166 DE MOIVRE. 



In tlie first edition there was only a brief notice of Whist, 

 occupying scarcely more than a page. 



299. Problems LI. to LV. are on Piquet. The game is not 

 described, but there is no difficulty in understanding the problems, 

 which are easy examples of combinations. The following Remark 

 occurs on page 186 ; it was not in the first edition : 



It may easily be perceived from tlie Solution of the preceding 

 Problem, that the number of variations which there are in twelve 

 Cards make it next to impossible to calculate some of the Probabili- 

 ties relating to Piquet, such as that which results from the priority 

 of Hand, or the Probabilities of a Pic, Kepic or Lurch j however not- 

 withstanding that difficulty, one may from observations often repeated, 

 nearly estimate what those Probabilities are in themselves, as will be 

 proved in its place when we come to treat of the reasonable conjec- 

 tures which may be deduced from Experiments; for which reason I 

 shall set down some Observations of a Gentleman who has a very great 

 degree of Skill and Experience in that Game, after which I shall make 

 an application of them. 



The discussion of Piquet was briefer in the first than in the 

 followinof editions. . 



"O 



•300. We will give the enunciation of Problem LVI. and the 

 beginning of the solution. 



Problem LVI. Of Saving Clauses. 



A has 2 Chances to beat B^ and B has 1 chance to beat A ; but 

 there is one Chance which intitlcs them both to withdraw their own 

 Stake, which we suppose equal to s j to find the Gain of A. 



Solution. 



This Question tho' easy in itself, yet is brought in to caution Be- 

 ginners against a Mistake which they might commit by imagining 

 that the Case, which intitles each Man to recover his own Stake, needs 

 not be regarded, and that it is the same thing as if it did not exist. 

 This I mention so much more readily, that some people who have 

 pretended gi-eat skill in these Speculations of Chance have themselves 

 fallen into that error. 



