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Any one undertaking to throw a six or an ace with two dice, in one throw, ought to lay 5 to 4.

At all games of chance with dice, the chances are against the caster, whereas at those with cards they are almost invariably in favour of the banker.

ROUGE ET NOIR.

A Rouge et Noir Table.

THIS game, which is comparatively of modern origin, is sometimes called trente et quarante, but more generally Rouge et Noir, from the colours marked on the tapis or green cloth with which the table is covered. The march of the game is as follows:

The first parcel of cards played is usually for Noir, the second for Rouge, though sometimes the cards are cut to determine which shall begin. Any number of persons may play, and risk their money on the colour they please, placing the stakes in the outer semicircle; but after the first card is turned up, no money can be staked for that coup.

The dealer and the croupier being seated opposite to each other, the former takes six packs of card, shuffles and distributes them in various parcels to the different players to shuffle and mix. He then finally shuffles them, and removes the end cards into various parts of the three hundred and twelve cards, until he meets with a court card, which he must place upright at the end. This done, he presents the pack to the punters to cut, who place the court card where the dealer separates the pack, and that part of the pack beyond the court card, he places at the end nearest to him, leaving the court card at the bottom of the pack.

The dealer then takes a quantity of cards, about as many as a pack, and looking at the first card to ascertain its colour, places it on the table face downwards, and takes two cards, one red, the other black, and sets them back to back; these are turned and placed conspicuously as often as the colour varies in each event. All the terms used at this game are French: thus the punters having staked their money, the dealer says,"Votre jeu est il fait ?" Is your game made?

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or, "Votre jeu est il pret ?" Is your game ready? He then commences dealing, placing the first card with its face upwards, saying "Noir," and continues dealing until the cards turned exceed thirty points, which he announces as trente et un, or whatever it may be.

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Another parcel is then dealt for Rouge in a similar manner, and the punters win who had staked on that colour the points for which were thirty-one, or the nearest to it, which the dealer declares by saying, "Rouge gagne," or rouge perde." These two parcels constitute what is called a coup. When the same number is dealt for each, the dealer says, Apres," which forms a refait, or doublet, by which neither party wins. Hitherto it must be obvious, that the chances between the banker and the player are equal; but when the banker, having turned up thirty-one for Noir, deals the same number of points (31) for Rouge, he is intitled to half the amount of every stake on either colour.*

As the principle of this game requires that the number of points dealt for Noir or Rouge should, at least, amount to 31, a little reflection suggests to us, that the doctrine whereby the numerical value of the cards is determinable, precludes the

*The banker seldom takes the money, but removes it into the middle line on which colour the punters please; this is called la premiere prison. If they win the next coup, they win the whole; but in the event of a second doublet of trente et un, it is removed into the third line, or la seconde prison; the dealer has now won three-fourths of the money, and the next coup determines whether the player loses all his stake, or whether it is to be removed again into la premiere prison. The amount of the stakes is generally limited; but it may be exceeded by an agreement to that effect between the punter and the banker, in which case he announces his intention thus-" Je vais à la banque."

points for Noir or Rouge exceeding 40, at most, in number, and that the point of 40 can be made only where the last card dealt out for the Noir or Rouge furnishes 10 points.—On the ground of this suggestion, we are enabled to establish, that the point of 40 can happen only where the last

card is.....

39 may occur

........

....

..... ..........

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38

........

37

36

35

34

..................

33

....

32

but that 31

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9 or 10 either 8, 9, 10

7, 8, 9, 10 6, 7, 8, 9, 10

5, 6, 7, 8, 9, 10 4, 5, 6, 7, 8, 9, 10 3, 4, 5, 6, 7, 8, 9, 10 2, 3, 4, 5, 6, 7, 8, 9, 10 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Now as effects are produced in ratio to the number of their causes, we see that of the points investigated, from 31 to 40 inclusive, some will happen more frequently than others; and hence, as the peculiarity of this game attaches the same numerical value to a king, to a queen, or a knave, as is incident to a ten usually so known, by adding three to the number of causes by which each point is producible as above, we are furnished with a fundamental rule, that where the point of

31 happens (10+3) or 13 times,
32 will occur (9 +3) or 12

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Two of these points being necessary to constitute a coup, which may be identical in the numerical amount of Noir and Rouge, we find by multiplying the proportional times of the occurrences into themselves, that where the refait of

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And on the same principle of calculation, we deduce that the square of 85, the sum of the number of proportional occurrences illustrated in (A), will give the quantity of times in which all the events, identical, or differing in their results, will be produced in virtue of the number of causes previously shown to belong to each.

Thus, in (853) or 7225 coups, where the point of 31 and 31

(13) or 169 times. (13×12) or 157

happens

31 and 33

......

(13 X 11) or 143

31 and 32

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