How to predict lottery numbers mathematically
Published: 13:07 GMT, 20 March 2014 | Updated: 18:09 GMT, 20 March 2014
A Brazilian mathematician claims it is possible to predict the results of a lottery draw by applying complicated maths and probability theories.
Renato Gianella has found it is entirely possible to predict numbers which are more likely to appear than others, by following the same behaviour patterns as predicted by the Law of Large Numbers.
His study called The Geometry of Chance: Lotto Numbers Follow a Predicted Pattern, finds not all combinations of numbers have the same probability of occurring – so in short, it is possible to predict patterns of numbers with a greater chance of being drawn.
The mathematician behind the study has created a website which uses colour patterns to show number combinations which are more likely to win the lottery based on previous draws in 20 lotteries from around the world – but you may need more than GCSE maths to decipher the code
The study claims that there is a pattern which is applicable in all lotteries around the world, which can be worked out using a complicated coloured template.
Mr Gianella said ‘Lottery should no longer be seeing as a form of a gambling but a true representation of the probabilistic theory and the Law of Large Numbers.’
It isn’t however as simple as being able to pick the six most likely numbers to win the National Lottery, it is however possible to pick several combinations of numbers which are more likely to be drawn based on probability.
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The mathematician has a website www.lotorainbow.com.br/en/default.asp which allows people to view the likelihood of different numbers being drawn in 20 different lotteries around the world – but readers may need a maths degree themselves to understand it.
The maths behind the theory is based on previous draws and patterns which arise from them – previous draws dictate the future probability of certain number being drawn.
Combinations of certain numbers are more likely to win than others according to probability. In short not all combinations of numbers have an equal chance of being drawn – but it is still highly difficult to predict actual winning combinations
Lottery probability – how it works
If you toss a coin you have a one in two chance of getting a head but you might not get one at all. If you toss the coin many times you’re going to move more towards a 50/50 split of heads or tails (i.e. it’ll look more like the probability you’ve been given).
Combinations of certain numbers are more likely to win than others. So it’s about looking at the choices you’ve made as a whole rather than the individual numbers.
Rather than saying there are 12.271.512 different possible combinations Gianella reduced it to 210 coloured templates, which represent all combinations. He’s then worked out the likelihood of getting each of these combinations.
For example, If someone were to choose all low numbers (in the 1-9 range) they have a 0.0007% chance of their template coming up as there’s only 84 combinations of using these numbers.
But if they were to choose one across all the different colours (with two purples) they have a 2.6403% chance of their template coming up as there’s 324,000 different combinations that use these numbers.
The study says: ‘The frequentist notion states that the probability of a given event relates to the frequency at which such event is repeated. Additionally, as predicted by the Law of Large Numbers, when an event is repeated many times, the average of the results from all events should be close to the expected result. Thus, games of all kinds in which many repetitions occur (such as lotteries) are ideal labs for the study of probabilities. Now a new study shows that not all combinations of numbers have the same probability of occurring in a lottery draw.
‘The study is based on mathematics and probabilities theories applied to lottery drawings. It adopts a coloured template that determines all the possible combinations of numbers, as established by Pascal’s rule. The adoption of this coloured template provides an easier understanding, and correct identification, of the combinations of numbers with highest probabilities to win. Through experimentation, the method shows that it is possible to detect that the results of a lottery draw follow the same behaviour pattern as predicted by the Law of Large Numbers.
‘For instance, using the method proposed by Gianella, templates built on previous results from a number of lottery games in different countries show that as more draws are performed, the expected result of each template is closer to the observed result, indicating that a pattern for these combinations exists. Thus, the right choice of combinations can greatly increase your chances of picking the winning combination in your next lottery ticket.
‘The method was tested with more than 20 lottery draws all over the world, and in each case it demonstrates that the probability that a given group of combinations (defined according to the coloured template adopted) will occur is not the same for all groups of combinations and that there are groups that show a higher probability to win.’
The study by Brazilian Renato Gianella, is based on mathematics and probability theories applied to lottery drawings. Using a coloured template, Gianella determined all the possible combinations of numbers. He then used the templates to identify numbers that have the highest probabilities to win.
How to Win the Lottery According to Math
Last updated on December 20, 2020
Winning the lottery is a life-changing moment. Get that one good win, and you’re all set. But how to win the lottery? Well, since a magical button is not available, mathematics remains the only tool that can help. So if you want to hit the jackpot, you are lucky—things are looking up.
But before I talk about the good news, let’s discuss the bad news first. Once you understand the obstacle that prevents you from winning, it will be easy for you to develop a sensible lotto strategy — one that works.
Table of Contents
The bad news
The lottery is truly a random game. If we talk about randomness, it’s unpredictable, and you need perseverance, persistence, and patience to win the top prize.
Story short, winning the lottery is not easy. That’s why the lottery is considered a gambling activity.
The odds in favor of winning the U.S. Powerball 5/69 grand prize are one to 292 Million.
In Mega Millions 5/70, the odds are a monumental one to 302.6 Million.
And the worst odds I have seen so far are that of the South African and the Italian Superenalotto, where you choose from 90 numbers. To win in this kind of lottery format is the modern-day equivalent of wishing for a miracle.
Any statistician will tell you right off the bat, your chances of winning the lottery is so minuscule.
Many people say the possibility that you get killed by a shark is much higher than winning the lottery. 1 Of course, that’s not the whole truth. The truth, the probability that you meet the shark is zero when you don’t swim in the ocean. 2
Similarly, in the lottery, you have to be in it to win it.
So despite the enormous odds, why do people gamble in a lotto game?
One reason is the issue of availability bias. People think that winning seems very likely if they heard about recent lottery winners. 3
But how likely that you are going to win soon this year?
On average, it will take 292 million attempts to win the U.S. Powerball. If you play 100 tickets every week, then you need 2,920,000 weeks. That corresponds to 56,154 years (if you ever lived that long). You see, the risk of losing your money is very high.
So don’t take the lottery too seriously. Play just for fun. And the lottery is fun and quite interesting as I will prove it to you later.
The truth is that no one can beat the odds.
But like I said earlier, people do play anyway.
Like kids, adults play around too.
So occasionally playing just for fun and taking a shot at the tease of “What if I win” that comes with it is not a bad idea at all.
However, some people think that they have a smart solution to beat the odds of the lottery.
In fact, some people may go all the way out to rig the lottery with no success. 4
No perfect lottery hack will ever be produced to know the prior results of the lottery.
No machine can ever predict the exact winning number combination in the lottery.
Sure, a supercomputer algorithm can prove to be useful for saving us on the tedious task of combinatorial calculations. But definitely, it cannot predict the next winning numbers.
And lastly, no fortune teller or any psychic guy next door can help you.
So what can you do then?
Well, the answer is to have a good sense of mathematical strategy. And that’s the good news.
Let’s talk about what you can do to improve your number selection strategy.
The good news: winning the lottery according to math
Mathematically, you can increase your chances of winning.
By buying more tickets. That’s the only way to increase your chance of winning.
But buying more tickets is useless if you are making the wrong choices. This article will tell you exactly how to pick numbers and be mathematically correct.
Earlier, I mentioned that no one would have prior knowledge of precisely what will occur in the next draw. Not even by a paranormal creature (if that also exists).
So when magical help is not available, mathematics remains the only excellent tool that you can use to achieve lottery success.
I will reveal to you the many mathematical techniques you can use to improve your winnability. For the most part, we will deal a lot with probability theory and combinatorics.
With a little bit of math and a little bit of perseverance, you can play your game with the best shot possible.
And with “best shot,” we mean “making an intelligent choice” because a true mathematical strategy doesn’t talk about “guaranteed win,” especially in a truly random lotto game.
Fortunately, “making an intelligent decision” is possible using the tools of mathematics.
The information you’re going to discover below will provide you with a reasonable expectation of the lottery that will put you at a better advantage.
Let me remind you that calculations differ from one lottery to another. For illustration purposes, I will use the lotto 6/49 system for the most part.
By the way, in the free lottery guide, you will get to know the complete formula for lottery success to help you start your exciting journey on the right foot.
Meantime, let me give you a brief intro to some of the mathematical ways to play the lottery one by one. (Of course, I saved the best method at the bottom, so make sure you read the whole article)
Choose the lottery with better odds
If your objective is to win a huge jackpot like that of the U.S. Powerball or U.S. Mega Millions, then you will struggle with your chances of winning.
It would be best to go for a lottery that offers better odds even though it provides less jackpot. It is easier to win that way.
Although the jackpot prize of small lotteries may not be too exciting, it is still a big one to make a difference in your life. Isn’t it?
But how do you know which one gives you better odds?
The first factor is the number field—the lesser the number field, the better the odds. For example, a lottery with 42 balls is better than a lottery with 49 balls.
32 is better than 35, and 35 is better than 39. So of the three, 32 is the best. That’s simple.
The second factor is the pick size. The lesser the pick size, the better your odds of winning. For instance, a pick-5 game is better than a pick-6 lotto game.
When you consider the two factors together, you get a better picture of the game’s overall odds.
A 6/42 lotto system is better than a 6/49 game.
Similarly, a 5/42 game is better than a 6/42 game.
And a 5/35 lotto system is easier to win than a 5/42 game.
The table below will give you an idea of the odds of the lottery.
Based on the table above, the 5/20 system offers better odds for you.
So in your local lottery community, always choose a lotto system with fewer numbers.
But watch out for the extra ball. The extra ball may affect your chances of winning.
It takes many different names, depending on what games you are playing in. For the U.S. Powerball, it is called the “Powerball.” In Euro Millions, it’s called “lucky star.”
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 U.S. Powerball or the U.S. 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. A system like this makes the lottery a harder one to win.
For instance, the U.S. Powerball lets you pick 5 from 69 numbers. If not for the extra red ball, your odds would have been 1 to 11 million. But because you need to match the red Powerball to win the grand prize by choosing numbers from 1 to 26, your odds become 1 to 292 million.
How do we compute the odds of the lottery?
To compute the odds, first, we need to determine the number of possible combinations. To determine the total possible combinations, we use the binomial coefficients formula, which we regularly use in statistics and probability. 5
We express binomial coefficients using the following formula:
n = The size of the number field
r = the pick-size
Therefore, in a lotto 6/49 system, the total possible combinations are:
n = 49
r = 6
Total combinations = 13,983,816
From that given value, determining the odds is as simple as separating the number of ways you win and the number of ways you lose.
Therefore the odds in favor of winning the grand prize is expressed in:
Odds of winning the grand prize = 1 / (13,983,816 minus 1)
The formula means you have 1 way to win over 13,983,815 ways to lose.
The table below shows you the odds of the most popular lotteries in the world.
From the table above, it is Trinidad/Tobago Cash Pot 5/20 with the lowest odds. This lottery is an excellent game to play if you live in Trinidad/Tobago.
On the other hand, it is the Italian Superenalotto with the toughest odds to beat. The bigger the lottery’s number field, the harder it is to win.
Of course, a lottery with a huge jackpot is usually the hard one to win. It’s fun to imagine how it’s going to be like to live with huge millions in your bank account. That’s why people start with the lottery that pays out the biggest prize.
I suggest you define what you want in life. How much is big enough depends on you.
Ultimately, you choose the lottery game that is not too hard to win yet offers a jackpot prize that is big enough to change your life. There’s no reason to rush. Start with the low hanging fruits.
Don’t under-estimate the power of a lottery system with a small jackpot. It’s a big opportunity for you to win from a mathematical perspective. For example, the Lucky Day Lotto of the Illinois lottery doesn’t require an extra ball. With a starting jackpot of $100,000 that grows and the odds that are 239 times easier than the Powerball and 248 times than the Mega Millions, you might want to consider this game. At the time of writing, the jackpot of the Lucky Day Lotto is $350,000.
Choose your lottery game wisely.
Playing the lottery is like finding a needle in a haystack. The size of the haystack really matters.
Remember that odds and probability are two different terms
Once and for all, let’s correct the most common misunderstanding that puts most lotto players at a disadvantage.
I always encounter everywhere people say, “all combinations are equally likely.”
Of course, I agree.
There’s no question that a 1-2-3-4-5-6 combination is equally likely as any six numbers you can pick from the top of your head. That’s because there’s only one way to win a jackpot.
The same probability principle applies to everyone else picking numbers randomly.
This probability formula works in theory. But as a lotto player, you can’t embrace such one-sided calculation in practice. You have to move your numbers around and see if your math can find an advantage.
To illustrate, take a look at the following numbers below:
2-4-6-8-10-12 (multiples of two)
5-10-15-20-25-30 (multiples of five)
20-21-22-23-24-25 (six consecutive numbers)
If I ask lotto players to spend their money on those combinations, do you think they will do it?
Some of them may, but most people never will.
And that’s because most people do not trust their probability calculation.
Their gut feeling takes over.
If all combinations are equally likely, then why be afraid to spend money on those combinations.
You see, a gut feeling is not an acceptable explanation.
If you really want to win the lottery, you have to select your combination through strong mathematical reasoning.
When you have a strong mathematical foundation, you will always trust your calculation, and you will never doubt your choices.
So what is this mathematical foundation that will help you get the best shot in the lottery?
Well, it’s simple.
You have to understand the difference between ODDS and PROBABILITY. They are not mathematically equivalent. 6
Let me show you the difference.
Probability is the measurement of the likelihood that an event will occur. Mathematically, we express probability as:
Odds, on the other hand, are the ratio of success to failure.
We can translate the above equations in the following simple terms:
Now, I hope you see the point.
You cannot change the probability of any game.
You cannot beat the odds of the lottery.
BUT you have the power to choose and give yourself the best ratio of success to failure. The strategy is in the act of choosing.
In short, an intelligent choice of combination is all about choosing the type of combinations that will provide you with the best advantage (the best ratio of success to failure).
And how do you calculate your advantage?
Well, you look at the composition of the combination.
Let’s go back to the combination 2-4-6-8-10-12, notice that all these numbers are all even numbers.
In a 6/49 game, there are only 134,596 ways you can combine six numbers composed of purely even numbers. At the right moment, you have a 1 to 134,596 advantage of winning the jackpot prize.
However, because there are 13 million combinations involved in the entire 6/49 game, you don’t know when that right moment will be.
So mathematically, it means that you have 134,596 ways to match the winning combination against the 13,849,220 ways you will not. This gives you a meager ratio of success of 1 to 103.
From a layman’s perspective, it takes more than 100 draws before you get a winning advantage. And this choice of combination is an expensive strategy.
Now consider a well balanced odd-even combination.
3-odd and 3-even combinations
In a 6/49 game, there are 4,655,200 ways you can combine six numbers with 3-odd and 3-even composition.
That means you have 33 opportunities to match the winning numbers every 100 times you play the lottery. Thus, you get closer to the winning numbers with a ratio of 1 is 2.
As you can see, while all combinations have the same probability, these distinct combinations can be further divided into combinatorial groups based on their composition. Each group exhibits a certain measure of advantage:
|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|
|You get only 1 opportunity to match the winning numbers out of 104 attempts||You get 33 opportunities to match the winning numbers out of 100 attempts|
|High ratio of FAILURE||High ratio of SUCCESS|
|Worst choice||An intelligent choice|
Take note that the purpose of paying attention to the combinatorial pattern is to get you closer to the winning numbers.
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.
It’s not easy to win the lottery. But if you choose to play the lottery with a better ratio of success to failure, you’re putting yourself closer to winning the jackpot prize.
Playing the lottery is like catching fish where the fish are.
Be thankful that the lottery is truly random
Why do you have to be thankful?
That’s because we can be sure 100% that any mathematical calculation we make is precise and accurate based on the law of large numbers.
Any external force that will disturb the random nature of a lottery game will distort the validity of any probability calculations we make. We might as well throw away what we have learned from our math teachers.
Remember the rule. All random events are subordinate to the dictate of probability theory.
What does it mean?
It means that the lottery is “mathematically predictable” to an extent.
There are only two types of processes. The process is either deterministic or random. If you combine the two, then it becomes probabilistic.
That means you can calculate your best choices. And you won’t be mathematically wrong because, in a random event like the lottery with finite possibilities, the actual results always agree with mathematical prediction. (You will see the proof later)
Now, I am not here to give you an illusion of control. 7 The lottery is mathematically predictable, which doesn’t mean we can predict the next winning numbers. You cannot predict the next winning numbers. No one can. 8
And hey, the predictability of the lottery doesn’t contribute to your profitability. The lottery is never a profitable exercise. It’s gambling, and you play just for fun, not for profit.
But with probability theory, we can plan a better game strategy based on the law of large numbers. 9
A truly random lottery suggests sensible tips on how not to be mathematically wrong when you try to win the game. See A Visual Analysis of a Truly Random Lottery with Deterministic Outcome.
The idea is simple. You can use probability theory to choose the best combination and be confident that you’re not mathematically wrong for most of the time.
Based on the varying probability measurements in each group, We can separate the best combinations from the worst ones.
And what makes mathematics so fascinating is that any probability prediction we make agrees with the actual results. (I’ll show you the proof below)
It’s not magic. It’s the power of mathematics.
Fortunately, the probability principle works in all lottery systems.
Below is an example of how applied probability theory can predict the 5/50 lottery game.
5/50 Lotto Game
In a 5/50 lotto game, there are a total of 56 patterns. Two of these patterns exhibit the best probability.
Of course, the same probability principle works for all lottery systems regardless of the format. We will talk about these advanced patterns in detail below under combinatorial patterns.
Since the lottery follows the dictate of probability, you can be sure that a mathematical prediction will always put you on the right track. These calculated choices are possible because the lottery is truly random.
Don’t pick numbers blindly. You have to see how randomness works in a lottery game.
Play less draws to save money so you can buy more tickets
Do you know what FOMO means?
It stands for “fear of missing out.”
And that’s the main reason some people tried not to miss out on the opportunity by playing every draw as much as possible.
FOMO is a big deal because you worry that your numbers may come up if you don’t play.
True. That may happen. But most likely not.
The likelihood that your numbers will come out is about 1 in 292 million (if you play the U.S. Powerball).
So, FOMO, as far as the lottery is concerned, is pure “irrational fear.”
Again, you must understand the odds. If you play just one ticket per week, it will take you 5.6 million years to win. So winning may not happen to you in your lifetime.
The best thing you can do is to save your money until you can buy more tickets.
More tickets will give you more probability of winning. And that is especially true when you employ the principle of covering. We will talk more about this covering principle in the lottery wheels section below.
Briefly, let me explain how more tickets work from a mathematical point of view.
For illustration, we will use the lotto 6/49 system. But regardless of the lottery format, the basic concept is the same.
If you buy one ticket, then your probability of winning is 1 in 14 million.
So if you buy two tickets, you double your probability of winning, which is 1 in 7 million.
As you go on buying more tickets, the probability that you hit the jackpot prize is improving.
So how could this thing possibly work?
The way to explain this is through the use of probability theory. 10
Earlier, I have introduced you to the probability equation. Let me remind you of the basic formula:
Since there are 13,983,816 total combinations in a 6/49 lottery and there is only 1 favorable combination to win a jackpot, hence we calculate the probability as follows:
In probability theory, we measure the probability between 0 and 1.
Usually, we use a percentage to express probability. For the laymen, we also use the fractional presentation with numbers rounded off for simplicity.
So in layman’s terms, it’s 1 in 14 million chances.
When you buy two tickets, the probability becomes 2/13,983,816 or 1 in 7 million.
When you buy ten tickets, your probability of winning becomes 10/13,983,816 or 1 in 1.4 million.
In other words, more tickets equal more probability of winning
As the probability gets closer to the value of one, your chances of winning get improved.
I hear someone asking, “Edvin, are not the probability of playing one ticket in ten separate draws the same as playing ten tickets in one draw?”
Of course, mathematically they are the same.
10/13,983,816 = 10 x (1/13,983,816)
However, playing one ticket each draw won’t allow you to use the power of covering. Covering is such a powerful mathematical method in combinatorics that can dramatically improve your chances of winning.
The table below will show you the probability of winning the jackpot based on the number of distinct tickets you play on a lotto 6/49 system.
Notice that I put zero on the first line to indicate that if you don’t buy a lotto ticket, then winning is impossible.
On the other hand, if you play all the 13,983,816 unique combinations, the probability of winning the lottery is a sure thing.
Of course, buying all the tickets is something that is not achievable. Somewhere in the middle, you’ve got to define how many tickets you can afford to buy.
And when I say afford, I mean the money that you can afford to lose for the price of FUN. Remember, the lottery is a random game.
Let me remind you, even buying hundreds or thousands of tickets doesn’t guarantee winning the jackpot. Just take it from a group of MIT students who played the Massachusetts Cash WinFall lottery for over seven years. They had been buying as much as 80% of the tickets, and yet they didn’t win a single jackpot prize during their time. 11
The group, nonetheless, had profited about $8 Million over a span of 7 years. Their objective was quite simple. 12 They were targeting the smaller prizes during the roll-down draw. 13
Now, probability analysis differs for each lottery format. So U.S. Mega Millions 5/70 have different probability calculations from the Powerball 5/69.
The table below shows you the calculation for different lotteries.
Save money so you can play more lines.
Understand your lottery and its expected value
So you tell everyone in your lottery syndicate team – “Ok folks, let’s buy more tickets because this strategy increases our chances of winning.”
You haven’t heard the aspect of expected value or EV yet.
So, what is EV?
The EV or expected value is the gauge that tells you when the lottery is profitable and not.
For illustration, let me use the U.S. Powerball as an example.
When writing this article, the U.S. Powerball is at an estimated jackpot of $384 Million.
Therefore at $2 per ticket, my calculation for EV is a negative $0.37.
The U.S. Powerball expected value at $384 million jackpot
The table shows that EV is a negative one, so it tells me that it’s not going to be profitable when you play the U.S. Powerball at a $384 Million jackpot prize.
Compare that EV at the time when the U.S. Powerball reached the $1.5 Billion mark in January of 2016. We can see a huge improvement in EV.
The U.S. Powerball expected value at $1.5 billion jackpot
The table above tells that playing Powerball in January 2016 is “probably” a good idea.
EV provides an overall idea of how profitable a game will turn out in the long run.
Positive EV means a profitable game.
Negative EV means a losing endeavor.
But wait a minute.
You’ll probably think that the only time you get into a ticket-buying frenzy is when the lottery is at its positive EV. Right?
Positive EV doesn’t always end up a positive one
While theoretically, a positive EV is a good signal for buying lotto tickets, in practice, a positive EV doesn’t always give you positive returns.
You add other factors such as taxes, the annuity, the cash option, the possibility of splitting the jackpot prize, and you’ll end up with a negative expected value.
An analysis by the Business Insiders team of the Powerball $1.5 Billion jackpot shows a negative expected value of -$0.25 after the tax is taken out. 14
In short, a positive EV in the lottery rarely happens. Realistically, the lottery always yields a negative expected value.
Therefore, playing the lottery can never substitute for a real job to earn a full-time income. The lottery is truly a gambling activity and must be considered only for fun and excitement.
The positive expected value only works when a lottery has a roll-down clause. This lottery loophole made those MIT students profited from the Massachusetts Cash WinFall for 7 years. See the lottery guide on how this roll-down clause works in your favor.
EV calculation differs from one lottery to another, and it depends on the payout.
So the next time you play, try to ask yourself: “Do I have a positive EV?” Get some pen and paper and get your math done.
Since the expected value of the lottery is always negative, make sure to play only the money that you can afford to lose.
Make balanced odd and even numbers in your combination
Did you know that odd and even numbers in your combination matters?
When you fail to count the odd and even numbers in your combination, it hurts your chances of winning.
To understand the probability of a combination based on odd and even numbers, we need to take it from the context of number patterns.
In this case, we need to find the many different ways odd and even numbers are combined to form a combination.
In a lotto 649 system, there are 7 ways you can combine numbers with odd and even numbers.
|6 odd and 0 even||3 – 7 – 19 – 21 – 33 – 41|
|5 odd and 1 even||5 – 9 – 13 – 23 – 31 – 42|
|4 odd and 2 even||1 – 4 – 11 – 28 – 39 – 45|
|3 odd and 3 even||6 – 9 – 18 – 23 – 31 – 42|
|2 odd and 4 even||9 – 10 – 22 – 24 – 33 – 40|
|1 odd and 5 even||3 – 6 – 22 – 28 – 36 – 46|
|0 odd and 6 even||2 – 4 – 12 – 20 – 30 – 42|
The next question now is which of these odd-even patterns is the best to play in the lottery.
And the way to find out the answer is through the use of probability theory and combinatorial math.
To find the probability, we need to find the number of favorable combinations we can produce out of each pattern.
Again, we use the binomial coefficient formula to determine the number of favorable combinations for each pattern. Here’s the complete table below:
|Pattern||Number of combinations|
|6 odd and 0 even||177,100|
|5 odd and 1 even||1,275,120|
|4 odd and 2 even||3,491,400|
|3 odd and 3 even||4,655,200|
|2 odd and 4 even||3,187,800|
|1 odd and 5 even||1,062,600|
|0 odd and 6 even||134,596|
Adding all those favorable outcomes will represent the 13,983,816 possible combinations in a lotto 6/49 system.
To get the probability of each pattern, we use the same probability formula described earlier. Therefore, the probability of these odd-even patterns are as follows:
|6 odd and 0 even||0.012664640324215||1.3%|
|5 odd and 1 even||0.091185410334347||9.11%|
|4 odd and 2 even||0.24967433782023||24.9%|
|3 odd and 3 even||0.33289911709365||33.3%|
|2 odd and 4 even||0.22796352583587||22.8%|
|1 odd and 5 even||0.075987841945289||7.6%|
|0 odd and 6 even||0.0096251266464032||0.9%|
The probability table means that the 6-odd-0-even combinatorial group only has a 1.3% chance of getting drawn. And this is the worst odd and even pattern as far as the 6/49 game is a concern.
It would be best to focus on the 3-odd-3-even pattern.
Now, I can hear a crowd screaming, “But Edvin, all combinations in the lottery have the same probability, haven’t they?”
Of course, we already know, all combinations have the same probability. That’s because there’s only one way to win the jackpot prize.
So a combination such as 2-4-6-8-10-12 carries the same probability as any balanced 3-odd-3-even lines.
But don’t forget the concept of odds.
We have explained that probability is the measurement of the likelihood that an event will occur. Mathematically this measurement can be obtained by dividing the number of favorable events by all possible combinations.
On the other hand, odds are expressed mathematically as:
In other words, odds are the ratio of success to failure:
In the case of the 0-odd-6-even versus 3-odd-3-even pattern, we can clearly see a huge difference in the odds.
A purely 6-even combination will give you the odds of 1 to 134,595, but be aware that this advantage will happen only once in 100 draws. In other words, your chance to win the jackpot only occurs every 100 attempts. And you don’t want to waste your money that many times. Do you?
In comparison, a 3-odd-3-even combination will put you closer to winning the jackpot prize every 3 draws.
Based on our calculations of the 6/49 game, we can group the patterns into best, good, bad, and worst:
|3-odd-3 even||4-odd-2-even||5-odd-1 even||6-odd-0-even|
|2-odd-4 even||1-odd-5 even||0-odd-6-even|
There’s no point wasting your money on patterns that only give you less opportunity to be closer to the winning numbers.
You better pick a 3-odd-3-even combination because this pattern gets drawn 33% of the time. Meaning, for every 100 draws, you have the chance to match all the winning numbers approximately 33 times instead of only once.
To win the lottery, you have to keep your combination as close as possible to the type of combination that gets drawn more frequently.
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 shouldn’t 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.
That’s how probability theory helps. It provides a reliable guide on how to pick lotto numbers with the best shot possible.
Of course, you don’t get any prize by matching the pattern. You only win when you match all the numbers.
What you want to do is use these odd-even patterns to get the best ratio of success to failure and guide you closer to the winning combination.
Keep in mind that probability theory is only a guide.
Probability doesn’t tell you exactly what will happen. But it does give you a hint of what the outcome will most likely be in the future.
Let me show you a probability study I have conducted on a real lottery system.
TattsLotto 6/45 analysis: theoretical prediction versus actual lotto results as of February 1, 2020
The comparison graph below shows you the probability prediction compared to the actual 734 draws of the Australian TattsLotto game.
The data were collected from January 7, 2006, to February 1, 2020.
This comparison graph proves that a probability estimation is an excellent tool for guiding lottery players.
As you can see, the probability estimation matches exceptionally close to the actual 734 TattsLotto draws.
As I have said, the probability calculation is different for each lottery system. For a 6/45 system, the probability for the 3-odd-3-even pattern is 0.33484590659860100.
Based on that probability value, it tells that a 3-odd-3-even pattern is expected to occur about 246 in 734 draws of the TattsLotto.
We do the estimation by multiplying the probability by the number of draws.
Estimated frequency (3-odd-3-even)
The actual results of the Tattslotto from January 07, 2006, to February 1, 2020, show that 3-odd-3-even occurred 229 times, and we estimated about 246 times. It’s not exact, but the prediction is very close.
Looking at the comparison graph above, the agreement between prediction and actual observed frequency is clear with one quick look.
What does this comparison table tell you?
It tells you that you can literally predict the lottery (to an extent).
But don’t get me wrong. I mean by lottery prediction that you can determine what types of composition are most likely going to occur more frequently and how many times they are more likely to occur at a given number of draws.
More proof from actual lottery draws
Probability is a mathematical tool, and it’s the best tool we can use to predict how the lottery will behave in the future.
You don’t need the past lottery results to know what works in the lottery.
We only need two variables to calculate the best type of combinations.
For instance, in a UK Lotto 6/59 format, the variables are:
Those two variables are enough to calculate probabilities.
The good thing about mathematical calculation is that you can prove it.
And the best way to prove calculation is to compare it with the actual lottery results.
For example, we use the probability value to estimate the likely outcome of certain lotto number patterns at a given number of draws.
Expected Frequency = (Probability) X (Number of draws)
We then compare our estimation from the actual lottery results. To prove that our calculation is correct, it must follow this one simple rule:
The expected frequency should closely match the observed frequency with a sufficiently large sample of draws.
You have already seen my probability analysis for the Tattslotto 6/45. The study shows a close match between the expected frequency and the actual frequency.
But the study is not just coincidental. The truth is that probability theory applies to all kinds of lottery systems. Below are more proofs from other lottery systems:
Euro Jackpot 5/50 odd-even analysis: prediction versus actual draws as of January 31, 2020
Euro Millions 5/50 odd-even analysis: prediction versus actual draws as of February 4, 2020
Irish Lotto 6/47 odd-even analysis: prediction versus actual draws as of February 5, 2020
U.S. Powerball 5/69 odd-even analysis: prediction versus actual draws as of February 5, 2020
Did you notice how close probability predictions are to the actual results of the lottery?
If you did, great. That is the power of mathematics.
When picking lotto numbers, make sure that you balance the mixture of odd and even numbers.
Make a balanced mix of low and high numbers in your combination
Like odd and even numbers, you have to make sure that you have balanced low and high numbers in your combinations.
Again, to calculate the probability, we have to take everything from the context of number patterns.
This time, let’s make use of a 5/69 lotto game. A famous example of a 5/69 game is the U.S. Powerball.
To start, let’s divide the 69 numbers into two sets:
Low numbers =
High numbers =
We have to know the number of ways by which we combine low and high numbers.
So here are the possible patterns:
- 5 low and 0 high
- 4 low and 1 high
- 3 low and 2 high
- 2 low and 3 high
- 1 low and 4 high
- 0 low and 5 high
We determine the number of favorable combinations for each pattern as follows:
|Pattern||Number of combinations|
|5 low and 0 high||324,632|
|4 low and 1 high||1,780,240|
|3 low and 2 high||3,671,745|
|2 low and 3 high||3,560,480|
|1 low and 4 high||1,623,160|
|0 low and 5 high||278,256|
Next, we need to calculate the probability.
Some lottery systems require no extra ball, but some games, such as the U.S. Powerball, need an extra ball to win the jackpot.
In both cases, we will only use the primary balls, which are the 69 balls from the first drum. Therefore, the total number of possible combinations in a 5/69 game is 11,238,513.
Here’s the probability table for low and high number combinations for a 5/69 game.
|5 low and 0 high||0.0288856719745753|
|4 low and 1 high||0.15840529792509|
|3 low and 2 high||0.326710926970499|
|2 low and 3 high||0.31681059585018|
|1 low and 4 high||0.144428359872876|
|0 low and 5 high||0.0247591474067788|
Based on the probability table, we can predict the likely outcome of the U.S. Powerball 5/69 in 100 draws.
|Pattern||Expected occurrence in 100 draws||Group|
|5 low and 0 high||2||worst|
|4 low and 1 high||16||bad|
|3 low and 2 high||32||best|
|2 low and 3 high||32||best|
|1 low and 4 high||14||bad|
|0 low and 5 high||2||worst|
Based on our probability estimation, we now know that two patterns in the U.S. Powerball come out better than the rest of the patterns.
Below is a comparison graph showing the probability prediction versus the Powerball game’s actual lottery draws as of February 5, 2020.
U.S. Powerball 5/69 analysis: probability prediction for the low-high patterns versus actual results as of February 5, 2020
As I said, it’s not coincidental. The Probability theory applies to all lottery systems.
Take a look at the graph for the U.S. Mega Millions game below:
U.S. Mega Millions 5/70 analysis: probability prediction for the low-high patterns versus actual results as of February 4, 2020
Again, it doesn’t make sense to choose your numbers based on the worst patterns.
Pick your numbers to match the pattern that appears more frequently.
In this case, the best low-high number patterns in any pick-5 lottery games are the 3-low-2-high and the 2-low-3-high number patterns.
Choosing a 3-low-2-high combination instead of a 5-low combination (e.g., 1-2-3-4-5) WILL NOT increase your chances of winning because all combinations are equally likely. But based on the calculation of odds, you should avoid 1-2-3-4-5 because a 5-low-0-high pattern has fewer ways to win and more ways to fail. I recommend choosing 3-low-2-high because it offers the best ratio of success to failure.
It pays to know the probability of your combinations through combinatorial patterns. In the next section, I will introduce the most powerful combinatorial patterns that will serve as your guide.
However, the majority of the lottery players are not paying attention to combinatorial patterns. So the problem, they aren’t aware that they are playing the worst combinations.
When you pick lotto combinations, try to make a balanced mixture of low and high numbers.
Use advanced combinatorial and probability analysis
Now, I have explained the odd-even and low-high patterns. But these basic types of combinations barely scratch the surface.
Probability analysis can be problematic and quite confusing.
For example, a combination such as 1-2-3-4-5-6 falls under the 3-odd-3-even pattern. Therefore 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 composed of purely low numbers and no numbers coming from the high group possesses one of the worst probabilities.
So evidently, when you deal with two separate analyses, you will be presented with two contradicting viewpoints.
Therefore, we must find a way to integrate the two analyses and provide only one solid recommendation.
Thankfully, there is a solution. The solution is to use advanced combinatorial and probability analysis.
The method is to put all factors together into one combinatorial equation. The results of this combinatorial integration are called Lotterycodex patterns.
Using these advanced patterns, we can determine the best, the bad, and the worst types of combinations in any lottery game.
The number of advanced patterns depends on the format of the lottery.
Let’s talk about some examples of these advanced combinatorial patterns below.
Getting the best shot possible through Lotterycodex patterns
It’s important to understand that “choosing the right pattern will not win you any grand prize.”
But these patterns are an excellent guide to help you pick numbers with the best shot possible.
The tables below are the list of combinatorial groups in each corresponding lotto format.
The 5/32 Lotto Game
(Applicable to Idaho Weekly Grand, Colorado Cash 5, Super Kansas Cash, and all 5/32 games)
The 5/39 Lotto Game
(Applicable to California Fantasy 5, Maine Gimme 5, Missouri Show Me Cash, and all 5/39 games)
The 5/60 Lotto Game
(Cash for Life in Florida, Georgia, Indiana, New Jersey, and all 5/60 games)
Keep in mind that these patterns will help you get closer to the winning combination. We are using mathematics to get the “best shot” possible.
Remember, no one can claim the best strategy to win the lottery; all we can do is get our best shot. And mathematics remains the best tool for the job. So in our case, we use combinatorics and probability theory to guide us.
For example, in the U.S. Mega Millions, pattern #52 is calculated 3 times in every 1,000 draws. But lottery players keep wasting their money on this number pattern.
In Tattslotto 6/45, pattern #68 is calculated to occur 2 times in 1,000 draws. But lotto players blindly fall on this bad pattern when they pick numbers at random.
In a 5/35 lotto system, it’s better to play a number pattern that occurs seven times in every 100 draws rather than using pattern #49, which only happen three times in 1,000 draws.
The idea of using the Lotterycodex pattern is straightforward.
There’s no point wasting your money on combinatorial patterns that occur once in a blue moon. Why waste your money on a number pattern that only appears once in 10,000 draws? Remember that your goal is to get the best ratio of success to failure.
I can almost guarantee, the majority of the players are wasting their money on many of these lousy number combinations. You are probably one of them, but you don’t even know it.
You can’t fix something you don’t know exists.
It’s high time that you know and be aware of all the types of combinations that will lead you to lottery success.
Don’t worry, you can use a calculator that will help you along the way. Let’s talk about that in the next section.
Being mathematically right in a truly random game means choosing the best ratio of success to failure. Lotterycodex patterns help provide that intelligent decision.
Use a lottery wheel that uses combinatorial math and probability theory in one system
The lottery wheel is a popular and effective tool, and technically it works.
A lottery wheel is based on a mathematical principle of covering.
There are many kinds of lottery wheeling systems. The most popular are the full-wheel, the abbreviated-wheel, and the filtered-wheel.
Several lottery operators provide an option for players to play the full-wheeling system. In Australia, they call it system play.
The full-wheeling system allows you to pick more numbers. If you choose to play system-7, then you pick seven numbers.
For instance, in a pick-5 lottery game, if you pick seven numbers: 8, 16, 17, 21, 24, 25, 36, then the system will produce a total of 21 possible combinations for you based on these seven numbers.
Suppose the numbers 8, 17, 24, and 36 are drawn, then the system provided you with two 4-matches and nine 3-matches.
With the full wheeling shown above, you lose on 10 tickets, but at least you win on 11 of them.
The disadvantage of the full-wheeling system is that it tends to become expensive when selecting more numbers. The more numbers you choose, the more combinations you need to buy for maximum win coverage.
For instance, if you select ten numbers, then it will produce 252 possible combinations. If you pick 12 numbers, then the possible combinations will increase quickly to 792.
So again, it comes down to how many combinations you can afford to buy.
The abbreviated and the filtered wheel allows you to reduce the combinations for budgetary reason.
But number-wheeling systems can be better than that.
So, I created a calculator that will not spoon-feed you with a list of combinations to play. It’s a tool that will help you understand how the whole lottery works as a whole.
I want to discuss how the calculation works in a separate free guide. We didn’t hide the secret, and it’s free for the public to see. We reveal the formula to use, so if you’re good at calculating numbers, you are good to go.
If you are ready to know, click the button below.
Lotterycodex is the only lottery wheel online that uses combinatorial math and probability theory in one system to separate the best group of combinations from the worst ones. It will allow you to see all the possible choices in your game and guides you to make intelligent choices.
Use Lotterycodex calculator to make intelligent choices
Know when to skip the lottery
Do you know that probability theory also provides information as to when you should skip the lottery?
That’s why probability theory is so essential for all lottery players.
Now, take note that probability cannot provide information as to the perfect timing. It’s not possible.
However, probability helps you to know if a specific draw is going to waste your money or not.
That information is too significant to take for granted.
For instance, once a pattern occurs in yesterday’s draw, you know it’s not likely to happen again in the next draw.
It may happen, but most likely not. At least that’s how it works most of the time.
But to understand how the lottery works, we have to see the bigger picture.
Let me explain that bit by bit.
Each lottery draw is independent
The lottery is a random game. That’s true.
Each drawing in the lottery always provides random results that are independent of the past draws.
That means yesterday’s number combination may likely reoccur again in the next draw.
And no matter how improbable, it is still possible that the same number pattern may reoccur in 5 draws in a row.
In a truly random game, we do not know what’s going to happen.
That’s because the past draws will not have any effect on the current draw.
That’s the exact opinion of many people saying that the lottery has no memory. This belief crippled a lot of lotto players for centuries. But we will shed light on this later on.
First, each drawing in the lottery is just a small part of a larger picture.
Many people fail to see how the lottery works as a whole. They only see what happens in a draw.
There are physical laws that govern the universe.
In the same way, laws of mathematics govern the lottery.
So don’t just look at the lottery from a small number of draws. Try to understand how the lottery works as a whole to see the larger picture.
So what is this law in mathematics that governs the lottery? We are speaking of the law of large numbers.
The law of large numbers
The law of large numbers states that given enough trials, the actual outcomes always converge on the expected theoretical outcomes. 15
As draws continue to take place in the lottery, the lottery follows a particular path as dictated by theoretical probability.
Again, I would like to emphasize that lottery prediction is from the context of “combinatorial patterns.”
As we have demonstrated already, we have shown that we can predict the best type of combination in the lottery.
This prediction is possible because each type of combination holds a probability value that when tested over enough draws (large trials or draws), the lottery’s actual results always closely match the theoretical calculation.
That’s the mathematical law. The actual results will take place as predicted by probability.
More proof that the actual draws agree with probability prediction
Let’s take a look at another comparison graph to illustrate my point.
The graph below is a probability study I have conducted for the UK Lotto. The data were collected from October 10, 2015, to February 5, 2020.
We have proven it over and over. The graph shows an agreement between the estimated frequency and the actual frequency.
From the table above, the pattern 3-odd-3-even has a probability value of 0.3292514800097320.
It means that in 449 draws, this pattern may occur about 148 times.
However, in the actual draws, this pattern occurs 137 times.
It’s not exact, but it’s very close. And that’s the very nature of probability estimation.
If you look at the other patterns, you will see that all probability predictions match the actual results.
What do all these probability calculations try to prove?
It proves that given a large number of draws, the lottery must follow the dictate of probability. A predictable trend that even lottery officials cannot change or control.
But you can use the theory of probability to guide you in the right direction.
You cannot change the underlying probability, and you cannot beat the lottery’s odds, but as a lotto player, you have the power to make the right choice. Even choosing not to play is a strategy by itself.
So here is the main point:
No matter how random and independent its draw may seem to be, the lottery as a whole follows a definite path as dictated by the principle of probability.
Following the principle of the law of large numbers, as the lottery draw takes place to infinity, the convergence of expected frequency and actual frequency becomes more and more apparent.
So when we have to study the lottery how it works as a whole, we enter into the realm of the law of large numbers. And therefore, the issue that each draw in the lottery being independent becomes irrelevant.
This big concept in the lottery is essential because when you see the whole picture, you know how to play and be smart for the majority of the time.
And one of the smart moves you can make is the strategy of “timing.”
So let’s talk about timing now
Ok, the LLN does not help you win the lottery per se.
It just helps you understand why probability theory and the law of large numbers is so relevant for lotto players.
So aside from determining the best type of combinations, probability theory can provide useful information on when not to play your chosen combination.
For example, in a 5/35 lottery system, one pattern has a probability of 0.0748539885. What this means is that this pattern occurs seven times in 100 draws.
So this pattern occurs about 14 draws in between. If this pattern appeared yesterday, it tells you not to waste your money on the succeeding 8 draws using the same number pattern.
Of course, the same pattern may reoccur on the succeeding draws. It may reoccur in 3, 4, or 5 draws in a row. But the probability that it may happen is so minuscule because the law of large numbers has to take effect.
Since we understand how the lottery works as a whole, we have probability theory to guide us on how to deal with this randomness and still make better decisions for most of the draws.
And because the probability cannot tell the right time to play, your intuition should tell that maybe you can start to play on the 8th or 9th draw. Again we don’t know. But thankfully, we have a probability principle to give us a clue.
So the number of draws you are not playing because you know your chosen pattern is not due is a huge money saver.
What you can do is use this opportunity to set aside money, so you can play more lines when your chosen pattern is ready.
You don’t need to play every draw. Know when to skip and when to play.
Avoid the Improbable
One of the famous quotes of Sherlock Holmes says:
Eliminate the impossible; whatever remains, however improbable, must be the truth.
Earlier, we discuss that in probability theory, zero indicates impossibility, and one means a certainty. That explains why when you don’t buy a ticket, it’s impossible to win a jackpot prize, and it’s crazy to expect to win any prize.
When you buy a ticket, it’s either you win or lose. And that depends on how you make a decision. If you don’t know the possible choices, some of your decisions might turn out to be leaning towards the losing side. It’s important to know what’s probable and what is improbable.
Sherlock Holmes reinforces the fact that even improbable things can occur.
True, improbable events indeed occur in the lottery. Therefore one might say it’s okay to pick an unusual combination. Right?
I’ll explain why.
Perhaps the most popular combination that epitomizes the consecutive pattern group is the infamous 1-2-3-4-5-6.
According to a report by TheGuardian, about 10,000 people are playing this type of number combo every draw. A massive number of players will bring home about £400 each should this combo happen in a draw. 16
But aside from that, a combination of this type can come in different flavors such as the following:
|Two sets of consecutive numbers||1-2-3, 40-41-42|
|Three sets of consecutive numbers||1-2, 30-31, 50-51|
|Three sets of consecutive numbers in one group||11-12, 15-16, 18-19|
|Two sets of consecutive numbers in one group||30-31-32, 37-38-39|
|Four consecutive numbers||1, 66-67-68-69|
All these seemingly improbable combinations are not impossible to occur as history shows strange winning numbers occur in real lottery draws occasionally.
It’s not surprising to see winning numbers containing three or four consecutive numbers. And we shouldn’t be surprised to witness winning combinations containing numbers from one number group.
Mathematically, all these unusual winning numbers “must occur” because according to the law of truly large numbers or LTLN, unusual things, outrageous events, and coincidences can occur if given abundant opportunities. 17
But just because unusual numbers can be winning numbers doesn’t mean you must pick your numbers the same way.
As a smart lotto player, your main objective is to follow the probable trend based on the law of large numbers.
Please don’t be confused between the law of truly large numbers and the law of large numbers. They are two different laws. The law of truly large numbers (LTLN) explains why unusual events occur in all random events. On the other hand, the law of large numbers (LLN) concludes the lottery’s general outcome based on a large number of draws.
It is the conclusion of the law of large numbers that matters to you.
Let me show you the actual results of real lotteries and see if you can spot a trend. You don’t need to understand how LLN works for now, but by looking at the tables below, you will get some idea of why you should avoid improbable combinations at all costs based on the trend.
Watch out for regularity
Another type that you should avoid at all costs is the combination that exhibits regularity in patterns.
For example, combinations with equal intervals are unlikely winning combinations to occur.
Or a combination where the interval is increasing at the same rate.
Out of balance combination
Winning numbers in a random draw tend to balance across the number field. And therefore, probability says that you should pick combinations to represent number groups in a balanced way.
Here are some examples of out-of-balance combinations:
|7-23-24-26-28-29||Groups 10-19, 30-39, 40-49 are not represented|
|5-7-11-14-16-19||Groups 20-29, 30-39, 40-49 are not represented|
|10-12-15-16-18-19||Numbers belong to only one group|
|40-41-42-43-44-45||All numbers belong to only one group and all consecutive|
|1-2-3-30-31-32||Two sets of consecutive numbers from two groups|
We don’t say that an out of balance combination has no chance of occurring in a lottery draw. We say that according to probability, this kind of combination is highly improbable and therefore not a good bet.
Those I mentioned above are just the tip of the iceberg. In short, there are millions of improbable combinations in the lottery.
If you have played the lottery for many years, you’ve probably wasted your money on one of these improbable groups.
Avoid the improbable. Always pick your combination from a group with the best ratio of success to failure.
Don’t use statistics to predict the outcome of the lottery draws
For decades, many lotto players think that the way to understand the lottery is through statistics. They collect the past 100 results, and they derive predictions out of what they have observed.
However, applying the method of statistics in the lottery often fails because it tricks you into believing that something works until enough data proves it wrong.
First of all, probability and statistics are two closely related disciplines, but they are two distinct concepts that approach a problem differently.
And the main difference has to do with our knowledge of existing facts. That is, we first determine what are the known facts when we try to solve the problem. And depending on our knowledge, our problem could be either statistical in nature or probabilistic.
For example, we have a box of 49 marbles. Let’s say we know that there are yellow, cyan, gray, and green marbles inside the box, but we don’t know how many marbles are there for each color group.
When we don’t know the composition of the box, we immediately see that we need statistics to infer the box’s composition based on a random sample.
But this is not the case in the lottery. The lottery has a finite set of numbers, and therefore, we have adequate knowledge of the composition of the whole game.
Therefore, any questions related to that is a probability problem rather than statistical.
For instance, we can ask the question:
What is the probability of 1-2-3-4-5-6 getting drawn in tomorrow’s lotto draw?
This problem can be rephrased to:
What is the probability that we draw a combination compose of 3-low-odd and 3-low-even numbers?
And voila! You get the compelling proof as to why you should not play the combination 1-2-3-4-5-6 in a 6/49 lotto game.
That’s how probability works in the lottery. It gives you the power to calculate the best shot possible.
However, probability theory in the lottery can be better understood with the application of combinatorial mathematics.
That’s why Lotterycodex is built upon the science of these two math principles. The results are high-precision and high-accuracy prediction, which statistics fails to provide.
Given enough opportunities based on the law of large numbers, probability calculation is always precise and accurate. And it’s always the case.
Use probability theory to know the possible choices and make the right decision.
Don’t waste your money on silly lotto strategies
You must understand what works in the lottery, and you must back it up with solid evidence. Any conclusion you derived from observation must be falsifiable.
Superstition doesn’t fit in that criteria. And there is a bunch of silliness going on ever since the lottery was invented.
By just avoiding silly lotto strategies, you are way ahead of other lottery players, even without employing a bit of math strategy.
So what are these strategies that don’t work? Below are some examples:
- hot numbers
- law of attraction
- numbers from your dream
- cold numbers
- prime numbers
- lucky numbers
- fortune spell
- Horoscope numbers
- quick picks
- statistical analysis (just waste of time)
The quick pick machine is not quite a silly lotto strategy. It’s just that a quick pick machine doesn’t provide you with better control. 18
If you know your way around math, then use math and forget about the quick pick. Why rely on the quick pick machine when you can do better than that. So that’s the silly thing about using a quick pick.
Superstitions will not provide the solution to lottery puzzle. Mathematics remains the only tool you need to understand your game better.
Implement a solid lottery game plan
It’s true. You can increase your chances of winning the lottery. But the likelihood that you win the grand prize is still minuscule.
You have to play more lines and pick numbers with some mathematical sense.
Put all the winning factors together, and lottery playing is going to be an expensive entertainment. So a lottery game plan must be put in place to make sure that you’re doing it properly.
Just because math can help pick good numbers doesn’t mean you can play the lottery all you want haphazardly.
A better approach to lottery playing requires a proper mindset.
You have to save money and wait for the right time to play. More lines play a significant role in your winning chances.
Winning only comes after a long streak of losses, so anyone playing without a proper attitude can be at risk of lottery addiction.
Therefore, a lottery game plan is necessary to prevent any adverse consequences that lottery playing may bring to your life. 19
Moreover, a lottery game plan teaches you how to save money, understand the value of waiting, and improve your patience.
Make a game plan and implement it consistently. Save, play, and be patient.
How to win in each draw
No one can predict the next winning numbers in the lottery. Not even the most gifted math prodigy in the world can tell the next winning numbers.
But let me tell you right now, there are two groups in the lottery. One is a group that always lose in the lottery. And another group who “always” win in the lottery.
I am sure you want to be part of the latter group. Imagine that. In each lottery draw, you win all the time.
Let me introduce the most “POWERFUL” tip of all—”THE INVERSE LOTTO STRATEGY”
If you have been playing the lottery for many years and all you’ve been achieving is losing lots of money, you’re doing it all wrong. Don’t be surprised because playing the lottery is a losing proposition since every ticket’s expected value is always negative.
It’s time you change the odds to your favor.
This inverse strategy will provide you the real advantage that should be yours for the taking. This works even if you’re a solo player.
Let’s talk about some examples of this inverse strategy.
- Manage a syndicate. Let every member in your syndicate pay a fee for all the administrative tasks involved. Aside from the service fee, you also get a commission in case your group hits the jackpot. You might need to secure a contract to put everything in black and white.
- Buying tickets for someone else. This is the option for you if managing a syndicate is not your forte. Going to the lottery shop and wait in line is a hassle. You’re doing a great favor to them. Just add a small fee for your service. Over time your customers will increase, and so will your income. I know someone who does this, and I am sure this can be done in your community. If anyone of your customers won the lottery, you might receive a small tip.
Be creative, you can turn the lottery into a profitable hobby, and you will never lose a red cent.
Choose the path where you make the right mathematical decisions. Don’t play the lottery to lose.
Don’t forget about your future
Ok, you follow the game plan I proposed. You follow my advice to save money. And you get some big savings now. That’s great!
So you’re ready to play the lottery? Right?
How about you put some of those savings in a mutual fund or stock market investment? What do you think?
Ok, maybe the stock market is not your thing.
But think about this.
If you play the lottery, you may win that massive amount of money.
But it’s also possible it may not happen either.
But here’s something you need to know. When you put some money for investments (either a mutual fund or stock market), that money will grow exponentially over time.
I understand people are different.
As I said if you have to play the lottery, have fun, and at least have some mathematical sense for picking numbers.
But if you are open to more productive entertainment, I invite you to consider the stock market as an alternative playpen for you. I do it myself, and I say it’s both fun and profitable.
Hey, you can do both. Consider playing the lottery as a hobby and, at the same time, invest for your retirement.
Put more money into your retirement and play the lottery for fun.
Tips on how to win the lottery
It’s hard to win the lottery because the odds are against you. But you can analyze your game mathematically and improve your ratio of success to failure. Here’s the summary of what we have discussed so far:
- Choose the right lottery with better odds and with a better payout. Not all lotteries are created equally. Some systems are a thousand times harder to win. And you don’t want that kind of odds no matter how big the jackpot prize is. In the same token, you don’t want a lottery game that is so easy to win if the prize is not big enough to change your life.
- Make an intelligent choice and be mathematically right most of the time. While all combinations are equally likely, combinations are not created equally. As much as possible, you want to look at your numbers’ composition to get a better ratio of success to failure. Remember that a true lotto strategy is about knowing all the possibilities and making an intelligent choice. That’s what we mean by getting the best shot possible.
- Follow the probability. Don’t play the lottery blindly. The majority of the lotto players think that since the lottery is truly random, no strategy will help you win the lottery. That’s not true. On the contrary, the lottery’s random nature will give you a clue how to play the lottery by applying probability calculation. Of course, we cannot predict the next winning combination, but we can predict the lottery’s overall outcome according to the law of large numbers. With the proper application of combinatorial mathematics and probability theory, you can determine all the possible choices. And based on the choices, you can make the right decision.
- Save money so you can play more lines. Skip several draws to save money for more tickets. According to the probability theory, more tickets means more chances of winning the lottery. However, this method is useless if you’re making the wrong choices. If you are a solo player, then buying one ticket is enough. But if you want to implement a better covering strategy, then joining a lotto syndicate is your best course of action so you can buy more tickets without overspending money on lotto entertainment.
- Use the money that you can afford to lose. The positive expected value in the lottery doesn’t happen in reality. Don’t expect that you will gain profit in the long run, even if the jackpot gets bigger. This EV lesson should teach you to treat the lottery as entertainment and not as an investment. The lottery will never replace a full-time job. You play just for fun. In our day to day living, we save some money for something. In the lottery, you should save money for your lottery entertainment in much the same way as you set aside money to watch cinema every week.
- Make a balanced mixture of odd and even numbers. Make a balanced mixture of odd and even numbers. When you fail to count the odd and even numbers in your combination, it hurts your chances of winning. Remember that while all combinations have the same probability, combinations are not created equally. Combinations can be grouped according to their composition. As a lotto player, you have the power to choose the group that provides you the best ratio of success to failure.
- Make a balanced mixture of low and high numbers. A truly random lottery distributes the chance evenly across the number field. For example, a pick-5 lottery game will always favor the 3-low-2-high and 2-low-3-high combinatorial patterns. Similarly, a pick-6 lottery game will have a bias towards 3-low-3-high combinatorial patterns. Check your lottery games in the last 100 draws and see for yourself. You’ll be convinced that predicting the lottery’s general outcome using probability theory is a mathematical certainty.
- Use combinatorial patterns. Why waste money on number patterns that will only occur once in 100,000 draws? To win the lottery, you have to pick your numbers based on a combinatorial pattern with the best ratio of success to failure. True, matching the right pattern doesn’t help you win the grand prize. But it’s the only method that will get you closer to winning the jackpot prize. Lotterycodex patterns will tell you exactly how the lottery draws behave over time. This information provides you with the ability to make intelligent choices and be mathematically correct most of the time.
- Know when to skip a lottery draw. When you know the probability of your chosen combinatorial pattern, you can guess how a number pattern behaves over time. Use this information to skip some draws and set aside money while waiting for the right time to play when it matters. Remember that FOMO doesn’t work in the lottery. So take your time. A strategy with timing is part of having fun.
- Use a calculator. An ordinary lottery wheel cannot separate the best groups from the worst ones. Always remember that combinations are not created equally. As discussed earlier, combinatorial groups with different odds exist in all lottery games. You must remove these useless groups and play with the best ones.
- Avoid the improbable. There are millions of bad combinations in the lottery. Are you picking the right combinations? When you play the lottery, make sure to separate the good, the bad, the worst, and the best combinations in your lotto game.
- Don’t use statistics. Looking back at the historical results of the lottery will not provide the best clue. Learn how combinatorial math and probability theory work together to see the lottery’s future outcome.
- Understand that some lotto strategies don’t work. Superstition has no place in a random game. Just by avoiding all these misconceptions, you are way ahead of the others. But you can take it up a notch by being mathematical in your strategy. Mathematics remains the only tool you can trust to get the best shot possible.
- Make a gameplan and implement it consistently. The lottery is like a war. To win the war, you need to plan before the actual battle. Your most formidable enemy in the lottery is the odds. Therefore, you don’t want to play the lottery without proper calculation and planning.
- Know how not to lose. Do not play the lottery to lose. There is a surefire way to win the lottery if you know how to play the game from its inverse perspective. It’s not about winning the grand prize, but it is a winning proposition that you’ve been waiting for all your life. And it works even if you’re a solo player.
- Put more money into investments than in the lottery. Playing the lottery is fun and OK. But remember that the lottery is not an investment. Play the lottery as a hobby, but consider investing in yourself, or the stock market, or business, index fund or mutual fund, retirement fund, or any activity that will let your money grows, so you don’t worry about money in your old age. You may win the big prize, but it’s also possible it may not happen either. So it’s better to have a fallback.
With proper planning, perseverance, some mathematical sense, winning is just a matter of time. And remember, there’s no trick to winning the lottery. Just plain sensible approach that this article tries to share with you.
I have explained the mathematical way to win the lottery. But we are only talking about the tip of the iceberg. Here are some more honest lottery tips for you.
And of course, the most important pieces of information are available in our free guide section. I invite you to visit the free guide section, where I reveal the role of combinatorial mathematics and probability theory to predict the lottery’s outcome.
Commonly asked questions about the lottery
Play the lottery as a group. A lotto syndicate can play with the covering strategy by spreading the cost of tickets among the members. The result is more chances of winning while each member is not spending too much. It’s more fun when you play as a group.
The best way is to start doing the right thing based on mathematics. Avoid superstitions, hot and cold numbers, quick pick, and picking numbers randomly. There are three factors to consider when picking your numbers. First, decide on the size of your covering. More numbers you cover means more opportunity to trap the winning numbers. Second, make a balanced selection. Ensure that low, high, odd, and even numbers are evenly represented. Third, get the combinations with the best ratio of success to failure. The calculation of this ratio is possible through the study of combinatorial patterns.
It’s not possible. First of all, the main objective of playing the lottery is to have fun. Winning the jackpot is simply the byproduct of being in it to win it. The expected value of the lottery is always negative. In other words, you lose more money than you are capable of gaining. Playing the lottery is not a profitable exercise. Don’t believe when some people say you can win small prizes frequently. These people use manipulative biases such as confirmation bias and availability bias to convince you of their scheme. The truth is that the lottery is never an alternative to a full-time job because winning the lottery takes a long streak of losses. Math does not lie.
In a random game like the lottery, you never know the best time. As entertainment, the best time to play lotto is when your budget can afford a better covering. That is especially true for players who play as a syndicate. However, if you are a solo player, one ticket is enough, and play only when your budget is ready. When I talk about budget, I mean the money set aside for entertainment purposes.
A truly random lottery game follows the dictate of probability principle, so by definition of the law of large numbers, you can predict and draw a reasonable expectation of its outcome to an extent. But it’s not possible to predict the next winning numbers. If anyone is claiming to have the power to know before the draw, go away as fast as you can.
Extremely hard. For example, in Powerball, with 292 million combinations, you need 5.6 million years to win the game if you play once a week. The odds are worse when you play the Mega Millions since the game has 302 million combinations. I always recommend choosing a game with better odds. Examples of lotteries with better odds are Fantasy 5, Northstar Cash, Cash 5, Weekly Grand, Gimme 5, and all the lotteries with no extra balls.
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How to Win the Lottery According to Math Last updated on December 20, 2020 Winning the lottery is a life-changing moment. Get that one good win, and you’re all set. But how to win the