Rouge et noir, also R & N (dt. red and black) is a gambling with Spielkarten; it is to have been introduced by cardinal Mazarin at the French yard. From adding two further chances from it the Trente resulted et quarante.

The play

The following description of the play originates from Meyers encyclopedia from 1868 (in original Orthographie)

"“Rouge et noir (franz., spr. ruhsch e noahr, "“black and red"”), a gambling, for which six complete Whistspiele, thus 312 maps are necessary. The number the POINT your, which play against the banker, is unrestricted. One plays a red and a black at a table, whose cover disintegrates into two from each other fields separated by a strip, to whose one each Pointeur sets its sentence. With beginning of the play the banker lets the all maps go to the right through the hands of the Mitspielenden, of which everyone has the right to mix her. If it all again with it arrived, he mixes her again, takes from the impact so much down, when he can keep comfortable in the hand, and pulls with the call: "“Le jeu est fait!"” a map off, which it puts openly in the middle on the table. Keeping the maps always in the left hand, he continues taking it off individually and lining her up beside first on the table, whereby he says the value of the individual map as well as to the being laid out eye sum, until exceeds these latter 30 and a value more largely equivalent 31 and smaller equivalent 40 reached [formulation was specified by the author]. Here the figures 10, the other maps apply so much, when they have eyes, the Asse to 1. In such a way put row applies to the POINT your of the red field; after it the banker puts second for the opposing party in the same way. That color, whose number of the 30 stands first, wins the POINT your its made sentence simply, what the banker with the call "“Le rouge perd!"” (or gagne) announces. The same draws in on that all sentences in the losing field and pays the sentences in the other field. Credit both rows the same value, which the banker indicates by "“"”, then remains the Koup undecided, and which must rows again are put, unless the same amounts to on both sides 31 (de refait trente un), in which case half of all sentences in both fields is given to the banker. The used maps are not again used; for each new Koup also new maps are taken off from the impact of the banker."”

Analysis

In order to determine the chances of the bank with Rouge et noir, one can rely on the following consideration:

The eye sum 40 can appear only if as last map of the appropriate row one of the four values K, Q, J or 10 falls.

The eye sum 39 can appear only if as last map of the appropriate row one of the five values K, Q, J, 10 or 9 falls.

The eye sum 38 can appear only if as last map of the appropriate row one of the six values K, Q, J, 10, 9 or 8 falls; and so on.

The eye sum 31 finally can be received, if as last map of the appropriate row one of the thirteen of possible values falls.

One takes now (simplified) on that the probabilities of appearance of the numbers 31, 32,"…, 39, 40 in the relationship 13: 12: "…: 5: 4 stands, then one receives that the Refait arises on the average approximately once in 39 coups coups are not counted).

Since into the case of a Refait the bank draws only half of the employments, the advantage of the bank amounts to straight 1/2 * 1/39 or approx. 1.28%. The bank advantage is thus slightly smaller than with the bet on red or black with Roulette, these amounts to 1.35%.

Articles in category "Rouge et noir"

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