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X
OF GAMBLING
1
PAULO MINORA. This essay, I need hardly
say, consists of notes made before the war and put in order now, at a time when
victory allows our thoughts to stray for a moment from the great tragedy in
which the destinies of mankind have been at stake. For the rest, the subject,
however frivolous it may at first sight appear, sometimes touches or seems to
touch problems which it is not unfitting to examine, were it only to realize
that they are perhaps illusive. Moreover it is unfortunately probable that,
when peace is restored, our allies will visit in too numerous and confiding
crowds the dubious havens of delight which we are about to enter. I have no
pretension to serve them as a guide nor to teach them how to fight against the
whims of fortune; but a handful of them may find in these lines, if not useful
hints or profitable advice, at least some few reflections or observations which
will pave the way for their own experiments or render them easier.
2
Let us then pay a last visit
to one of those green tables which spread their length in the somewhat
disreputable place of which I have written elsewhere1 as the
"Temple of Chance." To-day I would rather call it the Factory of
Chance, for it is here that, for more than half a century, without respite or
repose, on weekdays, Sundays and holidays alike, daily from ten o'clock in the
morning till twelve o'clock at night, with croupiers unintermittently relieving
one another, men have obstinately manufactured Chance and doggedly consulted the
formless and featureless god that shrouds good luck and ill within his shadow.
We do not yet know what he
is nor what he wants; we are not even sure that he exists; but surely it would
be astonishing if no result of any kind, no clue to the tantalizing puzzle, had
emerged from this endless effort, the most gigantic, the most costly, the most
methodical that has ever been made on the brink of this gloomy abyss, if
nothing had been born of all this furious work, however trivial, however
unhealthy and useless it may appear.
In any case, at these
tables, as at all places where passions become intensified, we are able to make
interesting observations and, among other things, to behold at first hand,
violently foreshortened and harshly illuminated, certain aspects of man's
lifelong struggle with the unknown. The drama, which as a rule is long drawn
out, projecting itself into space and time and breaking up amid circumstances
that escape our eyes, is here knit together, gathered into a ball, held, so to
speak, in the hollow of the hand. But, for all its speed, its abruptness of
movement and its extreme compression, it remains as complex and mysterious as
those which go on indefinitely. Until the ivory ball that rolls and hops around
the wheel falls into its red or black compartment, the unknown veiling its
choice or its destiny is as impenetrable as that which hides from us the choice
or the destiny of the stars. The movements of the planets can be calculated
almost to a second; but no mathematical operation can measure or predict the
course of the little white ball.
Your most skilful players,
indeed, have given up trying. Not one of them any longer seriously relies. on
intuition, presentiment, second sight, telepathy, psychic forces or the
calculation of probabilities in the attempt to foresee or determine the fall of
a destiny no larger than a hazel-nut. All the scientific part of human
knowledge has failed; and all the occult and magical side of that same
knowledge has been equally unsuccessful. The mathematicians, the prophets, the
seers, the sorcerers, the sensitives, the mediums, the psychometrists, the
spiritualists who call upon the dead for assistance, all alike are blind,
confounded and impotent before the wheel and before Destiny's thirty-seven
compartments. Here Chance reigns supreme; and hitherto, though it all happens
before our eyes, though it is repeated to satiety and may be held, let me say
once more, in the hollow of our hand, no one has yet been able to determine a
single one of its laws.
3
Yet such laws seem to exist;
and thousands of players have ruined themselves in following their forms or
their elusive and deceptive traces. Let us take a bundle of those records or permanences, published at Monte Carlo, which give day by day the list of all
the numbers that have come up at one of the roulette or trente-et-quarante tables. As everybody knows, these numbers are
arranged in long parallel columns, the black on the left and the red on the
right. When we look at one of these sheets, containing as a rule ten columns of
sixty-five numbers each -- dead and harmless cyphers now, though once so
dangerous, once destructive of so many hopes and perhaps inspiring more than
one disaster -- we observe a tendency towards a fairly perceptible equilibrium
between the red and the black. Most often the two chances balance each other,
singly or in little groups, a black, a red, two blacks, three reds, three
blacks, two reds and so on. When we come upon a series of five, six, seven,
eight, sometimes eight, nine, ten, eleven, twelve consecutive blacks, we are
almost certain of finding not far away a compensating series of five, six,
seven, eight or ten reds. There is a very real rhythm, a sort of breathing or a
cadenced movement to and fro of the mysterious creature which we call Chance.
This rhythm or balance is moreover confirmed by the final statistics of the
day, from which we learn that, in a total of six hundred and so many spins of
the ball, the difference between the black and the red very seldom exceeds
twenty or thirty; and this difference is even smaller in the total for the
week, that is to say, in a total of nearly five thousand spins, when it is
usually reduced to a few units.
4
The monster has other
strange habits. We see, for instance, that it is not uncommon for a number to
come up twice in succession; and it is undeniable that, in each day's play, two
or three numbers are obviously favoured, so much so that we may hurl out a
challenge to logic and declare that the more frequently a number occurs the
more chances it has of reappearing. This seems to conflict with the law of
equilibrium which we have remarked; but it must be observed that this
equilibrium will be recovered later, that by the end of the week the difference
will no longer be very great and that they will almost disappear when the month
is over. The equilibrium is more slowly restored because we must multiply the
number of series by eighteen and a half to reach the proportions of the even
chances.
Players note yet another law which, for that matter,
is but a corollary of the former habit, but which has something curiously human
about it: the chances which lag behind show a greater eagerness to regain their
lost ground at the moment that follows more or less closely upon a halt, as
though they had recovered their breath after a brief rest on the landing of a
staircase.
Let us add at once that it
is wise to distrust these fluctuating habits and these gropings after laws. For
instance, red has been known to beat black by seventy per cent. in the course of a day's play.
Black, on the other hand, as people still remember at Monte Carlo, one day came
up twenty-nine times in succession and the second dozen twenty-eight times
without a break. Chance has not our nerves; it is not, like us, impatient to
make good its losses or to carry off its gains. It takes its time, awaits its
hour and does not trouble to keep step with our ways of life.
5
Players as a rule attribute
these habits or caprices to a trick of the croupier's hand. This is hardly
tenable. After all, we know how the thing is done. The ball drops into its
compartment and the croupier announces, for instance:
"13, black, impair and manque."
The losses are raked in, the
winnings are paid out, the players renew their stakes, there is sometimes a
brief dispute, somebody asks for change and so on. These operations vary a good
deal in length; and all this time the wheel carrying the ball is making
hundreds of revolutions. The croupier stops it at last, takes the ball,
reverses the wheel and sends the ball spinning in the opposite direction. It is
impossible under these conditions for his particular trick of the hand to
exercise any influence whatever. Besides, we can easily see from the chart of
the permanences that the change of
croupier does not perceptibly affect the rhythm of the even chances. It is not
the man who controls the rhythm but the rhythm that controls the man.
6
These gropings after laws m
what would seem a negation of all or any law; these strivings on the part of
Chance to quit its own domain and to organize its chaos; this god who denies
himself and seeks to destroy himself by his own hand; these incomprehensible
stammerings, these awkward efforts to achieve utterance and assume
consciousness are rather curious, we must admit. For the rest, it is these
efforts, these hankerings after equilibrium, this embryonic rhythm that
constitute the gamblers' good and bad luck. If Chance were simply Chance as we
conceive it on first principles, one would stake any sum anyhow and at any
moment. I am well aware that, according to the most learned theorists on
roulette, each coup is independent of all the others and begins as if nothing
had happened before, as if nothing were to happen afterwards, as if the table
were fresh from the shop, the wheel from the factory and the croupier from the
hands of God. In theory this is quite accurate; but we have just seen that in
practice it does not seem to be so. For that matter, it seems impossible to
explain the reason. Players are satisfied to observe the fact, while yielding
to a dangerous but very human tendency to exaggerate the scope and the
certainty of their observations.
They are too ready to see
laws where there is only a mass of coincidences as fleeting as clouds. It is of
course necessary that the reds and blacks, emerging successively from nowhere,
should find a place somewhere and form certain groups; and, if it is rather
surprising that at the end of the month their numbers are nearly equal, it
would be no less surprising if one of the colours were to prevail largely over
the other. It is perfectly true that, at first sight, the reds and blacks seem
to balance on the permanence sheets;
but it is also true that, when we examine more closely, a series of five or six
reds, for instance, interrupted by one or two blacks, not infrequently begins a
fresh run; and ill-luck may well have it that, at this moment, the player, in
his search for equilibrium, will start punting on the black and in a few coups
behold the disappearance of all the winnings slowly and laboriously wrested
from Chance, which is niggardly when one is winning and extremely generous --
to the bank -- when one is losing. For that matter, he will suffer the same
disappointment if he bets on the variation, in other words, against the
equilibrium, and will too often discover that these laws, when he puts his
trust in them, are writ in water, whereas they seem to be graven in bronze so
soon as they betray him.
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 martin-gales. 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.
8
I have no intention of
reviewing all these systems, which are innumerable and of unequal value: the paroli pure and simple, that artless,
violent, doubled stake which leads
straight to disaster; the D'Alembert and all its variants; the descending
progressions; the differential methods; the montant
belge; the parolis intermittents; the
snowball; the photographie; the
staking of equal amounts on certain groups of figures, which is a Chinese
puzzle demanding days of patient observation before it is attacked; and many others
which I forget, from the most clear-cut to the most mysterious, which are sold
at a high price, to credulous beginners, in sealed envelopes containing what is
everybody's secret and with all or nearly all of which I have become acquainted
thanks to the kindness of an erudite player. A detailed account of those most
frequently used will be found in D'Albigny's treatise Les Martingales modernes, in Gaston Vessillier's Theorie des systemes geometriques, in
Hulmann's Traite des jeux dits de hasard,
in Theo d'Alost's Theorie
scientifique nouvelle des jeux de la roulette, trente-et-quarante, etc., and,
above all, in the Revue de Monte Carlo, which
has given a system in every issue since the day of its foundation some fifteen
years ago. Whether mystic or transparent, all these methods present more or
less the same dangers, being all founded on the quick-sands of equilibrium and
temporary disturbance. If they are very cautious, the loss is trifling, but the
gain is still smaller; if they are bold, the gain is great, but the loss is two
or three times greater. The best of them, in order to continue the defence of a
moderate stake and of what has already been sacrificed, involve the risking an
the cloth, at a given moment, of all the previous winnings, which are soon
followed by the sums held in reserve. This is the inevitable revenge of the
bank, at which you thought that you were nibbling with impunity, but which
suddenly opens wide its jaws, like a blind and drowsy crocodile, and swallows
profits and capital at a single gulp.
9
The players hearten
themselves by maintaining that they have an incontestable advantage over the
bank. They begin to play, they "punt" when they like and as they like
and they withdraw when they please, whereas the bank is compelled to play
without stopping, to accept every stake and to meet every coup up to the
limit of the maximum, which, as we know, is six thousand francs on the even
chances. This advantage is a real one if the player, after winning a big sum,
goes away and does not come back again. But the lucky gambler, even more
infallibly than the one who has no luck, will return to the enchanted table and
in so doing loses the only effective weapon that he had against his enemy. To
choose your time for punting is but an illusory privilege, because everything,
at any moment, is equally shifting and uncertain; and you never know beforehand
when the precarious and deceptive law of equilibrium will reassert itself.
After a long sequence of blacks, you wager on a fine series of reds, a certain
run, you would say; but no sooner have you staked your money than the series
gives up the ghost and remorseless black resumes its devastating course; or
else you do the opposite: you bet on black and it is red that settles down for
a run. At whatever moment you start punting, you are always fighting red
against black, that is to say, one to one. Once more, the only real advantage
is that you can go away when you like; but where is the gambler, whether losing
or winning, who is able to go away and not come back?
10
After mature examination,
all these systems merely carve the brutal and crushing mass of luck into small
pieces. They act as a defensive padding against the blows of Chance, making
them less grave. They prolong the player's life or his agony. They enable the
owner of a modest purse to stake as often as the multimillionaire, who would
confine himself to betting double or quits indefinitely, if he were not stopped
by the fatal barrier of the maximum. But all mathematical operations, all
combinations of figures flutter and struggle like blind captives between bronze
walls. They merely dash themselves in vain against these walls, whether black
or red: both remain invulnerable and impregnable; and from their imprisoning
embrace there is no escape.
11
Does this mean that there is
no such thing as a defensible method and that the most skilful calculations
have not revealed a means of defeating Chance? In theory, I cannot bring myself
to believe that baseless calculations will ever do what they have not done up
to the present. It is none the less true that, in practice, we come upon some
which struggle with fair success against ill luck. For instance, a friend of
mine, a British officer, has a system which he has been using for a long time
and which yields astonishing results. It is, of course, a progression, the
whole of whose virtue lies in an ingenious and very simple key that seems to
act as a sort of talisman. I have not found this method in any of either the
recognized or the catchpenny treatises. It has its dangers, like the others; it
has its difficult moments, when, to save your anticipated profits and your
earlier losses, you have to risk a rather large amount. But, if you prudently
stop playing during runs which are too obstinately hostile, if you allow the
storm to pass as it spreads over a large number of chances, you end by
obtaining the necessary compensation. At any rate, it has never seriously
failed my friend so far.
12
Nevertheless it must not be
supposed that we have only to use this system blindly and automatically. As
with other systems, a certain science, a certain experience, a certain deftness
are indispensable. Though science and experience are evasive qualities here,
fugitive and at the mercy of Chance, they are by no means illusory. The careful
and experienced player understands how to approach and nurse his luck, or at
least how not to thwart it. He guesses the beginning and the end of a
favourable series. He foresees alternations and intermittences; and, when he
does not succeed in grasping their rhythm, he prefers to abstain from playing,
rather than encounter them inopportunely. He makes more than one mistake, but
makes far fewer than those who, faithful to the very scientific theory of the
absolute independence of each coup, back either colour at any moment. He does
not surrender to the fixed rigidity of logic, he does not throw the gauntlet
down to fate, he does not defy the animosity of fortune. He is never obstinate.
He does not struggle on, sullenly, to his last coin, against an iniquitous run,
in order to gain the bitter satisfaction of learning the utmost depths of his
ill luck and the injustice of fate. He has no self-conceit, no prejudices, no
inflexible opinions. He is docile, plastic and accommodating. Devoid of all false
shame, he cheerfully abandons his pretensions and pays court to fortune. He
retraces his steps and retracts at fitting times. He stops, starts afresh,
yields, tacks about, allows himself to be borne upon the tide and comes safely
to harbour, while the arrogant, overbold and headstrong pilot founders in deep
water.
Beyond all else, he studies
the character and temper of the table at which he takes his seat, for each
table has its psychology, its habits, its history, which vary from day to day
and yet by the end of the year form a homogeneous whole wherein all temporary
errors, all anomalies and injustices are compensated. The question is to know
on what page of this history he should prepare to play his part. He will not
learn this at once. It is of little use for him to peep at the notes and permanences of the players who have come
before him. What he wants is the immediate contact, the very breath of the
hidden god. But the god is already thrilling into life, taking shape and
countenance, giving a whispered hint of his intentions, speaking words of
approval or condemnation; and the tragic struggle begins between the player, so
infinitely small, and Chance, so enormous and omnipotent.
13
Now that the battle is
joined, now that the player has done what he could to summon and welcome luck,
there is nothing left for him to do but wait; for luck, when all is said, will
remain the supreme power that pronounces the final verdict, the formidable and
inevitable unknown factor in every combination. The best of systems cannot
overcome an abnormal and pitiless run of bad luck which makes you stake
incessantly on the losing colour. A run like this, without favourable
intermittences, is extremely rare but always possible. It corresponds, for that
matter, with the extraordinary strokes of good luck, which seem more
frequent only because they attract more attention. From time to time we see a
man, or rather let me say a woman -- for it is nearly always female players who have these inspirations -- walk up to the table and with a high
hand and not the least hesitation gamble en
plein or era cheval, on a transversale or carré, and win
time after time, as though she saw beforehand where the ball would fall. These
moments of intuition are always very brief; and, if the player insists or grows
stubborn, she will soon lose whatever she has won. It is none the less true
that, when we observe this very obvious and striking phenomenon, we wonder
whether there is not something more in it than mere coincidence. When all is
said, can luck be anything other than a passing and dazzling intuition of what
will flash into actuality before everybody's eyes a second later? Is not the
compartment which does not yet contain the little ball, but which in an instant
will snap it up and hold it, is not this compartment already, somewhere, a
thing of the present and even of the past? But these are questions which would
lead us too far afield in space and time.
14
Be this as it may, to return
to the system of which we were speaking, even if I were at liberty to divulge
its secret I should not do so. I am not a very austere moralist and I look upon
gambling as one of those profoundly human evils which we shall never be able to
uproot and which, for all our efforts, will always reappear in a new form. Still,
the least that we can do is not to encourage it. The gambler, I mean the
inveterate, almost professional gambler, is not interesting. To begin with, he
is an idler and nearly always a part of the world's flotsam, with no
justification for his existence. If he be rich, he is making the most foolish,
the most dismal use of his money that can be imagined. If he be poor, he is
even less easily to be forgiven: he should know better than to sacrifice his
days and too often the welfare and the peace of mind of those dependent on him
to a will-o'-the-wisp. Underlying the gambler we find too often a sluggard, an
incompetent, a boneless egoist, greedy of vulgar and unmerited pleasures, a
dissatisfied and inefficient individual. Gambling is the stay-at-home, imaginary,
squalid, mechanical, anaemic and unlovely adventure of those who have never
been able to encounter or create the real, necessary and salutary adventures of
life. It is the feverish and unhealthy activity of the wastrel. It is the
purposeless and desperate effort of the debilitated, who no longer possess or
never possessed the courage and patience to make the honest, persevering
effort, the unspasmodic, unapplauded effort which every human life demands.
There is also a great deal
of puerile vanity about the gambler. Taken for all in all, he is a child still
seeking his place in the universe. He has not yet realized his position. He
thinks himself peerless in the face of destiny. In his self-infatuation he
expects the unknown or the unknowable to do for him what it does not do for any
one whomsoever. And he expects this for no reason, simply because he is himself
and because others have not that privilege. He must tempt fate incessantly,
hurriedly, anxiously, in I know not what idle and pretentious hope of learning
to know himself from without. Whatever fortune's decision may be, he will find
cause for preening himself. If he have no luck, he will feel flattered because
he is specially persecuted by fortune; if he be lucky, he will think all the
more highly of himself because of the exceptional gifts which she bestows upon
him. For the rest, he does not need to believe that he deserves these gifts; on
the contrary, the less right he has to them, the prouder he will be of them;
and the unjust and manifestly undeserved chance which makes them his will form
the best part of the vainglorious satisfaction which he will contrive to
extract from them.
15
It would be extremely surprising, I said when I
began, if this indefatigable and exhaustive enquiry into Chance, pursued for over fifty years, had failed
to yield some sort of result. I am wondering, at the end of this investigation,
what that result is. At the cost of an insane waste of money, time, physical,
nervous and moral energy and spiritual forces perhaps more precious still, it
has taught us that Chance is in short Chance, that is to say, an aggregate of
effects whereof we do not know the causes. But we knew as much as this before;
and our new discovery is a little derisory. We have seen the shadowy appearance
of certain laws or habits from which a few players appear to derive advantage,
though this advantage is always precarious. But these apparent laws, which tend
obscurely and uncertainly to instil a little order into Chance, are, like
Chance itself, but inconsistent and ephemeral summaries of results from unknown
causes. Upon the whole we have learnt nothing, unless perhaps it be that we
were wrong to attach greater importance to those manifestations of destiny than
they possess. If we look at them more closely, we find that there is nothing
more behind all these catastrophes and all these mysteries of luck than the
catastrophe and the mysteries which we put there. We link our fate to the fate
of a little ball which is not responsible for it; and, because we entrust it
for a moment with our fortune, we fondly imagine that mysterious moral powers
are bent on directing and ending its course at the right or wrong moment. It
knows nothing of all this; and, though the lives of thousands of men depended
on its fall to the right or the left of the point at which it stops, it would
not care. It has laws of its own, which it must obey and which are so complex
that we do not even try to explain them. It is just a little ball, honestly
seeking the little red or black hole in which to go to sleep and having nothing
very much to tell us of the secrets of a luck or destiny which exist only
within ourselves.