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lotteries composed of seven dice, which notwithstanding the vigilance of the police, are still to be found at country fairs and on race courses. These lotteries, for the mean numbers only, hold out an advantage inferior to the sum staked, while, on the other hand, they present the glittering temptatation to the uninitated of a large prize for the extreme numbers, which almost never come up, for to shew the ruinous nature of these schemes, it will be only necessary to state that the odds of throwing a raffle with seven dice are 40,000 to 1, while the value of the prize is not the sixth part of the risk.

A thorough knowledge of the above rules is indispensable at the games of Hazard and Backgammon, and will enable the player to calculate with rapidity all the various chances they present.

COMBINATIONS OF DICE.

A TABLE showing the Number of Throws upon any Number of Dice, from 1 to 9 inclusive.

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50

20

90

20

6

20

00

00

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1 quadruple and 1 triplet..
1 quintuple and 2 simples..
1 quintuple and 1 doublet..
1 sextuple and 1 simple....
1 septuple.........

For eight dice.

2 doublets and 4 simples.. 10080
3 doublets and 2 simples..

.......... 151200 ....302400

00

5040

0

4 doublets.... .. ...

2520

6

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0

1 triplet, 1 doublet, and
3 simples

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To have

For nine dice.

3 doublets and 3 simples
4 doublets and 1 simple..
1 triplet, 1 doublet, and 4
simples.......

1 triplet, 2 doublets, and
2 simples...........
1 triplet and 3 doublets..
2 triplets and 3 simples...

Determinate.
throws.

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2 triplets, 1 doublet, and}

1 simple.......

3 triplets

......

Indeterm. throws.

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...604800

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5040

1 quadruple and 5 simples 15120

1 quadruple, I doublet,} 7560

and 3 simples...

1 quadruple, 2 doublets,} 3780........680400 and 1 simple............ 1 quadruple, 1 triplet, and 2 simples.......

1 quadruple, 1 triplet and 1 doublet

........

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2520

453600

1260151200

630.......... 37800 3024..........907200

1512 ..........272160

756 .......... 45360

:}

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1 quintuple and 1 quad.
1 sextuple and 3 simples..
1 sextuple, 1 doublet, and
1 simple............
1 sextuple and 1 triplet...
1 sextuple and 2 simples
1 sextuple and 1 doublet
1 octuple and 1 simple.....
1 noncuple......

TABLE showing the Number of different Ways in which a certain Number or determinate Point may be thrown with any Number of Dice, from 1 to 9 inclusive.

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