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To hit 'lpon

The odds of entering a man upon 1, 2, 3, 4, or 5 points, are Answer.

Reduced. To enter it upon for. against

for. against. 1 point is 11 to 25,

or about

4 to 9
2 points
20 to 16,

5 to 4
3 points 27 to 9,

3 to 1
4 points
32 to 4,

8 to 1
5 points
35 to 1,

35 to 1 The odds of hitting, with any chance, in the reacu ui a single die, are, Answer.

daiced. for. against.

for. against. 1 is 11 to 25,

or about

4 to 9
2
12 to 24,

1 to 2
3
14 to 22,

2 to 3
15 to 21,

5 to 7 15 to 21,

5 to 7 17 to 19,

8 1-2 to 9 1-2 The odds of hitting with double dice are as follow: Answer.

Reduced. To hit upon for. against

for. against. 7 is 6 to 30,

or about 1 to 5
8
6 to 30,

1 to 5
9
5 to 31,

1 to 6
10
3 to 33,

1 to 11
11
2 to 34,

I to :7
12 (or 26's) 1 to 36,

1 to 35 To explain to a learner how to find by the table of 36 chances the odds of being hit upon any certain or flat die, this second example is added, to show how to find by that table the odds of being hit upon a 6. 2 Sixes

1 6 and 3 twice. 2 Trois

6 and 2 twice. 2 Deuces 1 6 and 1 twice.

2 6 and 5 twice

5 and I twice. 6 and 4 twice

5 and 2 twice.

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17

Which, deducted from 36

There remain 19

By which it is evident, that it is 19 to 17 against being hit upon a 6.

The Odds of the Hits.
2 love is about 5 to 2
2 to 1 is 2 to 1

1 love is 3 to 2 1. If you play three up at back gammon, your priocipal aim, in the first place, is, either to secure your own or your adversary's cinque point; when that is achiev. ed, you may play a pushing game, and try to gammon your adversary.

2. The second best point (after you have gained your cinque point) is to make your bar point, thereby preventing your adversary's runoing with two sixes.

3. After having proceeded thus far, you are then to prefer the making vour quatre point, in your own ta. bles, rather than the quatre point out of them.

4. Having effected these points, you have a fair chance to gammon your adversary, if he is very forward : for, suppose his tables are broke at home, it will then become your interest to open vour bar poirit, and to force him io come out of your tables with a six; and having your men spread, you may not only catch that man which your adversary brings out of your tables, but you will also have a probability of taking up the man left in your tables (supposing that he had two men there.). And suppose he should have a blot at home, it will then be your interest not to make up your tables; because, if he should enter upon a blot, which you are to make for the purpose, you will have a probable chance of getting a third man; which, if achieved, will give you, at least, 4 to 1 of the gammon; whereas, if you have only two of his men up, the odds are in his favour that you do not gam. mon him.

5. If you play for a hit only, one or two meo taken up of your adversary's makes it surer than a greates number, provided that your tables are made up.

6. Instructions how to carry your Men home. When you carry your men home, in order to lose po point, you are to carry the most distant man to the bar

point of your adversary, that being the first stage; the next stage is six points farther, viz. in the place where your adversary's five men are first placed out of his lables; the next stage is upon the sixth point in your ta. bles. This method is to be pursued till your men are brought home, excepting iwo, when, by losing a point, you may save your gainmon, by putting it in the power of two fives or two fours to save it.

7. When a bit is only played for, you frequently should deavour 10 gain either your own or your adversary's cinque point; and if that fails by your being hit by your adversary, and you find that he is forwarder than yourself, you must throw more men into his tables; which is done thus: put a man upon your cinque or bar point, and if your adversary neglects to hit it, you may then gain a forward game, instead of a back game; but if he bits you, you must play for a back game, and then the greater number of men which are taken up make your game the better, because you will, by that means, preserve your game at home; and then you should endeavour to gain both your adversary's ace and trois points, or his ace and deuce points, and take care to keep three men upon his ace point, that if you hit him from thence that point may remain still secure to you.

8. At the beginning of a set do not play for a back game, because it would be running the risk of a gaminon to win a single hit.

RULES

For playing, at setting out, the 36 chances of the tice, when you are to play for a gammon, or for a single hit.

1. Two aces, to be played on your cinque point and bar point.

2. Two sixes, to be played on your adversary's bai poiut, and on your own bar point.

3. *Two trois, to be played on your cinque point, and on your trois point in your own table, for a gammon only.

4. fTwo deuces, to be played on your quatre point in your own tables, and two from the five men placed in your adversary's tables, for a gammon only.

5. [Two fours, from the five men placed in your adversary's labies, to the cinque polot in your own tables, for a gammon only.

6. Two fives, from the five men placed in your ad. versary's tables, to the trois point in your own tables.

7. Size-ace, you are to take your bar point.

8. Size deuce, a man from the tive men placed in your adversary's tables, to the cinque point in your own tables.

9. Six and three, a man from your adversary's ace point, as far as he will go.

10. Six and four, a inan from your adversary's ace point, as far as he will

go. 11. Six and five, a man from your adversary's ace point, as far as he can go.

12. Cinque and quatre, a nan from your adversary's ace point, as far as he ean go.

13. Cinque trois, make the trois point in your tables.

14. Cinque deuce, two men from the five placed in your adversary's tables.

15. *Cinque-ace, one man from the five placed in your adversary's tables for the cinque, and one man on the cinque point in your own tables, for a gammon only.

16. Quatre trois, two men froin the five placed in your adversary's tables.

17. Quatre deuce, make the quatre point in your own tables.

18. +Quatre ace, a man from the five placed in your adversary's tables for the quaire, and a man upon the cinque point in your own tables, for a gammon only.

19. Trois-deuce, two men from the five placed in your adversary's tables, for a gainmon only.

20. Trois-ace, make ine cinque point in your own tables.

21. * Deuce ace, play one man froin the five men pla. ced in your adversary's tables for the deuce; and for the ace, a man upon the cinque point in your own tables, for a gammon only.

RULES How to play the chances that are marked thus * a hil only.

1. *Two trois, two of them on your cinque point in your own tables, and two on the quatre point in your adversary's tables.

2. † Two deuces, two on your quatre point in your

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own tables, and two on the trois point in your adver. sary's tables.

The two preceding cases are to be played in this manner, for this reason, viz. that thereby you avoid being shut up in your adversary's tables, and have the chance of throwing high doublets, to win the hit.

3. *Two fours, iwo on your adversary's cinque point in his tables; and two men from the five placed in your adversary's tables.

4. * 1. Cinque ace, play the cinque from the five men placed in your adversary's tables, and the ace from your adversary's ace point.

5. * 2. Quatre-ace, play the quatre from the five men placed in your adversary's tables, and the ace from the men on your adversary's ace point.

6. * 3. Deuce ace, play the deuce from the five men placed in your adversary's tables, and the ace from your adversary's ace point.

7. These three last chances are played in this manner, for the following reason: by laving an ace down in your adversary's tables, you have a probability of throwing deuce-ace, trois-deuce, quatre irois, or size cinque, in two or three throws: in any of which cases you see cure a point, which gives you vastly the best of the hit.

You may observe by the directions given in this chapter, that you are to play nine chances out the of thirty-six in a different manner, for a single hit than for a gammon.

Cautions, Observations, and Hints. 1. To play for a gammon you are to make some blots on purpose, the odds being in your favour, that they are not hit: but if any blot is hit, as you will have three men in your adversary's tables, you must then try to secure your adversary's cinque, quatre, or trois point, to prevent a gammon, and must be very cautious how suffer your adversary to take up a fourth man.

2. Do not crowd your game by putting many men either upon your trois or deuce point in your own tables ; which is, in effect, losing those men by not having them in play. Besides, by crowding your game, to save a gammon, you are often gammoned: because when your adversary finds your gaine crowded in your own tables, he may ihen play his game as he thinks

proper 3. By the following calculations, you may know the

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