B A C K-G A M M O N. 



m 



Baci- ut with either quatt-e, cinque, or six. The first 

 Gammon, throw, therefore, is an advantage frequently asked and 



* ' ** ' given between players that are, not equally skilful. 



In the follow :ng article we shall present our readers 

 with an abstract of Hoyle's Treatise on Bach-gammon. 

 It is necessary for a learner to know how many 

 points he has the chance of throwing upon the two- 

 dice, one throw with another. 



There are 36 chances upon two dice. 



Throws. Chance 



2 Aces 4 



2 Deuces 8 



2 Trois 12 



2 Fours 16 



2 Fives 20 



2 Sixes . . . 

 6 and 5 twice 

 6 and 4 <lo. 

 6 and 3 

 6 and 2 

 ?and i 



do. 

 do. 

 do. 



2t 

 22 

 20 

 18 

 16 

 14 



Throws. 

 5 and 4 twice 

 5 and 3 do. 

 5 and 2 

 Sand 1 

 4 and 3 

 4 and 2 

 4 and 1 

 3 and 2 

 3 and 1 

 2 and 1 



do. . 

 do. . 

 do. . 

 do. . 

 do. . 

 do. . 

 do. . 

 do. . 



Chances. 



. ". 18 

 . . 16 

 . . 14 

 . . 12 

 . . 14 

 . . 12 

 10 

 10 

 8 

 6 



Points. 

 Divided by 36)294(8 



288 



'594 divided by 36, shews, that one throw with an- 

 other you may expect 8 upon two dice. 



The chances upon two dice are as follow : 



Throw*. Cliances. 



2 Sixes 1 



2 Five3 1 



2 Fours 1 



2 Trois 1 



2 Deuces 1 



2 Aces 1 



6 and 5 twice ... 2 

 6 and 4 do. ... 2 

 (> and 3 do. ... 2 

 Cy and 2 do. ... 2 



B and 1 do. ... 2 



36 



To find out by this table what are the odds of be- 

 ing hit upon a certain, or fiat die, (the- ace for ex- 

 ample, ) look in the table, where it is thus * marked. 



Throws. Chances. 



2 Aces 1 



*6 and 1 twice ... 2 

 *5 and 1 do. ... 2 



Throws. Chances. 



*3 and 1 twice ... 2 

 *4 and 1 do. ... 2 

 *2 and 1 do. ... 2 



Total, 11 



Which subtracted from . . 36 



The lemainder is 25 



Hence it appears, that it is 2.5 to 11 against hit- 

 ting an ace, upon a certain, or flat die. The same 

 ttiethod may be taken with any other flat die, as with 

 the ace. 



What are the odds of entering a man upon 1, 2, 3, 

 .'> points ? 



TOX. III. PART*. 



H <- U] 



Answer. 



For. Ajaiust. 

 -upon 1 point is 11 to 2.5 

 ipon 2 points :' 

 upon 3 points 

 upon 4 points 

 -upon 5 points 



What are the odds of hitting, with any chance, 

 the reach of a single dk'i 



Answer, Reduced. 



For. Against. For. Against; 

 ""upon 1 is 11 to 25" 

 upon 2 is 12 to 24 

 upon 3 is 14 to 22 

 upon 4 is 15 to 21 1 

 upon 5 is 15 to 21 | 

 .upon 6' is 17 to 19J 



What are the odds of hitting with double dice ? 



Answer. Reduced. 



For. Against. For. Against. 



Bacfe- 

 Gamraou, 



-a 

 o 



o 

 E-1 



upon 

 upon 

 upon 

 upon 10 

 upon 11 

 (.upon 12(or2si 



To explain farther how to use the table of 36 

 chances, to find the odds of being hit upon any cer- 

 tain or fiat die. This second example shews how to 

 discover by that the odds of being hit upon a 6. 



s)l to 



30' 

 80 

 31 

 83 



34 

 36J 



2 Sixes 1 



2 Trois 1 



2 Deuces 1 



6 and 5 twice ... 2 

 6 and 4 twice ... 2 



6 and 3 twice 

 ( and 2 twice 

 6 and 1 twice 

 5 ai d 1 twice 

 1 and 2 twice 



Which subtracted from 



. 2 

 2 



. 2 

 o 



2 



17 

 36 



The remainder is 19 



That is, 19 to 17 ajjainst being hit upon a 6. 



, The odds of 2 love are about 5 to 2. 

 and of ... 2 to 1 ... is 2 to 1. 

 and of ... 1 love ... is 3 to 2. 



1. If you play three up, your principal object in 

 the first place, is, either to secure your own or your 

 adversary's cinque point ; when that is effected you 

 may play a bold game, and endeavour to gammon 

 the adversary. 



2. The next best point (after you have gained your 

 cinque-point) is to make your bar-point, thereby pre- 

 venting vour adversary from ruviing away with 2 sixes. 



3. After you have proceeded thus tar, prefer ma- 

 king the quatre-point in your own tables, rather than 

 the quatre-point out of them. 



4. Having gained these points, you have a good 

 chance to gammon your adversary, if he is very 

 much advanced : For, suppose his table3 are broken 

 at heme, it will then be your interest to open your 

 bar-point to oblige him to come out of your tables 

 with a six ; and having your men spread, you not 



