Wheeling Lotto Numbers, Playing Lotto Wheels, Make Your Own Lottery Systems
By Ion Saliu, Founder of Lotto Wheeling Mathematics
I. Introductory Notes to Lotto Wheels: Mathematical Foundation of Lottery Wheeling
- Wheeling lotto numbers or playing lotto wheels (abbreviated systems or reduced lottery systems) is the main tool of the so-called expert lottery players. The concept has been around for over two hundred years. The mathematicians were the first ones to study that matter long before lottery became available (especially from a legal standpoint). I will show you the easiest way — and the most sound mathematically — method of creating lotto wheels manually.
Let’s take the two most basic sets and wheel their elements: 9 numbers, and 12 numbers, respectively. I sold (very cheaply!) this wheeling method and also a good set of lotto wheels in 1986-1987. I discontinued the offer because I was able to buy an IBM-compatible PC and started to write serious lottery software, including for lotto wheeling. I did a Samaritan thing. I had a number of copies of my cheap lotto-wheel brochure left. I gave it away at a gas station in Gettysburg, Pennsylvania. The station was also a licensed lottery agent (I played there sometimes, when I fueled my car). I returned to the same station in a couple of weeks. The lottery agent asked me if I had more copies of my lotto wheels brochure. She said: “It went like hot cakes! Got more copies?” NOT! Unfortunately, I didn’t even save one copy for myself. The lotto wheel leaflet was typed. I didn’t have a personal computer at that time (only very few individuals had; by far, most of them were living in the United States).
You might be able to find someone who bought my 16-page lotto wheel brochure. I charged between $3 and $5 for the useful package. I was told (hush-hush!) that my material is a collectible now. If you are really interested, just google for a while… Also, you might have heard of one Robert Serotic. He too was an immigrant to the United States. He published books on the topic of lotto wheels. Robert Serotic published also a lotto wheeling newsletter. A user of my lottery software surprised me when he sent me Serotic’s newsletter. Robert Serotic had published — without permission — the lotto wheeling method presented in my brochure. Granted, he gave me credit as the author. Problem was, he printed my method secretly, without asking for my permission (forget about pay!) Better Business Bureau of California took notice of the incident!
Having said that, the initial lotto wheels of mine created in the 1980s are bundled with MDIEditor And Lotto WE . A more comprehensive group is offered as freeware and covers also 5-number and 7-number lotto wheels. Not to mention that my lottery freeware also includes wheels for Powerball, Mega Millions, and Euromillions. Follow the links in the Resources section.
- Incidentally, my combinatorial method of creating lotto wheels generated quite a few offsprings. One is a legitimate YouTube video. The author asked me for permission to use my method you will read on this very Web page. The publisher also gives me credit at the end of his creation and offers links to my site: How to Create a Lottery Wheel Manually
- As usually, however, my lottery wheeling method has been pirated in several places, including YouTube. Another YouTube video even pirates the legitimate video above (but in Australian accent, perhaps the same guy who pirated one of my roulette systems!)
9-number lotto wheel for lottery games drawing 6 numbers
The lottery commission draws 6 winning numbers. The drawing is random, therefore the 6 winning numbers will have a random spread among the 3 3-number groups. There are 3 distribution possibilities:
0-3-3 = 6 winners of 6 = 33%
1-2-3 = 5 winners of 6 = 33%
2-2-2 = 4 winners of 6 = 33%
Since all the groups are paired with one another, our 3-combination lotto wheel cannot have fewer than 4 winning numbers. They say, the lotto wheel assures a minimum guarantee: 4 of 6. That is, if the 6 winning numbers are among the 9 we selected, the wheel guarantees that at least one combination will contain at least 4 of the winning numbers. In 33% of the winning distribution possibilities, the 9-number lotto wheel hits the jackpot (6 winners of 6)!
Moreover, this lotto-6 wheel for 9 numbers also guarantees at least 4 out of 5. There are no worse distributions of the 5 winning numbers than 1-2-2 or 1-1-3. Here are the possible distributions among the 3 groups:
0-2-3 = 5 winners of 6 = 33%
1-1-3 = 4 winners of 6 = 33%
1-2-2 = 4 winners of 6 = 33%
12-number lotto wheel for lottery games drawing 6 numbers
We can divide the dozen in 4 groups of 3 numbers each: A, B, C, D. Group A = 1,2,3; group B = 4,5,6; group C = 7,8,9; group D = 10,11,12. We can combine the 4 groups 2 at a time in a total of C (4, 2) = 6 combinations of 6 numbers: AB, AC, AD, BC, BD, CD. Converting the groups to their initial compositions results in a magnificent creation:
The lottery commission draws 6 winning numbers. The drawing is random therefore the 6 winning numbers will have a random spread among the 4 3-number groups. There are 5 distribution possibilities:
0-0-3-3 = 6 winners of 6 = 20%
0-1-2-3 = 5 winners of 6 = 20%
0-2-2-2 = 4 winners of 6 = 20%
1-1-2-2 = 4 winners of 6 = 20%
1-1-1-3 = 4 winners of 6 = 20%
Since all the groups are paired with each other, our 12-combination lotto wheel can’t have fewer than 4 winning numbers. Thusly, the lotto wheel assures a so-called ‘minimum guarantee’: 4 winners out of 6. That is, if the 6 winning numbers are among the 12 we selected, the wheel guarantees that at least one combination will contain at least 4 of the winning numbers. In 20% of the winning distribution possibilities, the 12-number lotto wheel hits the jackpot (6 winners of 6)!
Those two reduced lottery systems are the only lotto wheels totally based on solid mathematics. The two systems offer tremendous leverage. Personally, I will never play any other lotto wheel. Actually, I settled on the 12-number wheel only. The 12-6 lotto wheel provides very efficient leverage. This extraordinary phenomenon in lotto wheeling is known as the Parpaluck effect.
The special advantage only occurs in lotto games that draw an even amount of winning numbers: Lotto-4, lotto-6, lotto-8 (if ever implemented, etc.) For example, lotto-4 games draw 4 winning numbers. The optimal wheel has 8 numbers (the double of the winning numbers). Divide the 8 numbers in groups of 2; a total of 4 groups results; wheel the 4 groups two at a time; the final result is a 6-line lotto wheel, with 4 numbers per combo. The distribution of the winning numbers in the 4 groups can be: 0-0-2-2 (first prize); 1-1-1-1 (the worst distribution = third prize); etc.
These are the optimal cases of wheeling lotto numbers. No, the lotto wheels cannot be created… equal! Take the 12-number situation. We can group the numbers 2 at a time, for a total of 6 groups of 2 numbers each. We combine the 6 groups 3 at a time, for a total of C(6, 3) = 20 combinations, 6 lotto numbers at a time. The distribution of the 6 winners gets worse, like in this case:
1-1-1-1-1-1 = 3 winners of 6!
Now, we constructed a larger lotto wheel — 20 6-number combinations — but it only guarantees 3 winners out of 6! Pay more to get less! This negative phenomenon in lotto wheeling is known as the Kokostirk effect.
We all know of another popular lotto format: Drawing 5 winning numbers. How about them 5-number lotto wheels? Short answer: No, we can’t construct the same high level of efficiency as in the case of 12 number lotto wheels drawing 6 winning numbers. But we can come acceptably close. Again, we must put the numbers together, in groups. I built a 5-number wheel on the same mathematical principles.
The double of the 5 winning lotto numbers is 10. Therefore, the optimal number pool must have 10 elements. Drawback: We can’t arrange the numbers in equal-size groups (because 5 is a prime number). So, my best method was to create two groups of 3 numbers each, and two groups of 2 numbers each. Group A=1,2,3; group B=4,5; group C=6,7,8; group D=9,10. We can combine the 4 groups 2 at a time in a total of C (4, 2) = 6 combinations of 5 numbers: AB, AC, AD, BC, BD, CD. We deleted one number from the 6-number resulting combination; also, we added one number to the resulting 4-number combonation (a favorite term of mine). Converting the groups to their initial compositions, we get:
The random distribution of the 5 winning numbers in a lotto-5 draw is more complicated than in a lotto-6 game. We can’t group the numbers equally. Thus, the 3-number group can have 3, or 2, or 1 of the winners in a drawing.
0-0-2-3 = 5 winners of 5 = 14+%
0-1-2-2 = 4 winners of 5 = 14+%
0-1-2-2 = 4 winners of 5 = 14+%
0-1-2-2 = 4 winners of 5 = 14+%
1-1-1-2 = 3 winners of 5 = 14+%
1-1-1-2 = 3 winners of 5 = 14+%
1-1-1-2 = 3 winners of 5 = 14+%
I believe this 5-number lotto wheel has good leverage too. For starters, it assures the 3 of 5 minimum guarantee alright. In fact, the 3 of 5 prize is offered in 43% of the favorable cases (when our 10 picks contain the 5 lotto winners in a drawing). In 43% of the favorable cases, this lotto wheel assures at least one 4 of 5 winners. Not to be neglected, this lotto wheel assures ‘5 of 5’ winners with a 14% degree of certainty.
II. Tools of Lotto Wheeling: Mathematics, Theory, Software
Knowledgeable players will not play combinations such as 1,2,3,4,5,6. I detailed in another message how wasteful such play really is. The players will usually select their own numbers, also known as picks. For example: 7,13,24,8,33,35,42,28,19,37,40,49. The next important step is wheeling the picks. That is, the player needs to replace the theoretical numbers 1,2,3,4,…, 12 by the picks 7,13,24,8,…,49. The process can be done manually, but it is tedious and error prone. The players use software to wheel their lotto numbers. Software wheeling cost money, up until I released freeware to wheel lotto numbers.
Previous software wheelers were also limited in scope. They could only wheel their own abbreviated lotto systems. Generally, they were unable to wheel third-party wheels or Powerball systems. My lottery wheeler software is the most comprehensive to date. It can wheel any kind of wheel, for up to 100 numbers per combination. It can also wheel Powerball, Mega Millions and Euromillions lotto wheels or abbreviated lottery systems.
Enter the scene:
• FillWheel – August 2002 – Freeware.
• LottoWheeler – September 2006 – The best – Free 32-bit lotto wheeling software.
That’s the easiest way to convert the theoretical lotto wheels or systems (1,2,3,4,5,6 etc.) to combinations of real picks (29,13,33,2,44,39 etc.)
- Lotto Wheeler is your best choice, regardless of price. The lotto-wheeling software covers the Powerball, Mega Millions, CA SuperLotto, and Euromillions lottery games as well. That is, if you have lotto wheels for those games. Hint: You can find some at this Web site! Please check the Resources section of this page.
A few more wheels from yours truly. They were created by my lotto software WheelCheck6 (also available for 5-number lottos: WheelCheck5 ):
* 10 numbers, 100% 4 of 6, 3 combinations (exactly the lotto odds)
1 2 3 4 5 6
1 3 4 8 9 10
2 5 6 7 9 10
* 11 numbers, 100% 4 of 6, 5 combinations (20% over the lotto odds)
1 2 3 4 5 6
1 2 8 9 10 11
1 3 5 8 10 11
2 3 5 7 9 10
4 6 7 8 9 11
Nobody had been able to construct such lotto wheels before my software. The two wheels, however, mushroomed all over the Internet, a few months after I published them!
Be aware, however, that the lotto wheels can do more harm than good. Read my article “The myth of lotto wheels or abbreviated lotto systems” (follow the Resources section). The player must use a good strategy of picking lotto numbers, before using lotto wheels. Please read the main lotto lottery strategy page at this site.
My own software, LotWon, SuperPower and MDIEditor and Lotto WE, comes with a number of lotto wheels or systems. Please keep in mind that those systems were not optimized according to my own set theory. The wheels contain more combinations than the respective lotto odds. Such systems aimed at hitting better prizes. They are meant to be used in conjunction with the lottery strategies I have presented at this website.
The 6-40 lotto game back then (1986) required to play at least two tickets for $1. We played a total of 36 combinations, for $6 each. I had won twice before with one of my lotto colleagues (4 of 6). That time, I applied my 9-number lotto system. The three of us in the lotto group also won once another 4 of 6 third prize. That prize usually paid over $100 per winning ticket.
We played 12-number lotto wheels. I used two wheels for the same 12-number group. The first lotto wheel used the group in lexicographic order, from 1 to 12, in 6 combinations. Then, I shuffled the 12-number set and applied the wheel to it. I always used the same shuffled set to save time. In total, we played 3 groups of 12 numbers each.
The program I wrote generated 12-number combinations randomly. The numbers were not sorted: RAM, speed, and retyping were the main reasons. I wrote the last 20 lotto drawings at the beginning of the program, in the READ/DATA section. I hadn’t seen any 4-number group repeating from the last 20 drawings. Of course, the average no-repeat is much longer than 20 draws. Trying to eliminate all 4-number groups in 12-number combinations would be a daunting task (virtually, mission impossible, given the home-computing technology at that time). So, I had to be selective. I eliminated 1-2-3-4 and 9-10-11-12 for sure; then, a few more groups in between, like 4-5-6-7, 8-9-10-11.
The computer (Atari 800XL) had a real hard time! I let it run until I saw at least 10 combinations on screen (no disk to save the output!) I wrote down the last three 12-number combos (2 lines each on screen). Then, wheel each 12-number lotto combination twice (manually). It was laborious (you can try it for yourself) and it took some time. Then, fill out the play slips. There were some errors every time, especially filling out the lotto play-cards.
Founded on valuable mathematical discoveries with a wide range of applications, including mathematics of lotto wheels, and manual creation of lottery wheels.
“The wheel in the sky keeps on turnin’ I don’t know where I’ll be tomorrow Wheel in the sky keeps on turnin’.” Journey, “Wheel in the Sky”
Resources in Lotto Software, Lottery Software, Lotto Wheeling
See the applications in new and old lottery strategies of the lotto wheels and lotto wheeling techniques presented here:
- Lotto Strategy, Software: 12-Numbers Combinations in 6-Number Lotto Games.
There is also software that applies this lottery strategy to pick-5 lotto:
- Lotto Software, Wheels, 10-Number Combinations in Lotto 5 Games.
Presenting software to create free winning lotto, lottery strategies, systems based on mathematics. Get your lotto systems or wheels, the best lottery, lotto software, combinations, winning numbers.
The most advanced theory of lotto wheels or reduced lottery systems. Get also original lotto wheels for lotto games drawing 5, 6, or 7 numbers: Balanced, randomized, and free.
Statistical analysis of real lottery data proves the negative effect of playing static (unbalanced or split) lotto wheels.
FreeLottery Wheeling Software for Players of Lotto Wheels.
Fill out lotto wheels with player’s picks (numbers to play); presenting FillWheel, LottoWheeler lottery wheeling software.
Wheel-632, Wheel-532 , the best on-the-fly wheeling software; applies real lottery filtering.
Superseded by the most powerful integrated packages Pick532, Pick532 (now demoted!) and, especially, the Bright / Ultimate software packages.
How to Use a Pick-6 Lottery Wheel
by Gail Howard
It is really amazing that such strong lottery systems can be so simple and easy to use. There is no faster, easier, yet effective way to get the benefits of odds improvement in lotto. My Balanced Wheeling Systems are as easy to use as A-B-C! So simple, any lotto player can do it.
TO WHEEL: All you do is exchange each of your lotto numbers for one of the System Letters.
Once you learn how to make one lotto wheel, you will know how to use all of them. They all work the same easy way. To show you how to wheel, I will use Balanced Wheel #65108 for wheeling eight lotto numbers. Before using this system, first pick eight different lotto numbers. You cannot use the same number more than once in any wheel.
Look closely at the chart. You will see room for eight lotto numbers in the eight boxes below the letters A through H. After you have chosen the eight lotto numbers you want to wheel, write them in the boxes under the letters A through H, below “Your 8 Numbers to Wheel.”
Under “The 4 Games to Play,” notice there is a tiny letter in the upper left hand corner of each box. Write the number you have placed under the letter ‘A’ in each box in the system where you see a little A. Next, write the number you have placed in box B in all the boxes that have little B’s in them. Continue with the rest of the numbers until you have filled in every box in the system. The letters tell which of your chosen numbers should be placed in which lettered box to make the right combinations.
When you have finished, your eight number picks will be perfectly wheeled into the four correct combinations ready to be transferred to your bet slips so you can buy your tickets. That is all there is to it.
Let’s try one free pick-6 lotto wheeling sample system before you go off on your own. The eight numbers I have chosen for this example are: 3, 8, 14, 15, 21, 28, 34, 39. This group includes a good mix of high and low numbers and odd and even numbers. Having chosen your eight lotto numbers, you can place them in any order, or from low to high under the eight letters, A-B-C-D-E-F-G-H in the boxes below “Your 8 Numbers to Wheel,” as I have done with the numbers chosen for this example. Those letters tell you which of your chosen lotto numbers should be placed in which lettered box to make the right combinations.
In our example, we have designated lotto number 3 as A. So, if you were using the lotto numbers in this example, you would place a 3 in each box that has a little A in it. Then do the same with the lotto number you have placed under the letter B, filling in all the little B boxes with that number, which in this example is 8. In this example, you would place the lotto number 14 in all the boxes with a little C in them. Continue with the rest of the numbers until you have filled in every box in the system. When you have finished, your eight number picks will be perfectly wheeled into the four correct combinations—ready to be transferred to your bet slips so you can buy your lotto tickets. That is all there is to it. I told you it was easy!
For the minimum win guarantee to be valid, you must play every game in the system. And be careful not to make any mistakes when filling in your bet slips. One mistake could cost you your win guarantee.How to Use a Pick-6 Lottery Wheel by Gail Howard It is really amazing that such strong lottery systems can be so simple and easy to use. There is no faster, easier, yet effective way to get the ]]>