de fois qu'il continuera de faire la main ( CC' qui ell: l~ Probicme chcrche) 00 aura h = +, A .....

I " t· " - -I- / ------,,=-,,--- -. '. ---:---- -r 's u It r. , N''; II. efoit facile aux Joueurs de s~appercevoit que I'avattcage du Banquier augmente proportion queJe nomre de fes cartes dimin~e, mais il etoit impoQibie de decouvrir fans Analyfe la loj tie cerre diminution, Be, ce . qui eft Ie plus important, de f~avoir comment cet avan. rage vane felon que Ia carte du Ponte fe trouve plus 011 moins de fois dans Ia maiD du Banquier. is pu imaginer que l'avantage du Banqllier par raport une carte qui n'a point pam; ~ ell: prefque double de celui qu'il a fur une carte qui a paifc deux fois, & beaucoup moins- encore que fon avantage par raport une carte qui a paHe trois fois, ell: fon- avan..

A au Banquier, &: deux arrangemensqui lui donne~ont {A : Car dans l'une il y a deux arrangemens ou" eilluinie de b , &:. dem il ya deux arrangemen} oll h ell . $lonoes de fx eutses de deex , il v en ° . B ij ,0 L Ill, J [ U. ,ois qui donneront deux fois zero au Banquier, " &" Y occupant la feconqe place; & la troifieme donnera au Banquier Ie m~me fort qu"i1 auroit, fi la canedu Ponte fe trouvoit deux fois dans deux cartes; & par confequent on auroit encore felon cette idee Ie fort du Banquier ~ 2.

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