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Article 3
Beating the
Odds: Is it possible?
If
we are to have any hope of truly “beating the odds”
over time, whether at the gaming table, Forex trading, the stock
market, or whatever, we would be well-advised to begin by a rational
analysis of just what is involved in the “game”.
As visitors to the “Fortune
Smiling” site
already know, I prefer examples taken from the
world of gambling, not because I am myself am a gambler (I am not), but
rather, because the “rules of the game” are crystal
clear. All have these factors in common:
1) any one casino game, or state lottery, has a
specific set of rules by which it is played; these rules are made
available to the player.
2) The rules are devised in such a way as to give
the casino (or the state, in the case of a lottery) a mathematical
advantage over the player. The results in general are due to pure
chance, because the games are based on randomness. Though the odds are
not necessarily always stated clearly, the player may more or less
easily calculate them himself, or find an internet site where they are
explained.
3) Though it is possible that a player can win
against all odds, most especially in the short run, the more often
he/she plays, the less likely it is that those odds will be overcome.
If, for example, the odds of winning a game at the single-zero roulette
table are 48.6%, it is not at all unusual for a player to win once,
twice, or even several times in a row. However, if that same player
plays ten thousand spins of the wheel over time, it would be very
unusual if he were to end up winning significantly more games than he
lost; in this case, his winning percentage will most probably rather
closely approach 48.6%.
4) Despite the pessimistic outlook described in
3), above, if one were to study a group of 100 gamblers, all of whom
played 10,000 spins of the wheel over time (for instance), one would
see that though most ended up at around 48.6% wins, there will be a
very small number who deviated from this expected norm, and even came
out over 50%. The dream of every professional gambler is to be one of
the few who, against all apparent odds, consistently winds up among
that elite few.
Given that probability predicts that the roulette
player will end up losing over time, it is nonetheless not to be
expected that every player will tally exactly 48.6 % wins at the end.
In other words, in a total of 10,000 spins, we would expect a player to
have 5,140 losses, and 4,860 wins. Yet in fact, if we look at the
results of 100 players, for example, we will probably find that few, if
any, of them, had exactly that many wins. True, most ended up around
there, yet some had less wins, and some more; a small number of them
varied even more, either losing, or winning “big”.
Here we come to a point that seems almost
mysterious. No one individual should be able to expect to win big at
such a game over time, though in our imaginary group of 100 gamblers,
all of whom play 10,000 spins of the wheel, maybe one or two will
indeed come out far ahead. These are the “lucky
ones”, yet how did they achieve their luck? Was it only
coincidence that a certain gambler managed to wind up as the
“odd man out”, that is, as the one who, despite the
odds against him, actually was richer at the end of the year?
Well, the mathematics of the game itself
can’t help him here, for as we have seen, the probability of
winning is only 48.6%, and no mathematical system can help you beat
these odds in the long run. Yes, I know there are hundreds of so-called
“systems” out there that promise you the
“magic formula” for winning, using a mathematical
basis, but don’t believe it! It is not possible; if it were,
practically every casino in the world would be bankrupt.
Let us consider the game itself, together with its
rules and its odds, as a rigid system of sorts, one that will give
rather predictable results over time, as long as no other factors
intervene that could tip the scales in favor of, or to the detriment
of, the individual player.
Let me repeat the last part of the previous
sentence: “as long as no other factors intervene that could
tip the scales in favor of, or to the detriment of, the individual
player.”
What could such “other
factors” be? Well, for instance, suppose the casino is
crooked (not too likely these days, since the state usually keeps a
close watch on all gaming activity), and they “rig”
a certain roulette wheel, so that certain numbers will come up when the
croupier pushes a secret button (like the scenarios you may have seen
in the movies). In such a case, the gambler obviously does not have a
48.6% chance of winning, since one of the “givens”
of the game itself – that is, the use of a perfectly balanced
wheel, one that will deliver purely random results – is being
violated.
What other ways of tipping the scales of luck
could there be? Most especially, how can a player overcome, even over
time, the odds against him? I personally know a man who did
just that, with amazing results…
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