Wheeling Systems Explained

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What are Wheeling Systems?

Wheeling systems are powerful game strategies that provide a systematic method for playing the lotto game. These lottery game strategies have a mathematical foundation. Therefore each game strategy stipulates upfront the mathematical assurances of the system. These systems allow you to play the lotto game with more than six numbers. You are able to generate from those numbers, a special set of game combinations and provides a win assurance for the game set.

In other words, they give the lotto player the ability to combine his numbers using mathematical systems, allowing the player to have more combination coverage with his numbers.

There are Two Types of Wheeling Systems

There are two main types of wheeling systems: full wheeling systems and abbreviated wheeling systems.

A full wheeling system is a method of choosing numbers that guarantees a certain prize if some or all of the numbers selected are drawn. A full wheeling system uses all the numbers chosen in every combination possible. It can be costly to use a full wheeling system because it requires buying multiple lottery tickets.

An abbreviated wheeling system is a method of choosing numbers that increases a player's chances of winning a prize without guaranteeing a certain prize if some of the numbers selected are drawn. Abbreviated wheeling systems use a subset of the numbers chosen and creates multiple combinations of those numbers, which are then played on multiple tickets.

Both types of wheeling systems are used by some lottery players to increase their chances of winning a prize. However, it's important to keep in mind that no system can guarantee a win, and lottery games are ultimately based on chance. Also, using wheeling systems will increase the cost of playing, as multiple tickets must be purchased. It's always wise to play within your means and consider your budget before deciding to use a wheeling system.

The Mathematics Behind Wheeling Systems / Covering Designs

Lottery wheeling systems have gained immense popularity among avid lottery players. These systems, rooted in mathematics, offer strategic approaches to enhance one's chances of winning. This section talks briefly about the mathematical concept of covering designs and how it correlates with wheeling systems. If you are a mathematics whiz then this is what you would need to do further research on,

Covering Designs (Technical Basis):

Covering designs play a foundational role in wheeling systems. A (v,k,t)-covering design is a set of k-element subsets, known as blocks, from a v-element set. The aim is that any t-element subset should be contained in at least one block. For instance, if you were to consider a (7,3,2) covering design, it would mean that you're looking at a collection of 3-element subsets or Pick 3 from a set of 7 numbers (your picked numbers) such that any 2 numbers from the set of 7 appear in at least one of those subsets or a 2 out of 3 assurance.

These covering designs offer an upper bound for C(v,k,t), which signifies the smallest possible number of blocks in such a design. The scope for coverings typically lies where v<100, k≤25, and t≤8. Such designs have been developed and shared by a global community over the past two and a half decades.

However, if you are not a math geek wizard and don't want to figure all that math out, simply continue reading for a simpler explanation of the practical side of combinatorics and covering design.

Why use a Wheeling System

There are several reasons why someone might choose to use a lottery wheeling system when playing the lottery:

Increased chances of winning: One of the main reasons to use a wheeling system is to increase the chances of winning a prize. By using a set of numbers in different combinations across multiple tickets, players increase the chances that one of the tickets will match the winning numbers.
Covering more numbers: Lottery wheeling systems allow players to cover more numbers than would be possible with just one ticket. This can be especially beneficial in games with a large number field, where the odds of matching all the numbers on a single ticket are very low.
Increased chances of winning multiple prizes: By using a wheeling system, players also increase the chances of winning more than one prize in a single drawing. For example, if a player has used a wheeling system to play a set of numbers on multiple tickets, and some of those numbers are drawn as the winning numbers, the player may be able to win multiple prizes.
Chance to win big: Lottery wheeling systems can be used to play multiple combinations of numbers on multiple tickets which in turn increases the chances of matching all numbers, hence the big prize.

It's important to note, however, that using a wheeling system does not guarantee a win, and the cost of playing multiple tickets can add up quickly. Some people consider lottery wheeling systems as a way to make the game more fun and also they can be used in combination with other strategies such as using numbers that have personal significance or numbers that have been drawn in the past. Players should always be aware of the cost involved and only play within their means.

Example

Let me give you an example, if you chose to buy two tickets in a Pick 6 / 53 lotto, you would need to select six out of 53 numbers. You will be hoping you have the winning numbers in the next drawing. The odds are pretty much stacked against you. If, however, you were to play 12 numbers for example 5,12,15,20,23,25,29,34,36,40,41,48; you might play them with two tickets, one having the numbers 5,15,23,29,36,41 and the other containing 12,20,25,34,40,48. You have now effectively played twelve numbers.

Now the odds are starting to turn slightly in your favor. Saturday night comes around and the winning numbers are 15, 20, 29,34,36,48 you jump for joy and celebrate! Because of all the times you’ve played lotto, you know these are the numbers you always play!!! Excitedly you look at your tickets, only to find out that you only got three of the numbers right in each ticket. What are the odds? The following Monday you are off to work again cursing at the rush hour traffic.

How do Wheeling Systems work?

Let’s try one of our systems. We are still going to play the same numbers, however, we will combine them using a mathematical approach that we will call a “wheeling system”. This random and confusing looking grid is our “Wheeling System.” This particular grid is a 12 number system with a 4 out of 6 assurance.

Pick 6 Lottery Strategy 12 Numbers Generating 6 Combinations with a win assurance of 4/6

01 02 03 04 05 06

01 02 03 07 08 09

01 02 03 10 11 12

04 05 06 07 08 09

04 05 06 10 11 12

07 08 09 10 11 12

This system is defined as 12 numbers with an assurance of 4/6 meaning if the winning numbers are within the 12 numbers that you picked then you are assured there will be a 4 number combination match.

If you were to write it out on paper it would work something like this; make a line, across the top you would write the numbers 1 thru 12. We’re going to call these the “system numbers.” Across the bottom of the line, you would write your own lucky numbers.

These are the Wheeling Numbers

01 02 03 04 05 06 07 08 09 10 11 12

05 12 15 20 23 25 29 34 36 40 41 48

These are your numbers

Now replace the system numbers with yours. Let’s take a look at the results.

Your played games

Combination 01 – 05 12 15 20 23 25

Combination 02 – 05 12 15 29 34 36

Combination 03 – 05 12 15 40 41 48

Combination 04 – 20 23 25 29 34 36

Combination 05 – 20 23 25 40 41 48

Combination 06 – 29 34 36 40 41 48

Results:

Let’s say that night, the drawn numbers were 15, 20, and 29,34,36,48 or test it and pick other numbers.

Let’s take a look at the results! The winning numbers have been highlighted. We can already see that we matched 4 numbers in game’s 2, 4, and 6. You’re still going to work Monday, but maybe you can afford to take a day off, pay that credit card, or put that down payment on your dream home. The point is you played more effectively by combining the numbers using a system. Best of all you have a real chance at the jackpot.

Combination 01 – 05 12 15 20 23 25

Combination 02 – 05 12 15 29 34 36

Combination 03 – 05 12 15 40 41 48

Combination 04 – 20 23 25 29 34 36

Combination 05 – 20 23 25 40 41 48

Combination 06 – 29 34 36 40 41 48

Powerball players: Use a pick five system and add a Powerball number. Of course, the assurances apply only if you guess the Powerball and you fill the system requirements.

Let’s take another look at how wheeling systems work

For the examples shown below let’s assume that we have elected to play the following group of lotto numbers:

2 5 7 12 13 16 20 28 30 35 38 39

and that the first system we want to examine, it operates under the following conditions:

Pick 6 12 Numbers 924 Games Assurance 6-6

This system lets you select 12 numbers.

A(6-6) Provides an assurance of a six-number winning combination if six of the winning numbers are among your selection of the twelve numbers.

C(924) This game strategy generates 924 six number games. If we were to combine those twelve numbers into every possible combination of six numbers. we would have to play 924 games. A very expensive proposition indeed!! But, if any six of the twelve numbers selected were among the winning numbers, this strategy would guarantee us the jackpot.

A second Alternative

A second alternative would be to randomly combine those twelve numbers into…. say, 20 games. While this approach is far cheaper than the one shown above there is absolutely no guarantee that we would win anything, even if six of the winning numbers were among our group of twelve numbers.

So far we have seen that attempting to use a game strategy that seeks to secure a six number win (Jackpot) can be a very expensive strategy. On the other hand, not using any game strategy can be a very disappointing alternative. Now, consider the cost of perusing a strategy that seeks to secure a four number win. For twelve numbers there are 495 four number combinations, however, in the context of a six number game, these 495 four number combinations can be accommodated into six games shown below:

S(12), A(4-6), C(6)

2 5 7 12 13 16 12 13 16 20 28 30

2 5 7 20 28 30 12 13 16 35 38 39

2 5 7 35 38 39 20 28 30 35 38 39

This does not mean that with those six games you could not hit a five number combination or even a six number combination and win the jackpot. Quite the contrary, the assurance only describes the minimum that you can expect from the system if the stated conditions of the game are met.

In order to compare the coverage provided by the system shown above, consider the coverage you may get when you randomly select numbers for the six lottery tickets.

One six-number ticket provides for 15 four number combinations.
6 lottery tickets (with random number selection) provide on the average 15*4=60 four number combinations. At best, you can equal the 495 four number combinations of the system shown above. Since the chances of the latter happening purely by random selection are not very good, you might prefer to use the more predictable strategy provided by the wheeling system.

A practical way of checking the wheeling systems

By the way here is a really practical way to check out this system. Get twelve pieces of paper and write down our twelve numbers. Put them in a hat, and randomly draw six of them without replacement. Then simply verify if any four of the six number combination is in one of the six games specified by the system. Put the six numbers back into the hat and repeat the exercise. Don’t build up your hopes… you are not out to defeat the system!!

Let’s change the conditions of the game a bit. We still want an assurance of a four number win. But instead of guessing six numbers with our group of twelve, we are now required to guess just five numbers. The system shown below would do just that. Of course, the cost of the game would go up, but then the odds of guessing five numbers are better than that of guessing six numbers.

S(12), A(4-5), C(18)

2 5 12 13 20 35 2 12 13 20 28 35 5 13 16 20 30 38

2 5 12 20 28 35 2 12 13 20 35 38 5 13 16 28 38 39

2 5 12 20 35 38 2 12 20 28 35 38 5 13 28 30 38 39

2 7 12 16 28 39 5 7 13 16 28 38 5 12 16 30 35 39

2 7 16 20 30 39 5 7 13 20 30 38 7 16 20 30 35 39

2 7 16 30 35 39 5 7 13 28 38 39 7 12 16 20 30 39

By the way.., if you still have the old hat and the pieces of paper with the numbers on it. Check out this system by randomly drawing only five numbers at a time.

Disclaimer: The methods and strategies in this publication are meant to be used as a guide when playing lotteries. Although this publication has been carefully researched, neither the author and the publisher can guarantee the accuracy of the information contained herein. The author and the publisher make no guarantee that a player will win prizes.

References:

“Lotto How to Play and Win” by Robert Serotic 1986

“State Lotteries” By Gail Howard 1986

“Lotto Expert” by Trotzki Lillo and Oscar Acosta 1988

“Probability Theory and Mathematical Statistics” by G.Klimov 1986

Lottery Wheeling Wikipedia

Combinatorial Design - Wikipedia

Worth Reading :

Wheeling Systems Wikipedia : https://en.wikipedia.org/wiki/Lottery_wheeling