Is There Magic in the Numbers in Lotto Games? Some Observations
By John Anderson
Lottery games
have been around for centuries. A variant of Bingo was invented in the
late 1800s, but the Romans played the numbers long before that. The biggest
difference between then and now is the cost to play the game and the size
of the payoff for winning. Even the staunchest anti-gambling advocate has
to admit to being intrigued by the prizes. By risking a dollar a person
might win many millions. Unfortunately, as we all know, not everyone is
willing to stop at a dollar. Horror stories, and hopefully mostly just
stories, abound about welfare families spending their entire income buying
tickets.
Who have been
the winners? Was it ever anyone who spent a hundred dollars or more on
tickets to cut down the odds? I haven't heard of one, but I do know that
a woman won forty million dollars when a clerk refused to change a five
dollar bill for her so she could have bus fare. Determined to get her change,
she bought a PowerBall ticket. (I hope she went back later and planted
a big kiss on top of the curmudgeon's head.) Did any of the winners read
a book telling them how to pick the numbers? How many used their own or
their spouses' birthdate or the two combined? Or did they use their telephone
number, or numbers on a fortune cookie? As far as I know, all but one of
the winners let the lottery computer pick the numbers for them. The one
great exception was famous. A man in Chicago faithfully bought the same
number for the Illinois lottery at the same grocery store for years. One
day the number came up. And guess what? He couldn't find his ticket! After
learning about his history and considering the fact that no one else claimed
the prize, the lottery commission magnaminously awarded the prize to him.
It would be the first and last time it would ever happen. Now, you must
present the winning ticket to claim your winnings.
The point is,
the odds against you are incredible. Imagine, if you will, a hundred yard
long sandy beach with exactly one pebble that is different from all the
rest. Even if it looks different, what do you think your chances are of
finding it?
So who cares,
you say. I'll play anyway.
Let's say you
like to pick numbers. Which of the two listed below would you say is LESS
likely to come up: 1, 2, 3, 4, 5, and 6 or 22, 34, 39, 40, 46, 48 and 55.
Niney-nine out of a hundred people would say 1, 2, 3, etc. is less likely
because they are the first six numbers in our counting system and we imagine
a connection between them. This imagined connection likely will translate
into a bias against playing them. But the truth of the matter is, neither
is more or less likely to occur than the other. The question is whether
there is a practical aspect to this bias. Amazingly enough, there is. But
it probably will take a very long time to show up. maybe even several billions
of years. Sooner or later, over a infinitely long time span 1, 2, 3, etc.
will wind up in the machine's trough. If the bias has continued, no one
will have chosen the right numbers. (Never mind that the computer might
have selected them for someone.) In fine, over a long enough time span,
even the tiniest bias can make an important difference.
For the people
who have bought books about picking winning numbers, how many authors claim
they have a foolproof way of choosing the numbers? Obviously they don't,
or hundreds of people would win every week. What they do say is that they
can increase your odds of picking the right numbers. My question is, how
do they know this is the case? Are the five non-winning numbers the book
helped you find more likely to have been the winners than the millions
of other combinations that didn't win either? If so, what is the process
that determines these probablilities and how can it be demonstrated?
In conclusion,
let's return to the possible practical importance of even the tiniest biases.
I have done studies of winning numbers for the PowerBall contest for the
last ten years. (I'll let you research this for yourself.) Rather than
evenly spread numbers across the complete range, certain ones have appeared
significantly more often than others. Mathematicians who study probability
theory say that this is a good proof of true randomness. Be that as it
may, the question becomes: If a person played these numbers exclusively,
would he/she be more likely to win? Probably not. Past performance cannot
predict future occurrences. But even so, is there even a slightly greater
probability that these numbers COULD actually come up more often in the
future than some others?
Possibly. The
reason may lie in the mechanics of the way the numbers are chosen. The
machine and the pingpong balls that bounce about before they blow out of
the chute could contribute their own tiny bias. What if some of these balls
were infinitesimally lighter or heavier than the rest? Or is it possible
that the laws of randomness select certain numbers more often than others?
We can never know. But even an infinitely tiny boost in your ability to
predict one or two of the six numbers would cut down the odds against you
by several millions. Is that tiny boost worth putting money on the line?
That's entirely up to you. In a nutshell, a little research may actually
reduce the multi-million odds against you by a tiniest bit. Who knows.
It may be enough to help you pick a winner.
Copyright 2005
by John Anderson
John Anderson
has been selling stamps and collectibles for more than thirty years. He
is now semi-retired and writing his second novel. His first, The Cellini
Masterpiece, was written under the pen-name of Raymond John and published
by iUniverse. If you have a question for John, or would like to contact
him, he can be reached at http://www.cmasterpiece.com
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