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Free Guide: The Winning Lottery Formula Based on Combinatorics and Probability Theory

Last updated on December 20, 2020

Looking for a winning lottery formula? Well, mathematics remains the only sensible solution you can rely on. Here’s how to win the lottery—make an intelligent choice and be wrong less.

In a random event such as a lottery draw, making an intelligent decision is all about calculating all the possibilities and choosing the right course of action to give you the best ratio of success to failure.

And calculating the possibilities of a lotto game requires knowledge of mathematics.

Here, there will be no superstitions. What you’re going to discover here are pure realities derived from proven principles of probability theory, combinatorics, and the law of large numbers. And I will confirm everything for you using the actual results of the lottery. Numbers don’t lie.

### Lottery Success Requires Right Knowledge

Winning the lottery is so difficult because the odds of the lottery are so monumental.

But the astronomical odds are not the only reason why you are not winning. Those mistaken beliefs surrounding the lottery may have been holding you back from achieving lottery success. 1

Playing the lottery is like a war. You must know the enemies, plan a strategy, and execute the attack to win the war.

No one describes it better than Sun Tzu:

The general who wins the battle makes many calculations in his temple before the battle is fought

Knowledge is power. So, I will let you in on mathematical studies to help you understand how number combinations behave in a random game like the lottery. This knowledge is crucial to winning.

#### A Friendly Reminder – a Lottery Game is a Form of Gambling

The lottery’s whole idea is plain and simple — you play just for fun (for a cause). You want to give it a shot at the tease of “what if” you hit the jackpot. That’s absolutely exciting. Isn’t it?

If you win, great! You’re on your way to a life-changing journey. But if you lose, at least, you helped your community in such a fun way.

You see, your losses are just the price of the entertainment. Much the same way as concert and cinema tickets are the price of a good time. 2

And like anything in life, we allocate a budget for everything. That means you should save money for your lottery entertainment in much the same way as you allocate a budget for watching the NBA live to entertain yourself.

Since the lottery is just entertainment, you should only spend the money you can afford to lose.

The lottery’s odds are designed to put you on the losing side for the majority of the draws.

You may have heard that you should focus on winning small ones frequently to win the jackpot. This statement misleads many players. Lotto players are usually vulnerable to manipulative biases. 3

That is, players get too excited about their recent wins (availability bias) 4 , 5 . And then, they tend to emphasize the winning instances and ignore the many times they lose (confirmation bias) 6 . So some lotto players think that it’s possible to profit out of winning small prizes.As a result, they fell into an illusion of control over the game. 7 , 8 Humans are very susceptible to this fallacy.

In mathematical theory, your odds of winning the jackpot prize are one against all the many possible ways you fail.

In plain English, the equation is simply the ratio of success to failure.

For example, in the US Powerball 5/69 game, you get only one success against the 292 million ways you lose. So no matter what guarantees someone promises you, the underlying probability never changes. In the lottery, the expected value is always negative. 9

In other words, the lottery cannot be a substitute for a full-time job. It’s never a profitable exercise.

The best way to explain it is through the probability of losing.

The overall probability of winning any prize in the U.S. Powerball is 0.0402162320744297. That is based on the payout of the US Powerball at the time of writing this article.

We get the probability of losing by doing:

P(losing) = 1 – P(winning)

P(losing) = 1 – 0.0402162320744297

P(losing) = 0.95978376792557

The result of our calculation means that about 96 of 100 Powerball tickets you buy will turn out losers.

But even though the odds are stacked against you, all hope is not lost. We can look upon the role of randomness as the key to lottery success. That’s how math can help.

In fact, you should be thankful that the lottery is truly random.

#### What to do as a lotto player?

When you consider the money that you are spending in the lottery, you might as well play it right.

No amount of superstition will ever help you become a national lottery winner one bit. No super machine, no artificial intelligence, and no psychic phenomenon (if that even exists) will help you know the lottery’s prior results.

When a magical power doesn’t exist, mathematics remains the only tool you can use to help you pick combinations with the best shot possible.

However, the most important thing to consider above all is your ability to handle knowledge with responsibility.Like Uncle Ben said, with power comes great responsibility.

In short, have fun but play responsibly. 10

Now in the name of transparency, I don’t play the lottery.I know your next question will be, why should you listen to me.

As a computer programmer and a stock market investor, I have learned from my profession how important math is in decision making.

Everything you see in this world has to do with mathematical equations, and the lottery is no different. The lottery is all about random numbers. And how numbers behave in a random activity is such an interesting subject for me.

It piqued my curiosity to apply math to it and see what works. I can use various mathematical methods to analyze the lottery, and I don’t need to be a lottery player to prove my point. With the lottery’s randomness, it is possible to calculate a reasonable expectation that will help you win the game. 11

I am just basically sharing the results of my research.

The good thing about mathematics is that you can prove calculations by comparing mathematical theory with the actual results. Believe it or not, it’s all up to you.

### The Crucial First Step

A winning strategy starts with your choice of the lottery.The keys are fewer balls and a less pick size.

For example, if you choose among three lotteries with 49, 42, and 35 balls, then your clear choice should be the one with 35 balls.

So remember the rule, fewer numbers, better odds.

But the pick-size matters too. So between 5/35 and 6/35, your best game should be 5/35.

So that’s another rule to keep in mind. Less pick size means better odds.

So what is the mathematical basis for choosing the best lottery to play?

Well, our analysis of the lottery should always start with knowing the odds.

In the lottery, we use binomial coefficients or the combination formula to calculate the lottery’s total possible combinations. 12 , 13

Combination formula is expressed in one of the following:

The above formula reads “n choose r.” We use this formula to calculate the number of possible combinations of r objects from a set of n objects.

For example, in a lotto 6/49 game, the total number of combinations is exactly 13,983,816 or less than 14 million.

There is only one way you can successfully win the jackpot, and there are (13,983,816 minus 1) ways you lose in a 6/49 lotto game.

Therefore the odds of winning a Lotto 6/49 game are 1 to 13,983,815.

As you see, it isn’t easy to win.The next jackpot winner could be more likely NOT YOU.

It will take you more or less 14 million attempts to win. That is, if you play one ticket every week, then you need 13,983,816 weeks or approximately 269,000 years to hit the jackpot.

It would be best if you choose a lottery with better odds.For example, a 6/42 game has only 5,245,786 combinations, which are almost three times better than 6/49.

#### Watch Out for Additional Numbers

It takes many different names. For Mega Millions, it is called the gold mega ball.In Euro Millions, it’s called a lucky star.Some lotteries call it bonus numbers or supplementary numbers.

Some lottery systems take the extra ball from the same drum. For instance, the Tattslotto system takes two supplementary numbers from the same drum, which makes this lottery a favorable one in comparison to US Powerball or the US Mega Millions.

In the Irish Lottery system, the supplementary numbers are taken from the same drum, so that’s an easy game like the TattsLotto.

However, some lottery systems take the extra ball from a different drum.

For instance, the US Powerball draws numbers from two drums.If not for the extra red ball, your odds would have been 1 to 11 million. But because the Powerball game has to draw another ball from a different drum, the odds become 1 to 292 million. 14

If the lottery draws numbers from more than one drum, you bet, it can be one of the hardest lotteries to win. It’s simple as that.

A lottery can come in many formats.As a lotto player, the overall odds should serve as the ultimate guide.

Below is a comparison of some of the lotteries in the world. You will see the corresponding odds in favor of winning the jackpot.

From the table above, it shows that Trinidad/Tobago Cash Pot 5/20 is the lottery that exhibits the best odds. And you should avoid Italian Superenalotto as winning in that kind of system is like wishing for a miracle.

Understand that the prize is directly proportional to the odds. The higher the prize, the harder the odds.

As a lottery player, your choice should be a trade-off between the prize that is acceptable for you and the level of difficulty you are willing to take.

Generally, you should choose a lottery with fewer balls, less pick-size, and draws numbers from just one drum.Lotteries that match these criteria are Irish Lotto 6/47, Australian Tattslotto 6/45, Canada Lotto 6/49, Fantasy 5, and many others.

### The Difference Between a Number and a Combination

Numbers and combinations are two different terms.

A number refers to an individual ball in the lottery. A combination, on the other hand, is a selection of numbers that, when put together, form a specific composition.

For example, 3,15,27,39,41, and 49 are all different numbers.But when they are put together, they form the combination 3-15-27-39-41-49, which perfectly describes a 6-odd composition.

The following are some example of combinations:

So what’s the difference? The difference is huge.

In a lotto strategy, you can choose any number you like. Yes, including those numbers that you consider are unlucky.

How you combine numbers is what makes the biggest factor in your winning chances.

In other words, making the wrong choice will ruin your chances of winning the jackpot.

All combinations have the same probability.So don’t get me wrong.

First, let’s go deeper into the probability of each number in more detail.

#### All numbers have an equal probability

Mathematically speaking, hot and cold numbers don’t exist.

In a few draws, you will notice that some numbers tend to be drawn more frequently than others. However, as the number of draws increases, all the balls tend to even out. Then some of the numbers that were left behind, later on, catch up.

This event is described in mathematics as the law of large numbers or LLN. 15 , 16 The law means that the frequency of each ball tends to get closer and closer as more draws take place.

To illustrate, let’s take a look at the actual results from the Canada Lotto 6/49 From 1982 to 2018.

The table shows the frequency of 10 balls (1,6,11,15,18,22,28,35,42,49) taken from 36 years worth of actual data.

In the initial 30 draws, you can see the huge gap between numbers 18 and 49. And you will notice the same thing with other numbers as well.

Here’s a pie graph to show the huge difference in frequencies in the first 30 draws of the Canada Lotto 6/49.

As you see, numbers 11, 18, 28, 35 get the lion’s share of the pie.

As the lottery draws take place, those less frequently appearing numbers start to catch up.The pie graph below shows the improvement of other numbers in 50 draws.

In 100 draws, numbers were starting to even out.

And the frequency balances out as draws continued to 500 draws.

And the frequency continues to get closer and closer in 1000 draws.

And fast forward to the year 2018, the pie graph continues to show no bias at all.

It’s beautiful! Isn’t it?

The last pie graph proves that all the numbers in the lottery have the same probability.

Notice that we don’t include all the balls in the pie graph for lack of space. But if we have to get the frequency of all the 49 balls in the 3688 actual draws, the graph should look like the one below:

The graph proves that all numbers in the number field get a fair chance of getting drawn. In other words, there are no lucky and unlucky numbers.

Now, if lucky numbers don’t help one bit, what does?

It’s the combination.

The way you combine numbers is the key to your lottery success.

Let’s dig deeper into the aspect of combinatorial mathematics in the next section.

### The Great Lottery Misconception

All combinations in the lottery have an equal probability of getting drawn because there’s only one way to win the jackpot.

So does that mean 5-10-15-20-25-30 is equally likely? Well, yes. That’s because theoretically:

P(5-10-15-20-25-30) = One way to win the jackpot / All possible combinations

The same calculations apply to 1-2-3-4-5-6 or 2-4-6-8-10-12. It applies to all combinations.

Consequently, many people and experts alike believe that the lottery has no bias.

That belief must be corrected.

Ask yourself, are you willing to bet your money on the 5-10-15-20-25-30 or the 37-38-39-40-41-42 ticket?

But here’s the thing, if you stand up firmly and say those combinations are equally likely as any other combinations in the lottery, then why worry?

Is it because a gut feeling is much stronger than logic? 17

It’s either you don’t trust your calculation, or your understanding of probability is based on a weak foundation.

You see, a strategy based on a “gut feeling” shouldn’t be superior to mathematical reasoning.

The reality, those straight sequential combinations, straight multiples, and all combinations with pretty observable patterns, all these combinations are considered “unusual,”coincidences,” and “rare” events.

In mathematics, all these seemingly “weird and surprising” events are bound to take place because a random lottery must follow the dictate of the law of truly large numbers. 18 , 19

So while the combination 1-2-3-4-5-6 is possible to occur, understand that your ability to win the jackpot is crippled because you need a truly large number of opportunities to make your dream come true. In the lottery, this means you need millions of draws to encounter this improbable combination.

And that’s exactly how to be wrong when you play the lottery.

Of course, your gut feeling might be saving you, but it’s also the same gut feeling that prevents you from winning. That’s because you see only the tip of the iceberg.

The truth, millions of worst combinations exist in your game, and you probably wasted your money in one of them.

As I am saying, it’s best to know why things happen and why things don’t.

Now, let me explain this “gut feeling” thingy in mathematical terms as you proceed below.

#### Combinations Are Not Created Equally

You have to understand that a combination is a composition of numbers.

And composition matters.

The best way to explain composition is through combinatorial patterns.

With the use of probability theory, we can separate the best group from the worst ones.

Below are examples of combinatorial patterns in a lotto 6/49 system.

A combination that consists of all even numbers can only occur once in 100 draws, while a balanced odd and even combination can occur 33 times in 100 draws.

If we want to know how these two groups will occur in 1000 draws, we only need to multiply the number by the corresponding probability.

As you see, 3-odd-3-even combinations occur more frequently than a 6-even combination.

So now, how do we understand the difference between the two combinations?

It’s simple.Variance exists.In statistics, a variance is a measure of how widely spread out the possible outcomes of a decision are. 20

Ok, the concept of variance may sound too technical, so it’s not simple.

Let me offer you a better explanation.

The key is to understand that odds and probability are two different terms with two different equations. 21 , 22

Probability is the measurement of the likelihood that an event will occur, while the odds refer to the ratio of success to failure.

In simple terms, we don’t have control over the probability of winning.But we have the power to choose better odds.

There are 4,655,200 ways you can combine 3-odd-3-even combinations. So, 333 of 1000 draws will put you in 1 to 4.6 million advantage rather than 1 to 14 million.

That means for every 100 attempts that you play the lottery, approximately 33 of those attempts are opportunities to match the winning combination.

In comparison, 6-even combinations will give you the odds of 1 to 134,596, but be aware that this advantage will happen only nine times in 1000 draws.

That means if you play 2-4-6-8-10-12, then expect that your opportunity to win the jackpot only comes around every 100 times that you play.

As a lotto player, I don’t think you will be willing to spend money then see your money going down the drain for most of the draws. You surely want to put more value on your money by choosing to play the kind of combination that provides a better success ratio to failure.

Let me give you a hint:

 6-even-combination 3-odd-3-even-combination 134,596 ways to win 4,655,200 ways to win 13,849,220 ways to fail 9,328,616 ways to fail 1 opportunity to win out of 104 attempts 33 opportunities to win out of 100 attempts LOW RATIO OF SUCCESS HIGH RATIO OF SUCCESS Not a smart choice An intelligent choice

As you see, a mathematical strategy is all about choosing a better ratio of success to failure.You need math to know all your possible options to make the right choice.

Your goal is to win the lottery, and the first thing you should know before you play is to know the ratio of success to failure and choose the best one. You cannot change the underlying probability, and you cannot beat the lottery’s odds, but as a lotto player, you have the power to know and make the right choice. Even choosing not to play is a strategy by itself.

Simply put, wrong combinations lead to a waste of money.

The right choice of combination leads to a good shot at the lottery.

Thanks to combinatorial math and probability theory because we have the means to know whether or not you’re on the right track.

Let me give you another way to explain it.

#### Here’s why combinations are not created equally

Let me explain with the use of two simple types of marbles in a jar. The yellow and the red color marbles represent the types of combinations in the lottery.

As you see, the yellow marbles outnumbered the five red marbles. Probability explains that when you randomly pick a marble from a jar with your eyes closed, you will more likely get a yellow one.

Your second and third pick will be more likely yellow marbles again because the probability leans towards the yellow marbles getting picked more often than the red ones.

P(yellow) = 95/100 or 0.95

P(red) = 5/100 or 0.05

Assuming we reset the number of marbles in each trial, the yellow marbles will get picked 95 times every 100 draws. Then the red marbles will only get picked five times in every 100 draws.

Expected Frequency (yellow ball) = 100 x 0.95 = 95 times

Expected Frequency (red ball) = 100 x 0.05 = 5 times

So if you bet your money on the red ball, then that means you are 95% wrong for most of the draws.

The same probability principle rules in a random game such as the lottery. We use mathematics to help us make the right decision for the majority of the time.

Here’s something for you to remember:

It’s the ratio of success to failure that matters, not the probability per se.You cannot control the underlying probability, but you have the power to choose better odds.The role of mathematics is to help you identify the things you don’t have control over to focus on the things you can do easily.

Let me give you solid evidence that, indeed, your choice of combination matters.

#### Odd/Even combinations

Let’s group 49 numbers in two sets.

We have 25 odd numbers and 24 even numbers.The two sets represent the 49 balls of a Lotto 6/49 game.

Out of these two sets, we can produce the following types of combinations:

Each odd/even pattern holds a certain number of possible combinations. Their total represents all the possible combinations in a lotto 6/49 game, which is 13,983,816. And the sum of all their probabilities should equal 1.

From the table above, we see that the best group in a lotto 6/49 game is the 3-odd-3-even. This group will give you 33 ways to win the jackpot in 100 draws.

And accordingly, those combinations which consist of either all-even or all-odd numbers will only give you one opportunity to match the jackpot combination every 100 draws.Hence, these two groups are the worst.

Noticeably, some groups are neither best nor worst. These combinations are considered the middle ones.

Choosing a 3-odd-3-even combination instead of 6-even (e.g., 2-4-6-8-10-12) WILL NOT increase your chances of winning because all combinations have the same probability. You should not choose 2-4-6-8-10-12 because the 0-odd-6-even pattern has fewer ways to win and have more ways to fail. It would be best to choose 3-odd-3-even because it gives you the best ratio of success to failure.

The following tables below should guide all lotto 6/49 players on what combinations to play in a lottery draw.

Recommended Combinations

Middle Type Combinations

Combinations to Avoid

#### Actual ODD-EVEN Pattern Frequency Versus Theoretical Calculation

I have shown that combinations are not created equally. Now, let’s prove it by comparing our calculation with the actual lottery results.

As I said, we use probability to measure how likely a group will occur in a given number of draws. So by multiplying the probability value by a certain number of draws, we get the expected frequency.

Expected frequency = Probability X number of draws

And to prove that our theoretical calculation is correct, the expected frequency should closely match the actual frequency.

Now, let’s see how our theoretical calculations fare with the real-world scenario below:

Australian Saturday Lotto
734 draws from January 7, 2006, to February 1, 2020

Can you notice the close match between expected frequency and actual frequency?

Take note that probability is simply a guide. Don’t expect that values will perfectly match. Sometimes they do.

And as you see, the above table proves that combinatorial groups don’t have equal probability.

Of course, a probability analysis applies to the Australian lottery and all lottery systems.Let’s move on to other lottery systems to prove our point further.

U.S Powerball
449 draws from October 7, 2015, to February 5, 2020

Note: Our analysis of the U.S. Powerball must start on October 7, 2015, because this was the date when lottery officials began to implement the 5/69 format.

If you notice, both theoretical probability and the actual lottery results agree that combinatorial groups have different probabilities. And we can prove it again and again.

The succeeding tables below should speak for themselves.

Euro Millions
1,276 draws from April 16, 2004, to February 4, 2020

Euro Jackpot
410 draws from March 23, 2012, to January 31, 2020

Irish Lotto
461 draws from September 5, 2015, to February 5, 2020

U.S. Mega Millions
237 total draws From October 31, 2017, to February 4, 2020

Note: Our analysis of the U.S. Mega Millions must start on October 31, 2017, because this was the date when lottery officials began to implement the 5/70 format.

UK Lottery
449 draws from October 10, 2015 to February 5, 2020

#### Low/High Combinations

Aside from odd and even, numbers can be grouped into low and high. Let’s group 49 numbers into two sets:

Out of these two sets, our probability analysis shows that winning numbers tend to be evenly distributed in the entire number field as the majority of the winning combinations consist of 3 numbers from the lower set and three numbers from the higher set.

Similarly, players are encouraged to stay away from a group that consists of purely low numbers or purely high numbers.

Choosing a 3-low-3-high combination instead of a 6-low combination (e.g., 1-2-3-4-5-6) WILL NOT increase your chances of winning because all combinations are equally likely. You should avoid 1-2-3-4-5-6 because a 6-low-0-high pattern has fewer ways to win and more ways to fail. I recommend choosing 3-low-3-high because it offers the best ratio of success to failure.

Below are the tables showing all the groups we can produce from the two sets of numbers.

Recommended Combinations

Middle Patterns

Worst Patterns

#### Actual LOW-HIGH Pattern Frequency Versus Theoretical Calculation

Again, both theoretical calculation and the actual lottery results agree that some groups perform better than others.

Take a look at the following tables below:

Australian Saturday Lotto
734 draws from January 7, 2006, to February 1, 2020

U.S Powerball
449 draws from October 7, 2015, to February 5, 2020

Note: Our analysis of the U.S. Powerball must start on October 7, 2015, because this was the date when lottery officials began to implement the 5/69 format.

Euro Millions
1,276 draws from April 16, 2004, to February 4, 2020

Euro Jackpot
410 draws from March 23, 2012, to January 31, 2020

Irish Lotto
461 draws from September 5, 2015, to February 5, 2020

U.S. Mega Millions
237 draws from October 31, 2017, to February 4, 2020

Note: Our analysis of the U.S. Mega Millions must start on October 31, 2017, because this was the date when lottery officials began to implement the 5/70 format.

UK Lottery
449 draws from October 10, 2015, to February 5, 2020

#### The Problem With Two Separate Analysis

Probability analysis can be problematic and quite confusing.

For example, a combination such as 1-2-3-4-5-6 consists of 3-odd-3-even numbers. According to our odd/even analysis, such a combination is considered one of the best ones.

But we know it’s not true because conversely, from our low/high analysis, a combination made of purely low numbers possesses an inferior probability.

Confusing, isn’t it?

There should be a better method.Fortunately, there is, and you are about to discover advanced ideas on combinatorics in the next section.

### Lottery Wheel: Playing the Lottery with Combinatorial Strategy

It’s time to level up.

I have introduced you partially into the idea of combinatorics using odd, even, low, and high numbers.

But what is combinatorics?

Combinatorics is a branch of mathematics that deals with the combination and permutation of objects belonging to a finite set of elements and the mathematical relations that characterize their properties. 23 , 24 , 25

The many different ways of combining elements in a set are among the main tasks in combinatorial design. 26 Combinatorial design can be useful in a range of practical applications, from statistics, computer science, business to economics. In the lottery, one way we take advantage of combinatorics is using a number-wheel or lottery wheel. 27

There are many kinds of lottery wheels. Let’s talk about the most popular ones below.

#### Full Wheeling System

The wheeling system allows you to pick more numbers to increase your coverage of matching the numbers drawn in a lottery draw.

For instance, in a lotto 6/49 game, selecting 10 numbers will produce a total of 210 possible combinations for you.

Suppose you pick 6,8,14,15,21,26,27,41,42,44 and the numbers 8, 15, 27, and 44 are drawn, then the system provides you with the following matches:

But there is one caveat, though. You only win something when some of the winning numbers are among your selections. Otherwise, you don’t win anything.

The disadvantage of the full wheeling system is that it tends to become expensive since it must produce all the possible lines. The more numbers you select, the more combinations you need to buy for maximum win coverage.

For instance, if you select 11 numbers for a lotto 6/49, it will produce 462 possible combinations. If you pick 12, then the combinations will increase to 924.

So again, it comes down to how many combinations you can afford to buy. But don’t worry, mathematics has a way to make things a lot cheaper for you. Let’s talk about that next.

#### Abbreviated Wheeling System

An abbreviated wheel is the reduced version of a full wheeling system. It does not include all the possible combinations out of your selection. Hence, this wheeling system is said to be an economical alternative.

In a full wheeling system, selecting 10 numbers will produce 210 possible combinations. But in an abbreviated system, 10 numbers will only produce 10 lines.

But because an abbreviated system does not include all the possible combinations, you win fewer matches. Nonetheless, it still guarantees at least one win if some of the winning numbers are among your chosen numbers.

If we use the same set of numbers 6,8,14,15,21,26,27,41,42,44, then below is an example of a reduced list of combinations using an abbreviated system:

If 8, 15, 27, and 44 are drawn, then the system provides you with the following matches:

#### Which Lottery Wheel System is Better?

Let’s illustrate the big difference between the two.

Let’s say we pick these 10 numbers 3,8,13,16,21,22,35,39,40,46. The table below will show you how many combinations are possible for each wheeling system.

To see the huge difference between the two systems, we will assume four different scenarios. And for each scenario, we will count how many ways you get winning matches for each system.

If 8, 35, and 40 were drawn (3 of 10 numbers)

You may not see the big difference in this scenario. For most lottery systems, getting three correct numbers is not that too exciting.

Let’s try what will happen if we get four numbers correct.

If 8, 21, 35, and 40 were drawn (4 of 10 numbers)

As shown from the table above, you can see a big loss for not having four matches in the abbreviated version. In the full version, having 4-matches 15 times is quite a consolation, and the many 3-matches are not bad at all.

If 8, 13, 21, 35, and 40 were drawn (5 of 10 numbers)

When you get five winning matches from your selection, the full version will surely give you that guarantee.

If 8, 13, 21, 35, 40, and 46 were drawn (6 of 10 numbers)

And here is where the big difference shows. The table above tells that the full wheel gives you all the reason to celebrate.

Based on the tables above, we can arrive at the following conclusions:

Abbreviated System Full-wheel System
Cheaper Expensive
There’s no guarantee that you win the jackpot even if six numbers from your selections were drawn. You get the guarantee that you win the jackpot if six numbers from your selections were drawn.

Now let’s go back to the question. Which is better? The answer is neither.

I don’t recommend both the full-wheel and the abbreviated wheel. I will tell you why in the next section.

### The Truth About Lottery Wheel

You’ve probably heard or read that the way to win fast is to stop hitting the jackpot and start earning small prizes to keep you in the playing loop until you win the jackpot. Really?

For many lotto strategists, the lottery wheel is the perfect tool for that. But there is something you need to know why a lotto wheel doesn’t work and often misleading.

Let me point out three major problems below:

#### Problem #1. An Abbreviated System Doesn’t Produce The Best Types of Combinations

Lotto players like to play with a system that guarantees sure winning at a minimal cost. So the abbreviated system is the solution to the problem.

I’ll let you be the judge.Let’s use the same set of numbers from the previous section:

To get a minimal list of combinations, we can divide the numbers into five groups:

Out of this grouping scheme, we can produce ten lines as shown from the table below:

Now, let’s find out how likely you will win the jackpot using this abbreviated wheeling method. Of course, the common lottery rule says you must match the six winning numbers to win the jackpot. So to make it happen, your abbreviated wheel should look like this:

That is if the winning numbers are 3-8-13-16-21-22.

That is if the winning numbers are 3-8-21-22-40-46.

That is if the winning numbers are 13-16-35-39-40-46

However, the lottery has a different plan. In a random game like the lottery, the chances that you match the above patterns rarely occur. In other words, a random game doesn’t work that way.

Most winning numbers look like the one below:

As you see, winning numbers are drawn from different boxes. That’s how a random event works. That’s how the lottery works.

Let’s prove it from the actual lottery draws. Let’s use the Canada Lotto 6/49. You can download the full list of results from June 1982 up to the current year from the link below:

At the time of writing, my list is from June 1982 to September 2018. So that’s a total of 3,688 draws in 36 years.

My study shows that trapping five numbers from our ten selections occurred six times in 36 years.Therefore, you should be able to get some 5-number-matches six times. Right?

The chances that you get 5-number-matches from the reduced ten lines is unlikely. Let’s look at those draws where five winning numbers are found in the original set of 10 numbers.

Draw No. 580
Draw Date: 1989-08-12
Winning Numbers: 03-04-13-21-22-46

Composition: 2 numbers from box C, 1 number from box A, 1 number from box B, and 1 number from box E.

So if five winning numbers are within your selection of 10 numbers, your winning lines may compose 4 and 3 matches, but you don’t get 5-matches.

Draw No. 635
Draw Date: 1990-02-21
Winning Numbers: 13-16-21-26-35-46

Composition: 2 numbers from box B, 1 number from box C, 1 number from box D, and 1 number from box E.

Based on the above winning numbers,you get the same results.You don’t get 5-number-matches, only 3-matches, and 4-matches.

Draw No. 1202
Draw Date: 1995-07-29
Winning Numbers: 08-13-16-37-39-46

Composition: 2 numbers from box B, 1 number from box A, 1 number from box D, and 1 number from box E.

Time and again, a random game will never follow your abbreviated system. Your winning lines will consist only of 4 and 3-matches.

Draw No. 2347
Draw Date: 2006-07-19
Winning Numbers: 08-13-21-22-24-39

Composition: 2 numbers from box C, 1 number from box A, 1 number from box B, and 1 number from box D.

Here are the winnings lines:

Draw No. 2769
Draw Date: 2010-08-04
Winning Numbers: 05-08-13-22-35-40

Composition: 1 number from box A, 1 number from box B, 1 number from box C, 1 number from box D, and 1 number from box E.

And the winning lines are:

Draw No. 3093
Draw Date: 2013-09-11
Winning Numbers: 13-21-22-26-35-40

Composition: 2 numbers from box C, 1 number from box B, 1 number from box D, and 1 number from box E.

The winning lines are:

What is the message?

Based on the above analysis, you will notice one particular observation:

In a random game such as the lottery, numbers drawn are evenly distributed. It’s been proven over and over in 36 years of Canada Lotto 6/49. The same rules apply to all lottery systems in the world.

In a random 6/49 game, an event such as capturing all the six winning numbers in 3 boxes is likely not going to happen. In fact, in 36 years of Canada Lotto 6/49, such an event has never occurred for our 10 number selection.

But don’t get me wrong, an event such as trapping the six winning numbers in 3 boxes is still possible. What we are saying is that the probability is very low.

Why doesn’t the abbreviated wheel system work according to probability?

Well, everything starts with the available sets. Our sets should look like this:

Using combinatorics, we can determine all the possible patterns.

We can divide these patterns into three groups with corresponding probability measurements.

 Group Probability Value Category Group 1Patterns #1, #2, #3, #4, #5 0.0761904762 per pattern Best Probability Group 2Patterns #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16, #17, #18, #19, #20, #21, #22, #23, #24, #25, #26, #27, #28, #29, #30, #31, #32, #33, #34, #35 0.0190476190 per pattern Middle Probability Group 3 (This is the abbreviated system) Patterns #36, #37, #38, #39, #40, #41, #42, #43, #44, #45 0.0047619048 per pattern Worst Probability

Those numbers that were produced using the abbreviated system falls under group 3.

The low probability measurement of group 3 explains why the abbreviated system doesn’t work well. If you plan to play ten lines using this group in 1000 draws and pay \$2 per ticket, you will spend \$20,000 tickets, and all you will get are measly 3, and 4 matches win. Not a worthwhile exercise altogether.

No doubt, patterns #1, #2, #3, #4, and #5 from group 1 work best.The empirical proof speaks for it. See the tables below:

Notice that patterns from the abbreviated group never produced 5-matches.You see, your lottery wheel can make or break your chances of winning.

That’s the value of having the right tool that will help you get the best shot possible. You need a calculator that gives you the power to know the best and the worst type of combinations in your chosen lottery. Stay tuned because down below, I will introduce a calculator that will do exactly just that.

#### Problem #2. Capturing All The Winning Numbers Is Difficult By Wheeling Just a Few Numbers

One of the most important ideas why you use a lottery wheel is the expectation that you capture the winnings numbers from a set of many numbers.

But this is very unlikely when your selection’s size is only ten numbers or less than 20. Again, let me prove my point using the actual lottery draw from Canada Lotto 6/49.

The table below will show you the numbers we have captured in 36 years within the same set of 10 numbers:

So what does the above table mean?

It only means that winning the jackpot prize by wheeling only ten numbers is non-existent in 36 years. Please see it for yourself. Download the actual lottery results from the Canada Lotto 6/49 and track them for yourself.

If we increase our set from 10 to 15 numbers, here’s what we get:

The results may improve a bit but not quite:

Most abbreviated systems guarantee that you are winning 5 or 4 winning matches if six numbers are captured within your selection. But as we can see from wheeling 15 numbers, this event only occurs three times in 36 years. Twelve years in between on average, which is not a worthwhile exercise.

And even if we captured five numbers 35 times, I have already shown you the proof that this does not necessarily mean winning 5-winning matches in an abbreviated version.

Although winning the jackpot prize is still possible from the reduced list, the chances that this will happen is very low according to probability.

#### Problem #3. Wheeling 20 Numbers or More is Expensive

Now that you already know that the abbreviated system may not be a good option, it’s also important to understand that even the full-wheeling system is not a good option.

The table below will show you the required number of tickets to buy for a full system:

As you see, the single biggest concern with the full-wheeling version is budgetary.If we have to consider the number of elements we need to wheel, the number of tickets increases quickly.

#### The Solution

Neither the full-wheel type nor the abbreviated type work.So what can be the solution?

A solution is a lottery wheel that combines combinatorics and probability theory in one system. 28 Let me introduce to you the Lotterycodex calculator in the next section. The only lottery wheel available online that separates the good, the bad, the worst, and the best combinations in any lottery game.

### The Lotterycodex Calculator – A Superior Lottery Wheel With Probability Measurement

Your job as a lotto player is to win the big jackpot and not just get a measly small prize.

But it isn’t easy to achieve such a goal when you use the abbreviated system. And it’s expensive when you choose the full wheeling system.

Fortunately, there is a solution.

We can use mathematics to find your way in the middle where you play at a minimal cost and play with a better success ratio of winning the jackpot prize (not just the lower-tier prizes).

Therefore, I propose a number wheeling method to combine the power of combinatorics and probability theory in one system.

Lotterycodex calculator is created to do just that.

The idea is to make everything as simple as possible. Not everyone is a math prodigy, so a calculator will be a nice thing to have. But even if you have a fair understanding of combinatorics and probability theory, you want to avoid the boring and tedious calculation process.

To use the calculator, you will be asked to choose numbers. The calculator then will make a list of all possible patterns from your selection.

Then, using the probability theory, the calculator will separate the best combinations from the worst ones. Now you have the power to know the best combinations that will give you the best shot possible in your game. And you don’t waste your money on those combinations that will not likely occur in a draw.

That’s how it works. It has the power to predict the type of combinations that will dominate your lottery over time. And you don’t need to analyze the lottery’s historical draw results.

The calculator is designed carefully to enforce balance, so you only need to point and click, and a list of combinations will be ready for download. Generating combinations can’t get any easier than that.

Combinations are divided into distinct combinatorial patterns. These patterns are ranked according to probability.

To illustrate, here’s an example of a set of 20 numbers for a 5/32 game.

These 20 numbers have produced 65 winning combinations in 8 years in the Idaho Weekly Grand 5/32 game from February 1, 2012, to July 31, 2019.

According to Lotterycodex calculation, the following combinatorial patterns will dominate the list:

The calculation is theoretical because we predicted the best four patterns by using combinatorics and probability theory.

And indeed, the math does not lie.

According to the law of large numbers, the actual lottery results must follow the dictate of probability. And truthfully, the agreement between theoretical calculation and actual lotto results becomes evident as the number of draws gets larger and larger.

As the Idaho Weekly Grand 5/32 draws continue, expect that the four best patterns will dominate the winning list.

Indeed, in the actual draws of the Idaho Weekly Grand, the results are dominated by patterns #1, #2, #3, and #4.

Here’s the summary of how the first four patterns dominated the majority of the draws.

The summary above is based on the winning numbers produced by the set of 20 numbers

As you see, the calculator will tell you accurately and precisely what combinatorial patterns will perform best in your game. And you don’t need to analyze the previous lottery results to make this kind of high-precision, high-accuracy prediction.

That’s the power of mathematics. That’s the power of using the right tool.

Now you might wonder, how does Lotterycodex separate the best combinations from the worst ones.

Stay tuned because that’s precisely the question we’ll be talking about next.

Key takeaways

• Aim for the big jackpot; That’s your job as a lotto player.
• With a Lotterycodex calculator, you know the combinations that will give you the best shot possible. And you don’t waste your money with the worst groups.
• It’s not easy to win the lottery. Winning the lottery takes persistence. If you stick with the best groups, winning is just a matter of time.

### The Best Lotto Numbers To Pick

At this point, I’m pretty sure; you get my main point.You must aim for the jackpot.I can’t highly stress that enough.

Contrary to other methods, I will tell you to focus your goal on hitting the first prize.

I know some lotto gurus online recommend that you target the small prizes and win more frequently until you hit the jackpot. I have explained how this method misleads you. And I will repeat, my friend, that’s not how the lottery works.

If you aim to win small prizes frequently, then this free guide is not for you. Please stop reading right now and go somewhere else. Lotterycodex is not the right guide for you.

Now, if you want to change your mindset to become a responsible player, then welcome. The only responsible way to play the lottery is to “save money” and do your best to “hit” the jackpot.

Now to win the jackpot, you want the best shot possible.

You see, winning the biggest prize in the lottery is not an easy job.But all hope is not lost because you have the power to understand how numbers behave in a random game.

In short, make an intelligent choice.

And the best way you can do it is to pick your combination from the best group that provides you the highest ratio of success to failure.

These high-frequency groups exist, and the evidence lies in the fact that the lottery obeys the dictate of probability and the law of large numbers or LLN.

#### What Is The Law Of Large Numbers?

Wikipedia defines LLN this way:

In probability theory, the law of large numbers (LLN) is a theorem that describes the result of performing the same experiment a large number of times. According to the law, the average of the results obtained from a large number of trials should be close to the expected value and will tend to become closer as more trials are performed. 29

This only means that each type of combination will occur very close to the frequency dictated by its probability in layman’s terms. And the closeness in value will tend to become evident as more draws take place.

The high-frequency combinations may not be evident in 10 or 30 draws. However, in 100 draws or more, these high-frequency combinations will become apparent. And the same type of combinations will continue to dominate if you track more patiently up to 1000 draws and more as long as the lottery exists.

My lottery studies show undeniable agreement between actual lotto results and probability estimation. The agreement between the actual statistics and theoretical calculation proves that the lottery follows the law of large numbers.

#### How Does Lotterycodex Determine These High-Frequency Groups

I emphasized the benefits of using combinatorics in the previous section. However, combinatorics is not enough. It needs additional support from another branch of mathematics, and this is where probability theory can come to help.

What is probability?

Probability is the branch of mathematics that deals with measurements of how events will likely occur. 30 , 31 , 32

Together, combinatorics and probability give us an ultimate clue on how to get the best shot possible.

To begin with, we need the right combinatorial design.

#### A Unique Combinatorial Design By Lotterycodex

Earlier, we revealed that having two separate probability analyses can lead to confusion.

For example, 1-2-3-4-5-6 are considered one of the worst combinations if we base our conclusion on the low-high patterns. Conversely, odd-even analysis suggests that such a straight combination is one of the best ones. This analysis cannot be right.

The solution to this contradiction is to put the two analyses together into one combinatorial equation. That is, we integrate low/high and odd/even in one combinatorial design.

Let’s use the 5/24 lottery system to illustrate the process. We divide the 24 numbers into low and high sets.

 LOW 1,2,3,4,5,6,7,8,9,10,11,12 HIGH 13,14,15,16,17,18,19,20,21,22,23,24

Then we further divide the two sets into their corresponding odd and even sets.

 ODD EVEN LOW 1,3,5,7,9,11 2,4,6,8,10,12 HIGH 13,15,17,19,21,23 14,16,18,20,22,24

So the final sets are the following:

Below is how a Lotterycodex Combinatorial Design looks like for a 5/24 game:

Those four sets are all we need to calculate the combinatorial patterns. Then we can separate the best combinations from the worst ones.

The unique sets are crucial if we want to predict the best combinations with precision and accuracy.

#### Lotterycodex Patterns

The results of our combinatorial calculations are what we call Lotterycodex patterns. You will use these patterns as your guide for number selection.

For example, a pattern can be like 1-low-odd, 2-high-odd, and 2-high-even numbers. Combinations under this pattern are:

Knowing the composition of the combination is crucial in the calculation of probability. That’s why Lotterycodex patterns are so useful.

For example, let’s talk about 1,2,3,4,5 combination.

Of course, 1,2,3,4,5 shares the same characteristics with other combinations. The following combinations are all under the same pattern as 1,2,3,4,5:

• 1-7-9-4-10
• 3-5-7-2-6
• 1-5-9-8-12
• 1-9-11-2-10
• 3-7-11-4-8

Combinations like that fall under the pattern 3-low-odd and 2-low-even numbers. This pattern exhibits a probability value of 0.0070581592.

In simple terms, the pattern only occurs about seven times in 1000 draws.

Now, here’s the thing. 1-2-3-4-5 is equally likely as any other combination in the lottery.

But if you choose to play these consecutive straight numbers, then expect that your ability to hit the jackpot only comes around seven times in every 1000 draws.

Do you want proof?

Then see for yourself. Go to any 5/24 lotto game and check the previous results. You will see that a pattern of 3-low-odd and 2-low-even occurs approximately seven times in 1000 draws. The actual frequency may not be exact but notice the closeness in value. That’s how a random lottery obeys the dictate of probability.

That’s the wonder of combinatorics and probability. They work together.

Why do they work? Because mathematics is all about precision and accuracy.

You probably heard many lotto gurus suggest that you avoid the 1-2-3-4-5 combination with a sensible explanation of their own, except that they cannot justify their opinion with calculation.

It is probably the first time you will understand why a straight combination is such a bad idea from a mathematical perspective.

If you are a lotto player, you don’t want to waste your money on a combinatorial group with a very low probability.

In a 5/24 lotto game, some of the patterns have the worst probability value of 0.0001411632. This group only occurs once in 10,000 draws.

But here’s the thing. If you have been playing a 5/24 game for many, many years now, chances are, you have been playing combinations under the worst probability value. And you aren’t even aware of it.

So what’s the whole picture about the 5/24 lotto game?

There are 42,504 unique playable combinations in a 5/24 lottery game. Based on the Lotterycodex calculation, the 5/24 game has a total of 56 patterns.

Of the 56 patterns, 4 of them have a high probability of occurring. According to the law of large numbers, these high-frequency patterns are bound to happen more frequently and will continue to dominate other patterns as draw data gets larger and larger.

Best Patterns Middle Patterns Worst Patterns
Patterns #1, #2, #3, #4 Patterns #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16, #17, #18, #19, #20, #21, #22, #23, #24, #25, #26, #27, #28, #29, #30, #31, #32, #33, #34, #35, #36, #37, #38, #39, #40 Patterns #41, #42, #43, #44, #45, #46, #47, #48, #49, #50, #51, #52, #53, #54, #55, #56

If you are in it to win it, don’t choose patterns #5 to #56. Based on the table above, you should already know that your focus should be on #1, #2, #3, and #4.

#### Lotterycodex Patterns for a 6/49 Lotto Game

As I said, each lottery format has different combinatorial and probability calculations. In a 6/49 game, you can choose from 84 patterns.

Of the 84 patterns, only 3 are the best ones.

Best Patterns Middle Patterns Worst Patterns
Patterns #1, #2, #3 Patterns #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16, #17, #18, #19, #20 Patterns #21, #22, #23, #24, #25, #26, #27, #28, #29, #30, #31, #32, #33, #34, #35, #36, #37, #38, #39, #40, #41, #42, #43, #44, #45, #46, #47, #48, #49, #50, #51, #52, #53, #54, #55, #56, #57, #58, #59, #60, #61, #62, #63, #64, #65, #66, #67, #68, #69, #70, #71, #72, #73, #74, #75, #76, #77, #78, #79, #80, #81, #82, #83, #84

#### Lotterycodex Patterns for a 7/50 Lotto Game

If you are a Lotto Max 7/50 player in Canada, you should know that only 2 are the best ones of 120 patterns.

The table below applies to all 7/50 lotto games regardless of your country.

Best Patterns Middle Patterns Worst Patterns
Patterns #1, #2 Patterns #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #16 Patterns #17, #18, #19, #20, #21, #22, #23, #24, #25, #26, #27, #28, #29, #30, #31, #32, #33, #34, #35, #36, #37, #38, #39, #40, #41, #42, #43, #44, #45, #46, #47, #48, #49, #50, #51, #52, #53, #54, #55, #56, #57, #58, #59, #60, #61, #62, #63, #64, #65, #66, #67, #68, #69, #70, #71, #72, #73, #74, #75, #76, #77, #78, #79, #80, #81, #82, #83, #84, #85, #86, #87, #88, #89, #90, #91, #92, #93, #94, #95, #96, #97, #98, #99, #100, #101, #102, #103, #104, #105, #106, #107, #108, #109, #110, #111, #112, #113, #114, #115, #116, #117, #118, #119, #120

#### Lotterycodex Patterns for Other Lotto Games

Combinatorial and probability calculations can be quite complex. Also, the results of probability calculations are always different depending on the format of the lottery. There’s no one-size-fits-all calculator.

Be sure to use the right one for your favorite game.

If your lotto game is 5/69, then use the 5/69 calculator. If your favorite game is 6/49, then use the 6/49 calculator.

Sometimes, a lotto system has one or two extra balls or sometimes called bonus numbers. We don’t include the additional number in the calculation of probability because it is drawn from a separate drum.

For example, if your game is the Euro Millions or the Euro Jackpot, you pick five numbers from 50 plus two extra balls. Your calculator should be the 5/50 calculator. You don’t count the two extra balls.

For the US Powerball, you don’t count the one extra red ball. So the right calculator for the US Powerball is the 5/69 calculator.

For the Mega Millions, you pick the 5/70 calculator.

For Canada Lotto 6/49, you pick the 6/49 calculator.

Whatever your lotto is, always make sure to use the right calculator for your game.

The clue is simple. Know the primary numbers in your game, and don’t count the extra ball.

If you are ready to see the Lotterycodex patterns of your favorite lotto game, here is the complete list of Lotterycodex calculators for your perusal.

Key takeaways

• As a lottery player, your goal is to hit all the winning numbers.
• The only responsible way to play the lottery is to “save money” and do your best to “hit” the jackpot.
• To win the jackpot, you should get the best shot possible. The best way to do it is to pick your combination from the best combinatorial group that exhibits the highest probability of occurring.
• Lotterycodex calculation can handle both low/high and odd/even numbers altogether in one combinatorial equation.
• The best lotto numbers to pick are those that come from the best combinatorial group.
• Combinatorial and probability calculations can be quite complex. Also, the results of probability calculations are always different depending on the format of the lottery. Use a Lotterycodex calculator to save you from all these complexities.
• Be sure to choose the right calculator for the format of your lottery.

### Win the Lottery Mathematically

To win the jackpot, it doesn’t matter what individual numbers you choose to play the lottery. You can play those so-called unlucky numbers because the lottery doesn’t care whether they are true or not.

You can play special dates or birthdates as long as you know all the game possibilities that lead you to make the right choice.

What matters most is that you understand how randomness works. So I propose combinatorics and probability theory as the main mathematical tools for such a task.

Combinatorics and probability are not easy subjects to deal with, so Lotterycodex will save you from all these complexities. So don’t worry, you don’t need a math degree to win the lottery.

I have important reminders, though.

The lottery may be cheaper than any other form of gambling, but it might lead you to lottery addiction if you are not careful. 33

Ultimately, it’s the budget that will dictate how many lines you can afford to play. Remember that winning in the lottery takes a long streak of losses. That’s why patience, persistence, and perseverance play an important role. And if you play persistently, your expenses add up over time.

It’s essential to set a specific goal and implement that goal with money-saving habits. 34 As I said, this website is not here to tell you it’s easy to win the lottery.It’s not.

I am here to show you the facts. You must understand that the only way to hack the lottery is to buy more tickets. But make sure those tickets are the right choices. However, buying more tickets to play the lottery tends to become expensive and risky in the long run. Therefore, a lotto syndicate should save you in that regard. 35 , 36

But more than that, you need to look at the lottery as a whole.

So I propose the following dos and don’ts:

Dos

1. Play responsibly. The lottery is entertainment only. It’s not a substitute for a full-time job.
2. Use mathematics and strategize your lottery game. Learn how to take advantage of combinatorics and probability theory.
3. Make a gameplan. Failure to plan is a surefire plan to fail.
4. No time to calculate? No worries. Use a Lotterycodex calculator.
5. Buy more tickets to increase your chances of winning (but save money first).
6. Join or start a lotto syndicate to keep everything inexpensive.
7. Play a lottery with lower odds to win easily.
8. Wheel enough numbers. The bigger your selection size, the better probability you get.
9. Bet only with the best combinations. Lotterycodex is designed to separate the best combinations in your lottery game according to mathematics.
10. Accept that strange combinations do occur in lottery draws. True randomness must allow a peculiar event, coincidences, and even miracle to happen.
11. Save a little money for lottery entertainment. And put the bulk of your savings into your retirement fund.
12. Play the same list of combinations.

Don’ts

1. Don’t think it’s easy to win the lottery (it’s not)
2. Don’t predict the next winning numbers (you can’t)
3. Don’t beat the lottery’s odds (you can’t change the odds, but you can choose the better ones).
4. Don’t treat numbers and combinations the same way (they are different).
5. Don’t forget to check your results.
6. Don’t forget to invest in yourself and your future. Don’t rely on the lottery to better your life.
7. Don’t give up. In a random game such as the lottery, persistence can help. After all, the lottery is just for fun, so keep it fun.
Free Guide: The Winning Lottery Formula Based on Combinatorics and Probability Theory Last updated on December 20, 2020 Looking for a winning lottery formula? Well, mathematics remains the ]]>