History of drawing lottery combination 1-2-3-4-5-6: Never Drawn

Posted by BigJer on October 19, 2000.

In Reply to: Lotto combination probable but not likely posted by Jim Schutte on October 18, 2000.

Hi Jim

There have been lotto drawings going on in the USA since 1980 or so and there has never been a set of winning numbers with your lotto combination 1,2,3,4,5,6 and even if there where a set like that you wouldn't win much as there are many many people who play patterns on thier lotto play slips a that is one of the geometric patterns they play
BigJer

: I am not a maths expert but I argued with my brother on a gut feeling that in a lotto 6 draw it is extremly unlikley that 1,2,3,4,5,6 will be drawn. He maintains that it is a random series of numbers which are as likely to be drawn as any other set. I think that you agree with me when you say that such numbers are extremely rare and will be left out of selections along with strings of odd or even numbers etc.
: Can you explain in laymans terms why this is so?

: Can you do a page on your site on the basics of probability. You mention guassian curves and the law of big numbers. What are these? without being to technical of course.

: Great site

: Regards

: Jim

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Comments:
: : Lottery Combination 1,2,3,4,5,6: Equal Probability Low Appearance. I am not a maths expert but I argued with my brother on a gut feeling that in a lotto 6 draw it is extremly unlikley that 1,2,3,4,5,6 will be drawn. He maintains that it is a random series of numbers which are as likely to be drawn as any other set. I think that you agree with me when you say that such lotto numbers are extremely rare and will be left out of selections along with strings of odd or even numbers etc. Can you do a page on your site on the basics of probability. You mention guassian curves and the law of big numbers. : It would take a lot more than a Web page to tackle theory of probability in lotto and lottery. Online probability tutoring would require a full-time job, and then some. At this time, I can only offer so much on my website. But what I offer is undeniable mathematically. I don't try to fool anybody simply because I don't fool myself. Normally, there are some who do not agree with my ideas. I am not saying that I am beyond error. I am saying, however, that those who argue over my theories do so based on their personal feelings, not on cold facts. I visualize Truth as a meteor wondering in the cold outer space. Regardless if humans like it or not, the meteor can still collide with the Earth. : Your observation on the "1-2-3-4-5-6" type of lotto combinations is also on many people's minds. Indeed, every lotto combination has the same individual probability: p = 1/N. There are 13983816 lotto 6/49 combinations, therefore any combination, including 1-2-3-4-5-6, has a 1 in 13983816 chance to hit. That's one step of the theory, the first one. There are a lot more steps. We can look at simpler lottery games, where the total of possible combinations is much lower, therefore easier to analyze. For example, the pick-3 game has only 1000 outcomes, from 000 to 999. The individual probability is 1/1000. One should expect one particular combination to appear every 1000 drawings. Further, since p is constant, all pick-3 combinations should appear equally (in multiples of 1000 drawings). Thus, 2000 drawings, every lottery combination should have come out 2 times, etc. There are lotto combinations that come out 10 times in 5000 lottery drawings, while other combinations do not appear at all. Briefly, there is more to lottery than just the individual probability. Look at many lotto drawings, thousands if possible. You can easily calculate the average of a lotto game. A lotto 49 game has an average of 1+49=50/2=25. You can use Gauss's formula and notice something. The sum-totals of most drawings fall within the Gauss (bell) curve. It's hard to find a 1-2-3-4-5-6 combination anywhere, or a 44-45-46-47-48-49 combination. There is a much more complex explanation for the absence of such combinations. It can use Markov's decision-making theory (Markov chains). The easiest path in a Markov chain is totally random. A combination like 1-2-3-4-5-6 would require additional steps, which dramatically decrease the probability. Simply put it, the process will follow such steps as: "The 1st number is 1; is the 2nd number = 1st number + 1? If not, repeat the step; and so one until 2nd number = 1st number + 1; etc with all 6 numbers". Title: The history of drawing lottery combination 1 2 3 4 5 6: Never Happened. There have been lotto drawings going on in the USA since 1970's or so and there has never been a set of winning numbers like lotto combination 1-2-3-4-5-6.