Jacob Bernoulli, a noted Swiss mathematician, died in 1705, eight years
before his essay on the theory of probability was published . This treatise called the Ars Conjectandi is more commonly known as
The Law of Large Numbers. Today, this Law of Large Numbers is still of the highest usefulness in it's theories of probabilities and it's
applications to insurance, statistics and the mathematical study of heredity. It is also the scientific basis for Lottery America's Calculated Results Tables.
Bernoulli went to great lengths to
mathematically prove his theory of probability. His calculations fill a book. However, at the time, the world did not understand
what Bernoulli had accomplished. It took Leonard Euler, known as "the most prolific mathematician in history", to understand
Bernoulli's theory of probability well enough that he could explain it to the world. Of course, around the same time not many people understood
Newton's Law of Gravity either. Now we teach it in third grade! This law is now a part of our math
books. It reads as follows:
"In any chance event,
when the event happens repeatedly,
the statistics will tend to prove
the probabilities."
Most people,
when they hear the terms probabilities and statistics want to head for
the nearest bar and forget they ever heard those words! It's not that bad.
Probabilities are simply calculated results. Statistics are nothing more
than actual results. Inserting the definitions, we have:
"In any chance event,
when the event happens repeatedly,
the actual results will tend to be
the calculated results."
Lottery
America Calculated Results Tables show, among other things, the calculated results in one column
and the actual results in another column for each of the different types
of number combinations. Once you see the comparison, you will understand
why we say lotteries are classic examples of the Law of Large Numbers.
It has
been written that the theory of probability is nothing more than good
common sense reduced to mathematics. It's also been written, that many
people play smart with an instinct, usually without being able to account
for it. You will not need to know any math. As a matter of fact, as long
as you know that 10 is bigger than 5, you qualify. It is not necessary
for you to know math because, with the Calculated Results Tables, all the math is done
for you. When it comes to the principles involved, you will simply learn
how to use your own good common sense. You'll be able to play smart, and,
now, you'll even be able to account for it.
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