“And what do you say on the main event?”

“Oh, red on that too.”

“Very good. I go on dealing for noir. Queen of diamonds, three of spades, knave of hearts—nine of spades: thirty-two. That looks ugly for your two events, black coming so near as thirty-two. Now for red. Four of hearts, knave of spades, seven of diamonds, queen of clubs—thirty-one, by Jove! Rouge gagne, et couleur. There is nothing like courage. You have won both events.”

“Oh, what a nice game!” cried Zoe.

He then continued to deal, and they all bet on the main event and the color, staking fabulous sums, till at last both numbers came up thirty-one.

Thereupon Severne informed them that half the stakes belonged to him. That was the trifling advantage accorded to the bank.

“Which trifling advantage,” said Vizard, “has enriched the man-eating company, and their prince, and built the Kursaal, and will clean you all out, if you play long enough.”

“That,” said Severne, “I deny. It is more than balanced by the right the players have of doubling, till they gain, and by the maturity of the chances: I will explain this to the ladies. You see experience proves that neither red nor black can come up more than nine times running. When, therefore, either color has come up four times, you can put a moderate stake on the other color, and double on it till it must come, by the laws of nature. Say red has turned four times. You put a napoleon on black; red gains. You lose a napoleon. You don't remove it, but double on it. The chances are now five to one you gain: but if you lose, you double on the same, and, when you have got to sixteen napoleons, the color must change; uniformity has reached its physical limit. That is called the maturity of the chances. Begin as unluckily as possible with five francs, and lose. If you have to double eight times before you win, it only comes to twelve hundred and eighty francs. Given, therefore, a man to whom fifty napoleons are no more than five francs to us, he can never lose if he doubles, like a Trojan, till the chances are mature. This is called 'the Martingale:' but, observe, it only secures against loss. Heavy gains are made by doubling judiciously on the winning color, or by simply betting on short runs of it. When red comes up, back red, and double twice on it. Thus you profit by the remarkable and observed fact that colors do not, as a rule, alternate, but reach ultimate equality by avoiding alternation, and making short runs, with occasional long runs; the latter are rare, and must be watched with a view to the balancing run of the other color. This is my system.”

“And you really think you have invented it?” asked Vizard.

“I am not so conceited. My system was communicated to me, in the Kursaal itself—by an old gentleman.”