The game of roulette is composed of two distinct divisions, that of
numbers and that of _cadres_. Upon the former it is possible for the
player to win thirty-five times the value of his stake; but then, the
bank has thirty-six chances against him. Upon the _cadres_ there is not
so great a risk; for _rouge_ or _noir_, _pair_ or _impair_, _passe_ or
_manque_, there are nearly the same chances for the players as there
are for the bank; but then, on the other hand, the player can win no
more than the value of his stake.
The bank, with the odds on zero, normally absorbs one-seventieth of
all the money staked on each table during the course of the year; that
would be against constant players with capital behind them equal to the
bank; but the majority of players take a comparatively limited sum with
them and play without a system, until it is lost, and then perforce
stop; whereas if they had the bank’s unlimited time and capital, they
would play, losing only one-seventieth of their stake on each coup,
and prolong the time required to lose a given capital. This constant
game of what would in America be called “freeze out,” enormously
increases the bank’s chances over the calculable one-seventieths of
the staker, and is doubtless the main cause of its large winnings. The
_profits_ of the company were, in 1904, something like £1,250,000.
This, at the calculable odds, would mean the staking during the year
of the enormous sum of £87,500,000. But owing to the way the usual
player stakes, as above described, probably a small fractional part of
that sum would be sufficient to provide that amount of revenue. As M.
Blanc was wont to say: “Rouge gagne quelque fois; noir aussi quelque
fois—mais _Blanc_ toujours.”
If players had unlimited capital, and were allowed without check to
adopt the martingale or pyramid system, they would run small chance
of losing. This consists in choosing a _cadre_ and playing resolutely
upon it, each time doubling the stake, until that which is backed wins,
which it is certain to do if continued long enough. When it wins, the
player has recovered the total of his stakes plus one, except the toll
on zero, whereupon he would revert to the minimum stake. But the bank
knows this as well as any one, and draws a line beyond which there is
no doubling allowed.
Public-domain text, read in full here on John Shaqi.
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