2(j0 d'alembert. 



ordinary theory. Thirdly, he shews that D'Alembert's view is 

 inadmissible as leading to a result which is obviously untrue : this 

 objection is given by D'Alembert in the second volume of his 

 Opuscules, and will come before us hereafter. D'Alembert after 

 giving the objections says, Ces objections, sur-tout la derniere, 

 meritent sans doute beaucoup d'attention. But still he does not 

 admit that he is convinced of the soundness of the common theory. 



The article Gageure is not reproduced in the Encyclopklie 

 M<itliodique. 



467. D'Alembert wrote various other articles on our subject 

 in the E ncy dope die ; but they are unimportant. We will briefly 

 notice them. 



Als3nt. In this article D'Alembert alludes to the essay by 

 Nicolas Bernoulli ; see Art. 338. 



Avantage. This article contains nothing remarkable. 



Bassette. This article contains a calculation of the advantage 

 of the Banker in one case, namely that given by Montmort on his 

 page 145. 



Carreau. This article gives an account of the sorts de jeu dont 

 M. de Buff on a donne le calcid in 1733, avant que d'etre de 

 V Academie des Sciences ; see Art. 354. 



De. This article shews all the throws which can be made with 

 two dice, and also with three dice. 



Loterie. This is a simple article containing ordinary remarks 

 and examples. 



Pari. This article consists of a few lines giving the ordinary 

 rules. At the end we read : Au reste, ces regies doivent ^tre modi- 

 fiees dans certains cas, ou la probabilite de gagner est fort petite, 

 et celle de perdre fort grande. Voyez Jeu. There is however 

 nothing in the article Jeu to which this remark can apply, which 

 is the more curious because of course Jeu precedes Pari in alpha- 

 betical order; the absurdity is reproduced in the Encyclopedic 

 M4thodi€[ue. 



The article Prohahilite in the Encyclopedie is apparently by 

 Diderot. It gives the ordinary view of the subject with the excep- 

 tion of the point which we have noticed in Art. 91. 



