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Sixteenth. No. 1, 6, 7, 10, 12, 14, 15 black men ; 19, 20, 21, 22, 23, 26, 30 white men, and white to move.

w 20, 16 b 15, 24 w 22, 18 b 12, 19
w 18, 2

Seventeenth. No. 2, 3, 16, 23 black men, 14 a black king; 1,5 white kings, 9, 29, 31 white men, and black to move.

6 23. 27 w 31. 24 b 16. 19 W 24, 15
b 14, 10 w 15, 6 b 3, 7 w 29, 25
b 7, 10 w 25, 22 b 12, 14

Lighteenth. No. 10, 13, 17 black men, 27 a black king ; 19, 22, 26, 30 white men, and white to play

w 26, 23 b 17, 26 w 19, 16 b 27, 18
w 30, 7

Nineteenth. No. 1, 6, 10, 19, 20 black men; 13, 15, 27, 28, 31 white men, and white to play. . w 13, 9 b 6. 13 w 15, 6 b 1, 10

w 27, 24 b 20, 27 w 31, 6

7'wentieth. No. 1, 3, 5, 6, 7, 12. 20. 21 black men; 14, 15, 19, 23, 26, 27, 30 white men, and white to play.

w 19, 16 b 2), 30 w 14. 10 b 7, 14
w 27, 2 b 12, 19 w 23, 16 b 30, 23

Twenty-first. No. 3, 6, 10, 13, 14, 17, 19 black men; 7, 20, 21, 22, 26, 30 white men, and black to move.

b 19, 23 w 26, 19 b 17, 26 w 30, 23
b 14, 18 w 23, 14 b 10, 17 w 21, 14
b 3, 17

Twenty-second. No. 2, 7, 10, 11, 12, 13, 14, 21 black men ; 9, 20, 22, 23, 26, 30, 31, 32 white men, and white to move.

w 20, 16 b 11, 20 w 19, 15 b 10, 19
w 23, 16 b 12, 19 W 22, 17 b 13, 22
w 26, 3

Twenty-third. No. 3, 5, 8, 10, 11, 15, 16, 22 black men ; 17, 18, 20, 27, 28, 29, 31, 32 white men, and white to move.

w 31, 26 b 22, 31 w 18, 14 b 31, 24
w 14,7 b 3, 10 W 28, 3

Twenty-fourth. No. 5, 12 black men, 14, 29, 32 black kings; 8, 9, 30, 31 white men; 15 a wbite king, and white to move.

w 31, 27 b 32, 23 w 30, 25 b 29, 22
w 15, 10 b 14, 7 w 8, 3 b 5, 14
w 3, 19

THE GAME OF HAZARD.

Any number of persons may play at this game. He who takes the box and dice throws a main, i.e. a chance for the company, which must exceed four, and not be more than nine, otherwise it is no main ; he consequently must keep throwing till he produce five, six, seven, eight, or nine; this done, he indst throw his own chance, wbich may be any above three, and not exceeding ten ; if he should throw two aces or trois-ace, (commonly termed crabs) he loses his stakes, let the company's chance, which we call the main, be what it may. If the main should be seven, and seven or eleven is thrown immediately after, it is called a nick, and the caster (the present player) wins out his stakes. If eight be the main, and eight or twelve should be thrown directly after, it is also termed a nick, and the caster wins his stakes. The caster throwing any other number for the main, such as are admitted, and brings the same number immediately afterward, it is a nick, and he gains whatever stakes he has inade. Every three successive mains the caster wins he pays to the box, or furnisher of the dice, the usual fee.

The meaning of a stake or bet at this game differs from any other. If any one chooses to lay some money with the thrower or caster, he must place his cash Cpon the table, within a circle destined for that purpose; when he has done this, if the caster agrees to it, he knocks the box upon the table at the person's money with whom he intends to bet, or mentions at whose money he throws, which is sufficient, and he becomes responsible for whatever sum is down, unless the staker calls to cover; in which case the caster is obliged to stake also, else the bets are void. The person who bets with the thrower may bar any throw which the caster may be going to cast, on condition neither of the dice is seen; but if one die should be discovered, the caster

must throw the other to it, unless the throw is barred in proper time.

TABLE OF THE ODDS. ! If seven is the main and four the chance, it is two to one against the thrower.

6 to 4 is 5 to 3
5 to 4 is 4 to 3
7 to 9 is 3 to 2
7 to 6 13 to 2, barring two trois.

16 to 5, with the two trois. 7 to 5 is 3 to 2

even, barring two trois. 6 to 5

5 to 4. with two trois. K. 8 to 5 8 10 5

Seven, barring two fours.

5 104, with two fours. 9 to 5 is ever. 9 to 4 is 4 to 3.

The nick of seven is seven to two, sometiines laid ten to three.

The nick of six and eight is five to one.

It is absolutely necessary to be a perfect master of these odds, so as to have thein as quick as thought, for The purpose of playing a prudent game, and to make use of them by wav of ensuring bets, in what is termed hedging, in case the chance happens to be not a likely one; for a good calculator secures himself, by taking the odds, and often stands part of his bet to a certainty. For instance, if seven is the main, and four the chance, and he has five dollars depending on the main, by tak. ing six dollars to three, he must either win two dollars or one; and on the other hand, if he does not like his chance, by laying the odds against himself be must save in proportion to the bet he has made.

Additional Calculations on Hazard. If 8 and 6 are main and chance, it is nearly 11 to 12 that either one or the other is thrown off in two throws.

If 5 and 7, or 9 and 7. are inain and chance, the pro. hability that they will be tbrown in two throws, is near 11 to 12. - If 5 and 8, or 9 avd 3, cr 5 and 6, or 9 and 6, are main and chance, the probability of throwing one of tbem in two throws is as 7 to 9 exactly.

And if 7 and 4, or 7 and 10, are main and chance, the probability that they will be thrown out in two throws is also as 7 to 9.

If 7 and 8, or 7 and 6, are main and chance, you : may lay 15 to 14 that one of them is thrown in two throws.

But if 5 and 4, or 5 and 10, or 9 and 4, or 9 and 10, are main and chance, he that engages to throw either main or chance in three throws has the worst of the lay; for it is very near as 21 to 23.

If the main be 7, the gain of the setter is about one and one third per cent.

If the main be 6 or 8, the gain of the setter is about two and a half per cent.

If the main be 5 or 9, the gain of tbe setter is about one and a half per cent.

But should any person be resolved to set up on the first main that is thrown, his chance is about one and seven eighths per cent.

Hence the probability of a main to the probability of no main, is as 27 to 28, or very nearly.

If a person should undertake to throw a six or an ace with two dice in one throw, he ought to lay 5 to 4.

Another table displaying the odds against winning any number of events successively; equally applicable to Hozard, Faro, Rouge et Noir, Billiards, or other games of chance.

1. It is an even bet that the player loses the first time.

2. That be does not win twice together, is 3 to 1 Three successive times . . . . . . . 7 to I Four ditto . . . . . .

. . 15 to 1 Five ditto . . ... .. . .. .. 31 to 1 and in that proportion to any number doubling the odds every time with the addition of one for the stake.

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