How to Win the Eurojackpot According to Math

Are you looking for tips on how to win the Eurojackpot? Then, stop using statistics and start using combinatorial math and probability. This guide will show how the game works and how to overcome common challenges, ignore common myths, and use math to make intelligent choices.

Let’s dive in.

The Odds of EuroJackpot

A game with a 5/50 format has 2,118,760 possible combinations. However, winning the jackpot requires matching two additional numbers out of 12, which increases the odds to a monumental 1 in 139,838,160.

Ebook cover: How to Win Eurojackpot According to Mathematics

You are more likely to be killed by a shark than to win the Eurojackpot, but no shark will attack you if you don’t swim in the ocean.1 It’s the same with the lottery: you can’t win without a ticket. You have to be in it to win it.

Fortunately, in addition to the jackpot, you can also win 11 more likely prizes ranging from €9 to €800,000, giving you 1 in 32 chances of winning any prize.2

So, based on the Eurojackpot’s prize chart, not winning a prize is 0.9688 probability. Therefore, losing nth times is this number raised to the power of n. For example, losing twice in a row is 94%.

P(losing twice) = 0.96882 tickets = 0.9384765625

Getting a 50/50 shot at winning any prize may require purchasing approximately 22 tickets. To achieve a 99.99% certainty of winning a prize, you must purchase 290 tickets. We use the complementary of P(losing) to calculate this probability of winning.3

P(winning any prize) = 1 – 0.9688290 tickets

It’s worth noting that the odds favor securing the lowest-tier prize. Therefore, this 99.99% guarantee will most likely give you €9.84 win. Winning minor prizes in the Eurojackpot is difficult, let alone the jackpot. So don’t believe if someone says you can profit from the Eurojackpot.

The truth is that lottery playing cannot substitute for a full-time job due to its negative expected value.

Be a Mathematical Player to Win the Eurojackpot

Winning the Eurojackpot is difficult because the odds are too monumental. But apart from the odds, one of the main reasons you are not winning is not making informed choices.

Some players use quick picks, special dates, hot numbers, cold numbers, or even whimsical beliefs such as lottery spells, psychic reading, horoscope reading, numerology, and several superstitious approaches.

Consequently, none of the above approaches work. To know how to win the Eurojackpot, you must understand how lottery balls behave in a random draw.

Fortunately, Eurojackpot is deterministic on average despite being truly random, and I will provide proof later below.

This image of the lottery's randomness shows streaks and clusters. This characteristics of a truly random lottery provides clues on how to win Eurojackpot game.
The picture above suggests that a random lottery game provides sensible clues for picking numbers. Read on: A Truly Random Lottery with a Deterministic Outcome

People collect the previous draws and use statistics to determine the hot and cold numbers. Many Eurojackpot players mistakenly believe that statistics can give a clue on how to win.

To begin with, you don’t need statistics to understand how a random Eurojackpot game works. And this belief must be corrected once and for all.

Well, there are two mathematical tools you can use. Specifically, combinatorics4 and the other one is the probability theory.3

These two mathematical tools are the keys to helping you understand how balls behave in a truly random draw.

Decoding Eurojackpot Game’s Frequency Ratio

You cannot manipulate the underlying probability in a truly random game. You cannot beat the odds of the Eurojackpot game no matter what you do.

So, how can we make intelligent choices if all numbers and combinations have the same probability?

Well, one of the secrets is the frequency ratio.

Let me start by defining the difference between odds and probability. Odds and probability are not mathematically equivalent.5

Below is the formula we use to calculate the probability:

Probability is equal to the number of favorable combinations over the total number of combinations

We use the formula below to indicate your odds:

Odds is equal to the number of favorable combinations over the difference between the total number of combinations and the favorable combinations. This is the most important formula when learning how to win Eurojackpot.

So, odds will provide a better picture of your advantage. This calculation helps you compare your success against failure. In probability theory, odds can refer to either in favor or against. However, in the lottery, we prefer to use the odds in favor.

Odds equals successes over failures. In Lotterycodex, we call this frequency ratio.

Since combinations have different compositions, different combinatorial groups with varying odds exist. However, we do not use the term odds for combinatorial groups because odds are usually associated with winning and losing.

Here in Lotterycodex, we use the term frequency ratio to highlight the relative frequency of each group, offering a clearer representation of favorable shots rather than framing it as winning or losing.

For instance, there are 53,130 ways to combine 5-even numbers. This is an example of a combination without a single odd number. Since there are 2,118,760 possible combinations in a 5/50 game, this combinatorial group has a ratio of 1:39.

Frequency Ratio (5-even) = 53,130 / 2,065,630 = 1:39

This calculation indicates that a 5-even combination is expected to occur only once in 40 draws.

Of course, this is not an absolute frequency but rather relative. It means that a 5-even composition occurs approximately three times in 100 draws.

Let’s compare that to a more balanced composition.

Frequency Ratio (3-odd-2-even) = 690,000 / 1,428,760 = 1:2

The calculation indicates that a 3-odd-2-even combination is expected to occur 33 times in 100 draws.

We can easily see the difference if we compare the two side by side:

This image shows the difference between 5-even and 3-odd-2-even combinations. The difference can be noticeable in terms of their frequency ratios.

Read How to Win the Lottery According to Math

As can be seen, these frequency ratio calculations allow you to make informed choices.

To win the Eurojackpot game, you should learn how to use the frequency ratio for making informed decisions. You cannot change the underlying probability, and you cannot beat the game’s odds. Nonetheless, you can calculate all the possible outcomes and make informed choices.

That is how math can help you make intelligent choices when playing.

Imagine two lottery players participating in 2,080 draws over 20 years. One player purchases tickets with a frequency ratio of 1:2, while another player buys tickets with a frequency ratio of 1:39. Therefore, over a span of 20 years, the first player gets 693 best shots, while the other player gets only 52 closer shots.

EuroJackpot Follows the Dictate of Probability

According to the law of large numbers, the actual results will always agree with probabilistic expectations..6

We compute the expected frequency of each combinatorial group using the following formula:

Expected frequency = probability X number of draws

From March 23, 2012, to March 15, 2024, EuroJackpot had 728 draws. So, in the case of 3-odd-2-even, we multiply 0.3256621797655230 by 728 draws.

Therefore, we get:

Expected frequency(3-odd-2-even) = 0.3256621 x 728 = 237

Eventually, the calculation shows that a 3-odd-2-even combination is estimated to occur approximately 237 times in 728 draws.

Using the same computation for the rest of the odd-even patterns, we come up with the completed comparison graph below:

This is Euro Jackpot odd-even analysis as of March 15, 2024 with 728 draws.  The actual draws and probability estimation agrees together. 3-odd-2-even was predicted to occur 237 and it occurred 227 times in the actual draws.  The 0-odd-5-even pattern was predicted to occur about 18 times and it occurred 23 times in the actual draws.

Read How to Win the Lottery According to Math

The agreement between prediction and actual results only proves that the EuroJackpot game follows the rules of probability. Math does not lie.

You probably don’t want to get just 16 favorable shots after playing 728 draws. The Eurojackpot game favors the 3-odd-2-even and 2-odd-3-even groups; consequently, most winning combinations belong to these groups.

According to probability theory, this expectation will happen because a random Eurojackpot game spreads the probability fairly between odd and even numbers. That’s why you rarely see a winning combination composed of purely even or odd numbers; the probability has no bias.

How to Choose The Best Numbers to Win the EuroJackpot

Combinatorial math and probability theory can be problematic if done incorrectly.

The result might be significantly inconclusive when you deal with one analysis where you take odd and even numbers and forget that the number field also contains low and high numbers.

For example, a straight combination such as 1-2-3-4-5 cannot have a favorable frequency ratio because a random draw will not favor a combination with pure low numbers. Based on our understanding of probability, a truly random game distributes the probability across the entire number field. So, you seldom see a winning combination of pure low or purely high numbers, although that is not impossible.

The right methodology must be used when applying combinatorial and probability analysis. We must include low and high numbers in the calculation process.

Lotterycodex combines odd/even and low/high numbers into a single combinatorial and probability analysis. Here’s how Lotterycodex divides the number field into four sets:

Lotterycodex divides the Eurojackpot's game into four sets: LOW-ODD, LOW-EVEN, HIGH-ODD, and HIGH-EVEN sets.

Read The Winning Lottery Formula Using Math

These combinatorial sets ensure that the probability is spread fairly across the number field and thus provide accurate information for decision-making.

The combinatorial and probability analysis results in a list of Lotterycodex templates that accurately predict which group will dominate the Eurojackpot game based on the law of large numbers.

In Lotterycodex, only two of 56 templates dominate the Eurojackpot game.

Generated by Lotterycodex calculator

As a Eurojackpot player, you should buy tickets with combinations that frequently occur in a draw. These dominant templates are the Templates #1, and #2.

The question is, how do you know you’re playing the right template? This is where Lotterycodex can help you make informed choices.

How to Win the EuroJackpot Game

Remember that buying tickets is the only way to increase your odds of winning. However, buying tickets randomly is not an effective method. Mathematically speaking, a lottery wheel gives you the mathematical advantage of trapping the winning numbers.

Using the Lotterycodex calculator as a lottery wheel, the program will help you make informed choices as it separates the dominant from the rare groups, making number selections easy.

With Lotterycodex analysis, we can finally see what dominates the Eurojackpot.

As a player, you must learn how to win the Eurojackpot. The best way to do this is to use the Lotterycodex templates as your guide and make informed choices.

Look at the following Lotterycodex prediction of how a Eurojackpot game will behave over time:

This image shows that template #1 dominates a 5/50 game and will continue to dominate even after 5000 draws. If you want to know how to win Eurojackpot, you should focus on template #1 or template #2.

Generated by Lotterycodex calculator

Based on the above table, template #1 dominates the Eurojackpot game, and according to the law of large numbers, template #1 will continue to show dominance even after 5000 draws.

Predicting the Eurojackpot

Use the calculator below to see what the Eurojackpot will look like visually after 5,000 draws:



This probabilistic prediction is a mathematical certainty.

There are millions of combinations in EuroJackpot. How do you know you choose a combination with a favorable frequency ratio?

These Lotterycodex templates will give you that simple access to the right information.

Unlock Lottery Success with Proven Math-Based and Data-Driven Insights

Access Lotterycodex now!

Join the Conversation

Do you know how to win the Eurojackpot? I welcome your opinion. Please join and add value to the conversation. Share a specific strategy that works for you in the EuroJackpot game.

Thank you for reading 🙂

Explore more:

References

  1. Shark Attack Statistics & Trends in 2024: What the Latest Data Reveals?    []
  2. 12 Prize Tiers in Eurojackpot    []
  3. Probability Theory    []    []
  4. Combinatorics    []
  5. What is the difference between odds and probability?    []
  6. Law of Large Numbers    []

18 thoughts on “How to Win the Eurojackpot According to Math”

  1. I would like to purchase the 5/50 euromillions codex generator, please advise me as to how I can make this purchase

  2. Thank you for this nice article 🙂

    I have a question. How can we assure that the drawing is really live? The drawing happening in a room where there is no one to see. They have a list of purchased numbers and they can keep repeating the drawing recording until they get a number that has less number of winners.

    And in addition, if the recording is not live, they can buy the winning number before they broadcast the drawing result!

    Best regards,
    Diya

  3. Hi there 🙂
    In our eurojackpot we have to choose 5 main numbers from 1-50 and then additionally we have to choose two star numbers from 1-12
    How would you solve this?
    The low should be 1-6 and the high 6-12
    The even 2,4,6,8,10,12
    The odd 1,3,5,7,9,11
    I’ve tried to analyse the previous numbers and you are totally right with the 2odd-3even, 3even-2odd, 2low-3high, 3high-2low
    But the star numbers seem totally random although some were the winning numbers more often than others
    Thank you in advance
    Cheers

  4. HI,

    I’m following EuroJackpot,

    Your theory seems reasonable, but what about the last two numbers? Are they not there.

    Thanks
    Khiansh

  5. Hi,
    Pretty good query, but there has never been any trust issues yet, draw happens in Helsinki, Finland, and the result is reviewed in Germany. After everything is ok, the result is published. Many have won 120 million Euros in the past, its a intercountry lottery. There is no issue with the trust.

  6. Your concern is completely legitimate. Not only a) is the draw not live b) sometimes there is a huge delay in publishing the results(on 23/08/24 an hour later than normal) and c) the winner(s) remain(s) anonymous. The perfect recipe to commit fraud to win, but also to make sure there ain’t no winner, specifically as that will increase participation after every draw without a winner. Maybe author can check if the 5*good is within the range of error or if there is a pattern That there is no Live broadcast is really funny, as it stand to reason that it will draw more participants, so they deliberately voted against it.

Leave a Comment

This site uses Akismet to reduce spam. Learn how your comment data is processed.