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m to become very heavy indeed. Be it noticed that at every win he scores off only a small portion of the balance against him, while every run of luck against him adds to that score heavily. And notice, moreover, that while on this system he does not quickly approach the limit which the bank may assign to stakes, he much more quickly encroaches on his own capital--a circum-
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stance which is quite as seriously opposed to his chance of eventual success as the finality of the bank limit. So far as the carrying out of his system is concerned, it matters little whether he is obliged to stop the play on the system because his pockets are emptied, or because the bank will not allow him further to increase his stake.
Similar remarks apply to the following method, which has recently been suggested by another correspondent of ' Knowledge' as an improved system:
'My improvements,' he writes, 'consisted, first, in arranging that two Players should play in concert, one staking persistently upon one color while the other staked upon the other. A run of ill-luck to one would then be somewhat counterbalanced by the run of good luck to the other, while sometimes both would seem to be winners.
Second, in staking the sum of the extreme figures in the guide-column only when the number of figures
1
2
in it was even; when they were odd, e.g., 3 only the 4 5 highest, 5; is staked. Thus the rise of the stakes is considerably reduced, while the principle of the play is still carried out.
Third, in splitting up a game when a run of ill luck
has occurred into two or more games, and winning these seriatim. Suppose, for instance, that the chances of the game have brought the guide-column into the
s2
form given in the margin. The player has actually lost 30, and must win 36 to gain 6. tie might stake 36, but this would be rash. He should play more cautiously, and convert the column into 3 new columns,
totaling 12 each, or even into 4, totaling 9, -1
--2
I --3
2 I 3
3 of 2 or 4 of 2 --4
3 3 --4
4 3 6
-- -- 6
Total 12 Total 9 --9
12
and play. out three or four encounters with the guidance of these columns. If luck T makes the securing of success in these a long affair, his partner is meanwhile reaping
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