Last Updated on May 12, 2025
Looking for a winning lottery formula? Well, mathematics remains the only reliable solution. Here’s how to play—make intelligent choices and be wrong less often.
Here, you will discover logical realities derived from proven principles of probability theory, combinatorics, and the law of large numbers or LLN. I will prove everything using historical results because numbers don’t lie.
So get some coffee. This article is a long one. Without further ado, let’s begin.
Table of Contents
Cracking the Lottery Formula and What to Expect
Winning is difficult. The astronomical odds are not the only reason. Those mistaken beliefs surrounding the game may have prevented you from achieving success.
Playing the lottery is like a war. You must know the enemies, plan a strategy, and execute the attack to dominate 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 introduce a lottery formula to help you understand how balls behave in a random draw.
The Lottery Mind Trap
The 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 what makes a game exciting. One of my lottery tips for all lotto players is to view the game as entertainment.
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. Your losses are just the price of entertainment, much like concert and cinema tickets are the price of a good time.
You may have heard you should frequently focus on hitting small ones to win the jackpot. This statement misleads many players. Lotto players are usually vulnerable to manipulative biases.
Players get too excited about recent successes because of availability bias.1 Then, they tend to emphasize the winning instances and ignore the many instances of loss (confirmation bias).2 So, some lotto players think it’s possible to profit from small prizes. As a result, they fell into an illusion of control3 over the game. Humans are very susceptible to this fallacy.
Why the Odds Are Always Against You
In mathematics, your odds are one against all the many possible ways you fail.
For example, in Powerball, 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.
The expected value is always negative. In other words, it’s never a profitable exercise. You should only spend the money you can afford to lose.
The best way to explain it is through the probability of losing.
The average probability of winning a prize in Powerball is 1 in 24.87. In short, you have a 0.9598 chance that your ticket will not hit any prize.
P(not winning any prize) = 0.95978376792557
Our calculation only means that about 96 of the 100 Powerball tickets you buy will be losers. You need to buy at least 17 tickets to get a 50/50 chance of winning any prize.
P(50/50 chance of winning any prize) = 0.959817 tickets
And to guarantee a 99.99% chance of winning any prize (more likely the lowest tier prize), you must buy 224 tickets.
The important thing to be aware of is that hitting the jackpot is not easy. But worry not because all hope is not lost. A lottery formula exists because randomness is the key to success. You should be thankful that the draw is truly random.
What to Do as a Lotto Player?
When you consider spending money on a ticket, 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, artificial intelligence, or psychic phenomenon (if that even exists) will help you know the draw’s prior results.
When a magical power doesn’t exist, mathematics remains the only tool you can use to get a closer shot to the jackpot prize.
However, when you believe you have the formula, it’s easy to be excited. Just because you gain a mathematical advantage doesn’t mean you have the power to manipulate the odds. With power comes great responsibility, as Uncle Ben says. Please handle any information you will gain in this article with care and responsibility.4
In short, have fun, but play responsibly.
As a computer programmer and a stock market investor, I have learned from my profession how important math is in decision-making and how establishing a proven formula is crucial. I don’t need to be a player to prove my point. Randomness is the key to creating a lottery formula that works. Without randomness, all our probability calculations will not make any sense.
I am just basically sharing the results of my research. The good thing about mathematics is that we can validate if a lottery formula works by comparing mathematical theory with historical results.
Understanding the Basic Element of an Effective Lottery Formula
Numbers and combinations are two different terms.
A number refers to an individual ball. Conversely, a combination is a selection of numbers that, when put together, form a specific composition.
You cannot win a lottery with just a number. You have to combine to make an official entry.
For example, 3,15, 27, 39, 41, and 49 are different numbers. But they form the combination 3-15-27-39-41-49, perfectly describing a 6-odd composition.
The following are some examples of combinations:
When playing, you can choose any number you like—even those you consider unlucky.
But you must choose 5 or 6 to make a composition and purchase a legitimate ticket.
All Numbers Have an Equal Probability
If you’re looking for a lottery formula, this concept of hot and cold cannot be part of it. All balls tend to even out as more draws take place.
This event is described in mathematics as the law of large numbers5 or LLN. For instance, the actual results of the Canada Lotto 6/49 from 1982 to 2018 (36 years) show a huge frequency gap, leaving other numbers behind in the first 30 draws.
Notice the huge gap between 18 and 49. Here’s a pie graph to show the huge difference in frequencies in the first 30 draws of the Canada Lotto 6/49.
11, 18, 28, and 35 get the lion’s share of the pie. As the game continues, those less frequently appearing start to catch up. In 100 draws, the graph was starting to even out.
The frequency balances out to 500 draws. And the frequency continues to get closer and closer in 1000 draws. Fast forward to 2018, the pie graph continues to show no bias at all.
The last pie graph proves that all the numbers have the same chance. If we have to get the frequency of all 49 balls in the 3,688 actual draws, the graph should look like the one below:
The graph proves the existence of a fair chance. So, If lucky, or hot and cold numbers don’t work, what does? The key to an effective lottery formula lies in composition.
The Existence of a Lottery Formula and The Great Misconception
All combinations have an equal chance 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:
The same formula applies to 1-2-3-4-5-6 or 2-4-6-8-10-12.
Consequently, many players and experts believe the lottery has no bias; therefore, it doesn’t matter what sets of numbers you use.
That belief must be corrected.
Are you willing to bet your money on a ticket with 5-10-15-20-25-30 or the 37-38-39-40-41-42 ticket?
You’ll probably answer, “No way.”
But here’s the thing: if you stand up firmly and say those combinations are as likely as any other, why worry?
Either you don’t trust your calculation or your understanding of probability is based on a weak foundation.6
A strategy based on a “gut feeling” should be supported by mathematical formulas and reasoning.7
In mathematics, all these seemingly “weird and surprising” events are bound to occur8 because a random game must follow the dictate of the law of truly large numbers.9
So, while 1-2-3-4-5-6 is possible, understand that you need very large numbers to get a favorable shot. The truth is that thousands of unusual combinations exist, and you probably spent your money on one of them.
It’s best to know why things happen and why things don’t.
Combinations Are Not Created Equally: Understanding the Lottery Formula
Just because all combinations are equally likely doesn’t mean all hope is lost. You heard me say that combinations are not created equally. If you know how to take advantage of this simple truth, you get the unfair advantage that 99% of players are missing.
Let’s use the URN problem to illustrate my point.
Urn problem is a classical though experiment in probability theory used to model different random scenarios. It usually involves an urn (container) filled with objects (ex: colored marbles). We conduct this urn problem to explore probabilities related to drawing items from the urn under certain condition (ex: replacement and with replacement).
In the context of the lottery, balls are drawn without replacement. This means that the total balls in the urn decrease, and the distribution of probability changes with each ball drawn until the pick size is completed.
Suppose we want to analyze a 4/20 game. Let’s set up four colored marbles inside an urn. Each color has five marbles, so we have 20 marbles inside the urn.
Remember that all the marbles, regardless of color, are identical in size, weight, and texture. This ensures fairness by giving every marble a fair chance.
The total number of events where we pick four from an urn with 20 marbles is 4,845. Through this urn experiment, we can answer a range of probability questions. Let’s try some of them below:
Cracking the Odds of Drawing Marbles
Problem A: What are the odds of drawing four yellow marbles?
The total number of ways to pick four yellow marbles is 5. So, the odds are expressed using the formula below:
Odds in favor (4 yellow marbles) = 5/4,845 – 5 = 1:968
The odds indicate four yellow marbles can happen approximately once in 1000 draws.
Problem B: What are the odds in favor of drawing three cyan marbles and one green marble?
The total number of ways to pick three cyan marbles and one green marble is 50. So the odds are expressed as:
Odds in favor (3 cyan and 1 green marbles) = 50/4,845 – 50 = 1:96
The odds indicate that three cyan and one green marble may happen approximately 10 times in 1000 draws.
Problem C: What are the odds of drawing two gray marbles, one yellow marble, and one green marble?
The total number of ways to pick 2 gray, 1 yellow, and 1 green marbles is 250. Therefore, the odds are expressed as:
Odds in favor (2 gray, 1 yellow, 1 green marbles) = 250/4,845 – 250 = 1:18
The odds indicate that picking two gray, one yellow, and one green marble may happen approximately 52 times in 1000 draws.
The urn problem shows that not all compositions are created equally, suggesting the existence of a functional lottery formula. Composition plays an important role.
Separating the Most Prevalent from the Rare
Numbers, objects, and symbols can represent the colored marbles, you name it, but the basic principle dictates that combinatorial groups exhibit different frequencies of occurrence over time.
Our combinatorial and probability analysis shows 35 groups in a 4/20 game, and only one is prevalent. In Lotterycodex, we call these groups templates; the prevalent one is expected to occur about 129 times in 1000 draws.
As a player, you should bet your money on a composition that occurs more frequently as it puts you closer to winning the jackpot for most of your attempts. The frequency ratio helps isolate the prevalent group
Frequency Ratio: A Deeper Look Into Your Advantage
In mathematical parlance, odds and probability are two different terms.
We expressed probability as:
We express the odds as:
Probability measures the likelihood of an event, while the odds refer to the ratio of favorable shots to unfavorable shots. In the lottery, we usually refer to odds as “odds in favor” or simply odds.
As you can see, odds and probability are related by they don’t have the same equation.10 The lottery formula we seek is the odds in favor equation.
What does it mean? It means that we don’t have control over probability. But we have the power to choose better odds. For example, between 5/32 and 6/49, the verdict is clear that the former is way more favorable. Thus, your choice must lean towards playing the game that offers an easier route to success.
So, the formula lies in choosing better odds. However, we are searching for a more granular approach that involves intelligently selecting numbers. That’s why we must focus on combinatorial compositions or groups.
“Odds” are often associated with the idea of winning and losing, which can be misleading when applied to combinatorial groups. To ensure clarity and consistency, I use the term “frequency ratio” to highlight the relative frequency of occurences of each group. This term focuses on how often each group is likely to occur, providing a clearer representation of favorable shots rather than framing it as winning or losing.
Applying the Formula for Smarter Lottery Choices
In 6/49, there are 4,655,200 ways to combine 3-odd-3-even (Read How Odd and Even Numbers Influence Lottery Outcomes). This composition will give you a frequency ratio of 1:2, meaning that in 3 attempts, you get one favorable advantage and two unfavorable shots.
The lottery formula means that for every 100 attempts you play, approximately 33 shots are closer to the winning combination.
A 6-even composition will only give you a 1 to 103 advantage. That means if you play 2-4-6-8-10-12 in 104 attempts, expect only one favorable shot, and 103 of those attempts are unfavorable.
I don’t think you will be willing to spend money on a 6-even composition only to give yourself one closer shot and put away the rest of your play money down the drain most of the time.
Let me compare the two compositions side by side:
| 6-even | 3-odd-3-even |
| 134,596 favorable shots | 4,655,200 favorable shots |
| 13,849,220 ways to fail | 9,328,616 ways to fail |
| 1 closer shot out of 104 attempts | 33 closer shots out of 100 attempts |
| Frequency Ratio of 1:103 | Frequency Ratio of 1:2 |
The table indicates that the 3-odd-3-even composition is more prevalent based on its frequency ratio. Please use our lottery calculator to check how your favorite lotto game behaves involving odd and even numbers.
Who Gets the Best Shots
Imagine two players participating in 2,080 draws over 20 years. One player purchases tickets that give him a 1:2 ratio, while another buys tickets with a 1:103 ratio. The difference in their ratios is significant because over 20 years, the first player gets 693 best shots, while the other gets only 20 best shots and fails on 2,060 tickets.
As you can see, the effectiveness of your strategy lies in choosing a better frequency ratio. Lotterycodex simplifies the approach by determining the most prevalent group using the above lottery formula. You need this strategy to be wrong less the majority of the time.
You cannot change the underlying probability, and you cannot beat the odds, but you have the power to be wrong less. Simply put, getting the best shot possible is all about picking a composition that works for you. Use the frequency ratio to help you make informed choice.
The Empirical Validation: Combinatorial Groups in Action
So far, we’ve established a theoretical explanation of your likely advantage using combinatorial groups and their corresponding frequency ratio. It’s time to validate our theory against the historical draws.
This time, we will use low and high number sets. Let’s group 49 balls into two sets:
Low = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}
High = {26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49}
According to probability theory, a random draw spreads the probability fairly across the field. Thus, most winning combinations should consist of three items from the lower and three from the higher set. (Read The Impact of Low and High Numbers on Your Lottery Chances)
Theoretically, we should rarely see a winning combination of purely low or purely high numbers because the probability cannot be biased toward a certain set.
Consequently, the 3-low-3-high composition should be more prevalent.
Below are the tables showing all the groups we can produce from the two sets.
Prevalent
Occasional
Rare
Historical Results Versus Theoretical Calculation
To validate our theory, our calculations and historical results must closely agree. At the end of our study, we should be able to establish that groups with varying frequency ratios exist.
Take a look at the following tables below:
Australian Saturday Lotto (949 draws from January 7, 2006, to March 16, 2024)
How to Win Tattslotto According to Math
U.S Powerball (1,008 draws from October 7, 2015, to March 16, 2024)
How to Win Powerball According to Math
Note: Our statistical analysis of Powerball must start on October 7, 2015, when the game began implementing the 5/69 format. Read Why Consistent Data Matters
Euro Millions (1,705 draws from April 16, 2004 to March 15, 2024)
How to Win Euromillions According to Math
Euro Jackpot (728 draws from March 23, 2012, to March 15, 2024)
How to Win the Eurojackpot According to Math
Irish Lotto (890 draws from September 5, 2015, to March 16, 2024)
How to Win Irish Lotto According to Math
U.S. Mega Millions (628 draws from October 31, 2017, to March 8, 2024)
How to Win Mega Millions According To Math
Note: Our analysis of the U.S. Mega Millions must start on October 31, 2017, when the game began implementing the 5/70 format. Read Why Consistent Data Matters
UK Lottery (876 draws from October 10, 2015, to March 16, 2024)
How to Win the UK Lotto According to Math
The Best Lotto Numbers To Pick
When making choices, your first step should not be seeking the “best lotto numbers.” Take time to familiarize yourself with all the combinatorial groups in your game and understand the associated frequency ratios.
I know some lotto pros online recommend using a lottery wheel to target the small prizes and win more frequently until you hit the jackpot. I have explained how this method misleads you into thinking that you’re winning when you’re not. That’s not how the lottery works.
Lotterycodex is not for you if you aim for small prizes. Please stop reading right now and go somewhere else.
The only responsible way to play is to “save money” and do your best to hit the jackpot. Implement a well-planned formula and make an intelligent choice using the frequency ratio.
When making choices, remember that the lottery obeys the dictates 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.5
This only means that each group will follow the frequency dictated by its probability very closely. The agreement between historical results and theoretical calculation proves that the lottery follows the law of large numbers.
Since the lottery follows the law of large numbers, it’s a mathematical certainty that the prevalent groups will continue to dominate as the number of draws increases to infinity.
How Does Lotterycodex Determine Which Groups Are Prevalent?
Earlier on, I emphasized the benefits of using combinatorics. However, combinatorics is not enough. Our lottery formula requires additional support from another branch of mathematics; this is where probability theory can help.
Probability is the branch of mathematics that determines how events will likely occur.11
Combinatorics and probability give us an ultimate lottery formula for getting the best shot possible.12
To begin, we need the right process.
Please understand that 3-low-3-high combination and the 3-odd-3-even combination do not represent the best combinatorial strategy.
For example, the 1-2-3-4-5-6 belongs to the 3-odd-3-even composition, but notice that it also belongs to the 6-low-0-high group, which suggests that such a straight combination is a poor composition.
The contradiction between low/high and odd/even analysis reinforces that the lottery formula must deal with something more complex. Therefore, the proper calculation should integrate low/high and odd/even in a single combinatorial and probability analysis. This integration will give you a more accurate evaluation of the game’s drawing behavior based on the law of large numbers.
Let’s use the 5/24 system to illustrate the formula. First, we divide the 24 balls 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 |
Below is what the Lotterycodex combinatorial partition looks like in a 5/24 game:
Generated by Lotterycodex Calculator
Those four sets are all we need to execute the lottery formula and produce the corresponding combinatorial templates. Then, we can separate the most prevalent, the occasional, the rare, and the extremely rare groups.
Lotterycodex Templates: A Simplified Approach to Complex Lottery Formula
The results of our combinatorial calculations are what we call Lotterycodex templates. You will use these templates as your guide for making informed choices. Of course, your goal is the jackpot; therefore, you should choose the most prevalent group to get the best shot possible.
For example, the line 1,2,3,4,5 combination has the following composition:
In Lotterycodex, this composition belongs to the Template #29. Notice that this template has three items from the low-odd set and two from the low-even set.
Template #29 exhibits a probability value of 0.0070581592, meaning this group occurs about seven times in 1000 draws. Look at how we use the lottery formula to predict the group’s future behavior.
P(3-low-odd and 2-low-even) = 1000 x 0.0070581592 = 7.0581592
Frequency ratio(3-low-odd and 2-low-even) = 1:141
If you play this template, you have approximately seven favorable shots, on average, in every 1000 attempts. The frequency ratio indicates you get one favorable shot after spending 142 tickets.
Remember this: As a lotto player, you don’t want to spend your money on 1000 tickets only to get seven favorable shots. Use the templates as your guide for making informed choices.
In case you don’t know, on 5/24, some templates have a frequency ratio of 1:7083, which means that in 7,084 tickets, you have approximately one favorable shot in every 7,083 unfavorable shots. If you have been playing 5/24 for many years now, chances are you have spent money on one of these groups—and you aren’t even aware of it.
Getting your best shot means getting closer to the winning combination most of the time.
Lotterycodex Calculator: Effortless Application of the Lottery Formula
A 5/24 game has 42,504 total playable combinations. Based on our lottery formula, it has 56 templates. 4 templates exhibit the most favorable frequency ratios. According to the law of large numbers, these prevalent templates will dominate as drawing events continue.
Generated by Lotterycodex Calculator
Lotterycodex Templates for 6/49 Lotto
In 6/49, you can choose from 84 templates. Only six are prevalent.
Generated by Lotterycodex Calculator
Lotterycodex Templates for 7/50 Lotto
If you are a 7/50 lotto player, you should know that only 4 of 120 templates are prevalent.
Generated by Lotterycodex Calculator
Lotterycodex Templates for Other Lotto Games
The formula for combinatorics and probability can be quite complex. Also, the results of probability calculations are always different depending on the game’s format.
There’s no one-size-fits-all calculator. Be sure to use the right one.
For example, if your favorite game is 6/49, use the 6/49 calculator.
Sometimes, a lotto game has one or two extra balls. We don’t include the additional number in the calculation because it is not mathematically practical.
For example, if you play the Euro Millions or the Euro Jackpot, your calculator should be the 5/50 calculator. With the Lotterycodex formula, we don’t count the two extra balls.
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 use the right calculator. The clue is simple. Know the main pick size and the size of the number field. Don’t count the extra ball.
Hit the Jackpot With the Right Lottery Formula
To hit the jackpot, it doesn’t matter what individual numbers you choose to play. You can play those so-called unlucky because a random game doesn’t care whether they are true.
You can play special dates or birthdates if you understand how the lottery formula works.
The secret to winning is understanding combinatorial math and probability formulas. However, combinatorics and probability are difficult subjects, so a Lotterycodex calculator will help you navigate these complexities. You don’t need a math degree to succeed.
I have important reminders, though.
The lottery may be cheaper than any other form of gambling, but it might lead you to an addiction if you are not careful.
Ultimately, the budget will dictate how many lines you can play. Remember that success takes a long streak of losses. Having a well-planned formula is not enough. Setting a specific goal and implementing it with money-saving habits is also essential.
I am here to show you the facts. You must understand that buying more tickets is part of this lottery formula; there’s no other way. However, buying more tickets tends to become expensive and risky in the long run. Therefore, a lotto syndicate should save you in that regard.
Questions and Answers
Lotterycodex aims to debunk the misconception that all hope is lost because all numbers and combinations are equally likely. Truth be told, combinations are not created equally because they have varying compositions with varying frequency ratios or frequency ratios. Lotterycodex advocates that players examine their selections using the templates provided.
Lotterycodex determines all the possible combinatorial groups based on their varying compositions of low-odd, low-even, high-odd, and high-even numbers. The calculator then calculates their varying frequency ratios and separates those groups that dominate the lottery draws over time according to the law of large numbers. This effectively put players closer to the winning combinations most of the time.
Explore more:
Es realmente asertamte que porcentaje de probabilidad daría el programa o la calculadora gracias.
So what do you suggest for the bonus 2 numbers (1-12) for EuroJackpot? How can I make it easier on myself when choosing a combination?
We can only perform combinatorial and probability analysis on the primary five numbers. There’s nothing we can do about the bonus numbers because it’s not practical, mathematically and financially speaking.
Good information keep on updating us.
A bit too much to absorb in one go especially if you’re not very familiar with the deeper end of mathematics
Thank you Vernon for sharing your thoughts. Combinatorial math and probability theory are not easy subjects to deal with but it’s really necessary to explain how they work. I know that math can be very intimidating and exhaustive so I created Lotterycodex calculators to save lotto players from all these conundrums in mathematics. Nonetheless, I still recommend that lotto players do make effort to understand how math works in the lottery. But at any rate, if one is not interested to know the nifty aspect of calculation, I offer Lotterycodex calculator as a convenient tool.
Very interesting article and very well written.
The division of the balls based on the numbers printed on them is artificial and it is the same as dividing a group of 30 balls with different colors/letters into two subgroups and then selecting 3 balls from each subgroup.
So, any division of the main group of the balls into subgroups will have same probability and same odds. in short – the combination 1,2,3,4,5,6 is not better or worse than a combination of balls identified by their colors like: blue-yellow-green-black-white-red.
I do agree with the principle of playing games with less numbers to pick from, because of two combined reasons:
One – with small group of balls we have smaller absolute value of losing events (i.e. ‘bad’ combinations/odds) than the absolute value of losing events of a larger group of balls to pick from. Thus, with smaller group of numbers we have higher winnings frequency because of the smaller sample size.
Two – we do have control whether we participate in the next draw/s or not. so, If we choose for example a combination that have a probability of 1/20 to win a small prize, and that specific combination didn’t won (even not small prize) in the last 20 draws, allegedly, it will be recommended to use this combination in the next draw.
I believe we can use the lottery codex and add some factors from the schrodinger equation to predict the drawing. Kinetic energy, weight of each ball & such. If you would be interested in hearing about this please let me know.
Hi Rodney,
I am interested in the topic your brought up. can you please elaborate more or suggest references?
Thanks
Too complicated. Whatever you do, you can only predict or describe the outcome of a lottery game to an extent based on a large number of drawings. In a truly random game like the lottery, where all balls have equal weight, the same textures, and equal size, everything is fair. You cannot predict the next winning numbers.
Do calculators works for foreign (Brazilian) lotteries?
Yes
Do you have a strategy or statistical combination more apt for winning for pick 3 or pick 4 games?
Sorry, we only focus on traditional lottery draw games.
This Is a fantastic article. One of the best written since it is very clear and concise. However I was wondering on how else to elaborate on narrowing down randomness beyond the methods you mentioned in the article and the one you mentioned in the comment section about “schrodinger equation to predict the drawing. Kinetic energy, weight of each ball & such.”
(WHICH BTW, I would love to learn your thoughts In regards to how you see it working and how to put it to use).
However, what else may be interesting to research is finding out more about RNG systems lotteries use such as,(PRNGs, TRNGs) or a mix of them and the mechanisms they use to generate the seed number for the winning draws. Binary is of interest to me as well since (if i understand correctly they use this overlayed on top of atmospheric noise then feed it to a TRNG system to find a seed number then use a PRNG system to help scaling etc.
It may be impossible to find the seed number without knowing the algorithm used in the PRNG/TRNG for (let’s say 6/49) and not definitive to find the real world random event they use (much less calculating a pattern in it, such as (atmospheric noise)…… BUT, what if it is not? I want to know is there a pattern in atmospheric noise? (It is the likely candidate used for starting in generating seed values) Can we derive the seed number (or atleast come to a closer idea of what the seed number may be based on patterns)?
Would love to hear what you think about this.
Too complicated to apply to lottery drawing. Please remember that all balls in the urn have the same texture, size, and weight.
I need this
I love the math that there is behind it and how it is explained, however isn’t there some logic to use statistics as well? At least to derive some patterns for frequencies of groups of numbers that might oscillate as a function of time, or to see whether winning numbers follow a certain type of distribution according to the sum of all numbers for example?
Do whatever works for you. Use statistics to validate our predictions and follow the trend.
The lottery in canada is fixed for the east to win 9 out of 10 since ndp support the eas BC get a share now in 1 month its Ontario Quebec BC. Bring back live draws
Why not use the expected value of a ticket to decide
When and what lottery buy into? Seems that a total prize jackpot of $100 million is a better time to buy a ticket than when the total is $20 million (for LottoMax).
No matter the prize, you don’t get a positive expected value when buying lottery tickets.
I wanted to subscribe and have a try to this form of gambling. Who knows my luck would be in this way.
But how to make a payment for this.
The link is in the article itself.
How to make a payment
Nadia, the link to the payment page is available within the article. Please feel free to review the content thoroughly to locate it. I would have provided the link here, but I believe it’s important to first understand how the calculator works.
I wanted to buy your lottery codex calculator but I haven’t seen any link and for any mode of payments.
Nelson, the link to the payment page is available within the article. Please feel free to review the content thoroughly to locate it. It would be helpful if you could first get fully acquainted with how the calculator works.
Hi thank you for the information but i don’t understand lotterycodex application you said one have to calculate templates 1#2#3# for 6/49 , i don’t understand what to calculate when using my calculator, eg numerically could it be high above low numbers 2/26 can you please make a simple method.
Use a Lotterycodex calculator to handle all these complex combinatorial and probability calculations. The link to the calculator is included in the article itself.
Had me riveted! Now where do I get this calculator? Thank you for your rational explanation of Lottery in general.
Thank you. You will find the link within the article.
Keep up the outstanding work!
This was a fascinating read! The breakdown of combinatorics and how it applies to lottery odds really opened my eyes to the math behind the games. I never realized how much probability plays a role in lottery outcomes. Thank you for shedding light on this topic!