7
In order to profit by these laws, which are perhaps fallacious and in any case untrustworthy, and to secure himself against their treachery, he has contrived a host of ingenious systems which sometimes enable him to win but most often merely retard his ruin.
But, before speaking of these systems, let us begin by saying that we shall concern ourselves here only with the even chances, red or black, pair or impair, passe or manque. These are sufficiently complicated in themselves and set us problems that would be enough to exhaust all the shrewdness of a human life. As for any other than the even chances, en plein, à cheval, transversales, carrés, douzaines and so forth, these, both in theory and in practice, escape all control, calculation or explanation.
Whatever system he adopt, the gambler is always tossing heads or tails against the bank. He has a chance and the bank has a chance; but zero gives the bank odds against him; and, though zero is apparently a very mild tax, since at rouge-et-noir in thirty-six chances the bank has only half a chance more than the player, it is bound to be ruinous in the end. To escape the abruptness of a decision which, if he placed all that he possessed on the red or the black, would end the game at a single stroke, the player divides his stake, so as to be able to defy a large number of chances, hoping that, thanks to a skilfully graduated progression, he will end by lighting on a favourable series in which the gains will exceed the losses. This is the underlying principle of all the systems, which are never anything but more or less ingenious, prudent and complicated martingales. There are not, there never will be any others, in the absence of a miracle which has not yet occurred, of an intuition which foresees what the ball will decide, or of an unknown force which will oblige it to act as a player wishes.