Posted by Ion Saliu on July 29, 2000.

In Reply to: Lotto combination of 1 2 3 4 5 6 has a very low standard deviation posted by Frank on July 29, 2000.

Frank:

You made an excellent analogy:

“If you close your eyes and randomly throw stones at 49 bottles it will very seldom if ever happen that you will hit 6 bottles that are next to each other - the same is true of the lottery. All bottles has the same probability to be hit but the probability to hit one after another is very small.”

I thought of adding another element of difficulty, to make it closer to a Markov chain. That is, throw stones at bottles that are also moved, but not very quickly, and not for a very long time. The probability of “hitting” sequences such as “1,2,3,4,5,6” lottery combo would increase to levels equal to purely random sequences if the lotto balls were mixed for millions of hours before each drawing.

There are many who believe in “1,2,3,4,5,6”-like lotto sequences. They will play them religiously. They will play also other religious-like lotto combinations. I say forget about convincing them to convert to science. Let them play their way. You know how probability works - consider the standard deviation as well. Just follow its path and your chances are clearly better.

Best of luck!

Ion Saliu

I have read through the mathmatical justifications for the Lotto systems posted here and can't say I understand them completely. The thing that I really don't get is - what difference does it make what happened in past lotto drawings? Statistics theory as I learned it says that in an honest game every combination has equal probability, each time regardless of what happened before. If thats true why wouldn't a play of lottery combination 1,2,3,4,5,6 be as likely an outcome as anything generated by the lotto software programs?

Resources in Theory of Probability, Mathematics, Statistics, Combinatorics, Software.

See a comprehensive directory of the pages and materials on the subject of theory of probability, mathematics, statistics, combinatorics, plus software.

- Lotto Combination '1,2,3,4,5,6': Probability and Reality;

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- Probability of perfect shapes in nature: rivers, mountains, trees.
- Geometric or regular patterns on lotto play slips, cards, grids.
- Coin tossing hits by date: heads = 1st day, tails = 2nd day.
- Randomizing: An Art of Scientific Philosophy, Science of Philosophical Art, Philosophy of Artistic Science.
- Software and formulae to calculate lotto odds using the hypergeometric distribution probability.

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