How to Win the Eurojackpot According to Math

Are you looking for tips on how to win the Eurojackpot? Then, 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.

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) = 0.9688^{2 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 – 0.9688^{290 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

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.

But 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 despite being truly random, and I will provide proof later below.

People collect the previous draws and use statistics to determine the hot and cold numbers. Many Eurojackpot players mistakenly believe that this approach can give a clue to winning. This belief must be corrected once and for all.

To begin with, you don’t need statistics to understand how a random Eurojackpot game works. We only use statistics to validate our prediction.

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:

And below is the formula we use to calculate the odds:

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.

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. Lotterycodex uses 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.

Lotterycodex uses 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.

Take note that frequency ratio is not absolute 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:

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.

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 June 27, 2025, EuroJackpot had 853 draws. So, in the case of 3-odd-2-even, we multiply 0.3256621797655230 by 853 draws.

Therefore, we get:

Expected frequency(3-odd-2-even) = 0.3256621 x 853 = 278

Eventually, the calculation shows that a 3-odd-2-even combination is estimated to occur approximately 278 times in 853 draws.

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

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 853 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. Read The Impact of Low and High Numbers on Your Lottery Chances.

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.

In order to make an accurate conclusion, we must apply complex solution, combining odd/even and low/high numbers into a single combinatorial and probability analysis. Here’s how Lotterycodex divides the number field into four sets:

These combinatorial sets ensure that the probability is spread fairly across the 5/50 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.

As a Eurojackpot player, you should buy tickets with combinations that frequently occur in a draw. These prevalent groups are the Templates #1, #2, #3, and #4.

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 helps you make informed choices as it separates the most prevalent from the rare groups, making number selections easy. You can see what dominates the Eurojackpot.

As a player, you must learn how to win the Eurojackpot. Use the Lotterycodex templates as your guide for making informed choices.

Look at how a Eurojackpot game will behave over time:

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 our PLAY/SKIP forecasting tool to see what the Eurojackpot will look like visually after many draws.

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.

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:

• Free Lottery Calculator
• How to Win Lotto 6/49 According To Math
• Lottery Tips According to Mathematics & the Fun of Responsible Gaming
• How to Win Powerball According to Math
• 11 Lottery Strategy Myths Debunked

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    [↩]