Points of View
Discussions continue among lottery players about the usefulness
of any methods or 'tools' for selecting numbers. At times they border on
controversy, often dividing players into two camps:
- Players who see the games as essentially random processes, in which forecasting is
meaningless.
- Players who see certain kinds of patterns developing more often than other kinds,
and use them.
It is not possible to explore both views in depth, within the space of this outline.
Further, each side has eloquent spokespersons who can present the views much
more thoroughly.
Perhaps the most important challenge to either point of view is to listen fairly and
attempt to understand the other. Simple dismissal of either view without dialog
would be unfortunate if it causes players to play without an adequate understanding
of the game. It would be unfortunate for the first group to ignore the other
as 'misguided' in seeing patterns; unfortunate also for the second to ignore the
first as 'remote' and above what they believe is really happening.
Responsibilities and Stereotypes . . .
Perhaps the most overriding questions are:
At the individual level, should any player care about the views of any other
player? After all, it's only a highly personalized 'game'.
It's for individual players -- not a team sport.
Does either group of players have any responsibiltity toward the other group
for sharing information and dialog?
Yet, if questions are not raised and if dialog is not joined, neither group
nor any individual player will in the long run play with insight.
One might suggest that enjoyment of the game is not
related to knowledge about it; however, without any continuing
curiosity about the game, future developments in the fields of analysis, wheeling,
filtering and other methods could become stifled.
It is hard to see how any player could benefit from a reduced awareness
of how the game works; indeed, the vacuum created by that reduction might
draw in the "paranormal systems" purveyors to the detriment of the
players, if not even to the public games themselves.
Unfortunate also would be the possibility that, without dialog, stereotyped images
of other players will evolve, hindering further exploration.
For example, the first group should not be seen (by the second) to consist
mostly of "ivory-tower academics" who have "given up"
on the game. The second group should not appear (to the first) as
"statistical slaves" who pore over reams and reams of histories in
search of "techniques" that can never be found.
No player owns the full picture -- of the game, or of how other players play.
Talking It Over . . .
Both groups have a contribution to make.
What kind of contribution?
There is probably room for further insight into 'patterns within randomness':
how they occur, their practical limits and effects upon -- or detraction from
-- the random process. The book is certainly not yet closed to research into
this topic, nor should minds be. A deeper look may be especially useful to one
who has not recently explored such processes, especially in lottery games.
What better way than in a dialog with people who work the game on
a day to day basis?
There is a need also for players to understand as much as possible about the dynamics
of the game. They are spending their cash at playing it. Is there a better
way to learn than in a dialog with people who have devoted much of a lifetime to
education, study and consideration of the topic?
The truth may be that both points can contribute to a greater
understanding of the game. The surest way to narrow the growth of knowledge
is to avoid dialog with sincere people with differing views. "Having
heard it all before" is an attitude educated people should be wary of adopting,
no matter how tedious the prospect may seem of having to explore some part of
"it all" again. It may be that both viewpoints, contradictory to each
other as they appear at first, can and should co-exist.
"Randomness Rules . . ."
It is true that public lottery games are essentially random.
They are not manipulated or "fixed" by lottery officials.
Likewise there are no "codes" that unlock the "secrets"
of how numbers are drawn. Over time -- millions of draws -- the Law of Large
Numbers will be the big winner and the actual results of the game's history will
approach the expected performance of a random process.
That fact leads to a question often posed by the first group: If the game tends to
produce the long-term result of a random process, how can you get to that result unless
events along the way are random? Or, put into other words, the numbered balls
have no memory. The 'ink' on them (that defines the numbers) has no relevance
to the outcome of a draw in which the physical processes are random -- referring
to the dynamics of the airflow, friction, spinning, bouncing, and other effects.
An answer often made by the second group is this: Even though the overall
process is essentially random, there are some events occurring within
the process on a smaller scale, that seem to occur in a similar way, time after time.
Regardless of the physical processes that made them happen, these events are
remarkably consistent. The Law of Large Numbers is our friend, not our enemy.
We should recognize consistencies, and not ignore them.
The balls do not have memory, but we see these things happening, and we do
have memory. After we have seen them happen in many draws in many different
games, why should we not expect them to continue to a similar degree?
The first group responds that this is only a reflection of the 'gambler's fallacy' --
wishful thinking. Past results have no influence on the next draw. What a
player 'sees' in the history has no effect on the upcoming motion dynamics.
The second group suggests that there are consistencies in the 'statistics' of the
processes. These seem to be natural. Why not play for them to continue,
rather than to change dramatically?
The first group maintains that the statistics are by definition a reflection of the
past, and may continue to be similar for the long term future. But they do not
influence the future, and at best are too generalized to suggest
an outcome for the next immediate series of draws.
The second group replies that, after that next immediate series
of draws has passed, we will most likely see that they did
conform to the statistical consistency. Why should we not have played them
that way?
And so it goes . . .
"You Can't Beat the Odds . . ."
Every player -- of either group, or neutral -- should recognize
that the 'odds' cannot and do not favor the player. Public games could not
survive if they paid out more than they receive. Probably most players
recognize that point.
The first group cautions players that, even if it were possible to make an inroad
into improving one's chances for a given draw, that improvement would be too small
to move the odds into the player's favor. For example, if your game's odds
are millions to one, and you improve them by half for the next draw (which you
cannot, on a practical budget), you are still facing odds of millions to one in that draw.
You will probably not have a win to show for your effort, any more than by
random play. Further, if that ever happened, the game would simply change
its rules to maintain its revenue margin. And, of course, the group maintains
that one cannot "improve" a random process, anyway.
Games have not changed their rules -- because they don't have to.
The second group accepts these points -- or parts of them -- but adds
"playing goals" into the discussion. The rationale is this:
We want to play the game, and are going to play it.
We don't expect to "tip" the odds into our
favor such that we can make a profit in steady play. However there may be
small improvements which benefit us from time to time without
causing any great negative impact on the game's revenue. For example, wheeling systems without redundant or missing sets of numbers tend to distribute prizes more evenly over time, compared to random play, for the same cost.
Any improvement -- no matter how small -- means that our
playing cost will be that much less while we continue to play.
Our play can never be any worse than random play, and our cost can never be
any higher than random play. So, at the least, we can work at making it better.
If we have to wait for 'luck', then why not conserve our cost while waiting?
"Jumping to Conclusions . . ."
The first group notes that public lottery games have completed
only a few hundred or a few thousand draws. The combinations drawn so far are
only a tiny fraction of the millions that are possible. The sample size is simply
too small for players to make conclusions -- other than the one that randomness will
prevail.
The second group notes that, even in these few draws, some characteristics of the
numbers have emerged that appear to be uniform across all of the games.
These are continuing, and they seem to be a natural part of the game.
Why should anyone expect that the game would begin to 'veer' off in some
different direction?
"Always Avoid Generalizations . . . (Except This One)"
The first group points out -- correctly -- that the lottery game
does not pay prizes to a player who matches numbers that are 'similar' to some past event.
It pays only for exact matches with the actual winning numbers in the current
drawing. For example, some Sums occur more often than other Sums, simply because
there are more of them to draw from. Likewise some Even/Odd splits occur more than
others, for the same reason. You don't win by matching the Sum of the winning
numbers, or the same Even/Odd split. You win only by matching the individual numbers.
The second group responds that there's a difference between the 'general' attributes of
combinations, like Sums and Even/Odd splits, and the 'specific' attributes that the
individual numbers demonstrate. For example, most numbers tend to repeat as a
winner most often, when they are positioned inside some specific range of intervals.
(A number's 'interval' is defined as the amount of losing draws that
pass between two wins for that number). This does not imply that numbers win like
clockwork -- just that they win more often within a certain range of intervals than
they do outside of that range. And -- most important to this group of players --
at any time, about half of the numbers, or less than half, are inside that range
before any given drawing. So why not play from that portion of the field, instead
of playing at random from the entire field?
"Are We Having Fun Yet?"
These are just four ways in which the groups diverge; there are
others. The differences are easy to see here, and it would seem that they could
get resolved. (Spokespersons for each group, however, would probably explain
their positions more fully.) The first group is correct about not applying
'general' combination attributes to specific numbers; the second group should listen.
The second group is correct about the concentration of wins within normal
patterns; the first group should note them and their relevance to randomness.
The odds are set by the game and cannot be changed by any technique of choosing numbers. Yet the normal operation of the game produces patterns which can be seen to occur. For the same odds, the game can be played with enjoyment rather than as an incidental act, and for the same cost. Knowing the odds, enthusiasts can enjoy using those observations in their play while staying within a practical playing budget.
Unfortunately, those points can tend to get blurred in discussions.
Perhaps the two sides will listen with respect to each other's view -- and do so with a
willingness to grow further in their own understanding of the game.
Openness, tolerance, and an absence of arrogance are the virtues that may be
required for real growth in this field, as in any field -- and a great deal of patience.
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