## The Odd-Even Patterns In the EuroMillions

Odd-even patterns do have an impact on your number selection strategy. You fail to choose the right composition of odd-even numbers, and you fail to win even before you play.

The Euromillions number field can be divided into two sets:

Odd = {1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49}

Even = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50}

The table below shows the complete odd-even patterns in EuroMillions with their corresponding probability:

Patterns | Probability | Calculus |

3-odd-2-even | 0.3256621797655230 | 32.5662179766% |

3-even-2-odd | 0.3256621797655230 | 32.5662179766% |

1-odd-4-even | 0.1492618323925310 | 14.9261832393% |

1-even-4-odd | 0.1492618323925310 | 14.9261832393% |

5-odd-0-even | 0.0250759878419453 | 2.5075987842% |

5-even-0-odd | 0.0250759878419453 | 2.5075987842% |

1 | 100% |

The table shows that the first two are the best ones to play in EuroMillions. To help you figure out the best and the worst ones, I further divide the patterns into three groups:

Best Patterns | Fair Patterns | Worst Patterns |

3-odd-2-even | 1-odd-4-even | All-even-numbers |

2-odd-3-even | 1-even-4-odd | All-odd-numbers |

As a EuroMillions player, you should either play the 3-odd-2-even or the 2-odd-3-even patterns.

Do you want proof?

Let’s peek at the past EuroMillions results and see how the game follows the dictate of probability.

## Predicting the Outcome of the EuroMillions Draw

You have to understand that probability theory is simply a reliable guide. Naturally, the expected frequency and the actual frequency will not always match exactly.

You use probability to predict the future outcome of the game to guide you on how to play your game.

For example, if we want to know in advance the outcome of EuroMillions after 2000 draws, we use the same formula for expected frequency:

If we are to predict the outcome of all the odd-even patterns, we will come up with the following prediction table below:

Pattern | Probability | Estimated Occurrence in 2000 draws |
---|---|---|

3-odd-2-even | 0.3256621797655230 | 651 times |

2-odd-3-even | 0.3256621797655230 | 651 times |

4-odd-1-even | 0.1492618323925310 | 299 times |

4-even-1-odd | 0.1492618323925310 | 299 times |

All-odd | 0.0250759878419453 | 50 times |

All-even | 0.0250759878419453 | 50 times |

As a smart EuroMillions player, you don’t want to waste your money on patterns with low probability. That is the power of probability calculation as we apply it in EuroMillions.

As a lotto player, you want to win the jackpot. Therefore, you should stick with either 3-odd-2-even or 2-odd-3-even and forget about the rest of the patterns.

You get the same idea when it comes to low-high patterns. You don’t want to pick a combination whose composition is purely low numbers or strictly high numbers.

However, EuroMillions is not only about low-high or odd-even patterns.

We discuss low-high and odd-even patterns to show that the lottery can be predicted to an extent. But the low-high and odd-even patterns don’t provide the whole picture of the EuroMillions game.

You must understand the EuroMillions game as a whole if you want to win the game. For you to achieve that, you have to understand intricate combinatorial patterns, which is the real key to EuroMillions’ success.

Let’s proceed to discuss what advanced patterns can do to level up your lotto playing strategy.

## Lotterycodex Patterns and The Best Combinations In EuroMillions

Earlier, we discussed that any questions you ask about the lottery must be a combinatorial and probability problem to solve.

So to know the probability of 1-2-3-4-5, we ask the question “What is the probability of a combination composed of three-odds and two-even numbers?”

However, this is not the only question we can ask, we can also ask:

“What is the probability of a combination composed of five low numbers?”

The problem though, two different questions may provide different probability results.

When you deal with low-high and odd-even patterns as two separate probability analyses, you will encounter serious contradiction.

To illustrate the contradiction, 1-2-3-4-5 is one of the best combinations under odd-even patterns.

But then we know that under the analysis of the low-high patterns, such combination is one of the worst ones.

So combinatorial mathematics and probability theory can be very confusing if you are not careful.

So what is the solution?

The solution is Lotterycodex patterns

Using Lotterycodex patterns, we put these two analyses together into one combinatorial equation.

So now to solve the probability of the combination 1-2-3-4-5, we ask this question instead:

“What is the probability of a combination composed of three-low-odds and two-low-even numbers?”

That’s how Lotterycodex patterns can help you along the way. However, combinatorial calculation with probability analysis can be very complex so I created the Lotterycodex calculator to make everything much simpler and faster.

For simplicity, I have divided EuroMillions patterns into three groups.

Best Group | Middle Group | Worst Group |

Patterns #1, #2 | Patterns #3 to #28 | Patterns #29 to #56 |

Two patterns | 26 patterns | 28 patterns |

As you notice, there are only two best patterns out of 56 patterns in EuroMillions 5/50 game.

For those of you who want to delve deeper into the nitty-gritty aspect of calculation, I don’t hide the formula. I discuss how these patterns are obtained in detail, so I invite you to check the free guide.

The table above is very straightforward. If you want to win the EuroMillions, then focus on patterns #1 and #2. And forget about the rest of the patterns.

The problem, almost 90% of the lotto players, do not know the worst combinations that will put their money down the drain. For example, many people pick their combinations that belong to the worst group.

There are millions of these worst combinations in EuroMillions. How do you know your combinations are not one of these worst types?

## Questions or Comments About EuroMillions

Please, I invite you to join the conversation. If you have questions about the EuroMillions game, please let me know. If you have comments about this article, then leave your comment below. Thank you for reading

- Odds, Probability, and the Lottery[]
- Top 10 Lottery Strategy Myths Debunked (Perhaps You’re Doing #4 or #10[]
- How to Win the Lottery (and Win Sooner According to Math[]
- Lottery Calculator: Knowing the Best Lotto Combinations Without a Math Degree[]
- A Lottery Number Generator That Works[]
- Lottery Addiction – Signs, Dangers and Where To Get Help[]
- Play The Lottery Responsibly[]
- The Lottery Game Plan[]

## The Huge Difference Between Odds and Probability

Odds and probability are two different terms with two different equations. The difference between the two can be best describe when we study the composition of combinations.

As a lotto player, you don’t have the power to change the underlying probability and you cannot beat the odds of the Euromillions game. But you have the power to know all the possible choices and make the right decision based on those choices.

And making the right choice is possible when you know the difference between odds and probability.

What is the difference?

Probability refers to the measurement that an event will likely occur. And we measure the likelihood by using the formula:

We normally expressed the results of this formula in percentage.

Now, to get the odds, we use this formula instead:

What you get from this formula is a ratio.

So the difference is that the probability is the measurement of chance while the odds are the ratio of success to failure.

In layman’s term, the difference between odds and probability can be described in the following way:

Probability = Chance

Odds = Advantage

That is, you cannot control the probability and you cannot beat the odds, but at least you can choose the best odds and get the best ratio of success to failure.

Let’s consider the combination 2-4-6-8-10. This combination is composed of 5 even numbers with no odd numbers. This combination belongs to the 0-odd-5-even group.

In the Euromillions game, there are 53,130 ways you can combine 5 numbers that are all even numbers and no odd numbers.

Therefore we calculate the odds of a 0-odd-5-even in the following way:

Odds of 5-even-0-odd = 53,130 / 2,065,630

This means that 2-4-6-8-10 and all similar combinations under the group of 0-odd-5-even will give you 2 or 3 opportunities to match the winning combinations for every 100 attempts that you play the Euromillions game.

As you can see, a combination such as 2-4-6-8-10 offers a very low ratio of success.

In comparison, you will have a better ratio of success when you pick a more balanced odd and even numbers.

Let’s prove that.

There are 690,000 ways you can combine numbers of type 3-odd-2-even. If we calculate the odds, we get:

Odds of 3-odd-2-even = 690,000 / 1,428,760

In simple terms, a 3-odd-2-even combination will give you the opportunity to match the winning numbers 32 to 33 times in every 100 attempts that you play the Euromillions game.

If we compare the two classes of combinations, we can see a big difference:

0-odd-5-even VS 3-odd-2-even

0-odd-5-even | 3-odd-2-even |

2 to 3 opportunities to match the winning numbers in every 100 draws | 32 to 33 opportunities to match the winning numbers in every 100 draws |

The worst ratio of success | The best ratio of success |

The worst choice | An intelligent choice |

In a random event like the Euromillions game, making an intelligent choice requires mathematical strategy. We calculate all the possible choices and finally make an intelligent choice.

Remember this: As a EuroMillions player, your objective is to get a better ratio of success to failure. Know all the possible choices and make an intelligent choice.

I explained the details of this mathematical strategy in my article The Lottery and the Winning Formula of Combinatorial Math and Probability Theory.

But to give you a gist of how to make an intelligent choice, let’s dig deeper through these combinatorial patterns below.

## Sum of Prizes Won in Each Prize Tier

The following amounts include all winners from all participating countries.

Prize | Total | % of Total |
---|---|---|

Match 5+2 | €17,761,096,913.00 | 39.49% |

Match 5+1 | €3,138,668,480.61 | 6.98% |

Match 5 | €794,246,191.90 | 1.77% |

Match 4+2 | €427,870,931.07 | 0.95% |

Match 4+1 | €333,628,868.10 | 0.74% |

Match 3+2 | €323,973,423.00 | 0.72% |

Match 4 | €276,649,495.90 | 0.62% |

Match 2+2 | €1,286,530,272.80 | 2.86% |

Match 3+1 | €1,396,594,085.00 | 3.11% |

Match 3 | €1,776,438,607.10 | 3.95% |

Match 1+2 | €3,254,508,700.50 | 7.24% |

Match 2+1 | €8,451,734,257.30 | 18.79% |

Match 2 | €5,249,614,348.20 | 11.67% |

Etoile+ Prizes* | €507,125,791.80 | 1.13% |

Grand Total | €44,978,680,366.28 | 100% |

€3,138,668,480.61

€794,246,191.90

€427,870,931.07

€333,628,868.10

€323,973,423.00

€276,649,495.90

€1,286,530,272.80

€1,396,594,085.00

€1,776,438,607.10

€3,254,508,700.50

€8,451,734,257.30

## Prize Amounts and Statistics

Here is how the EuroMillions prize fund is distributed across each of the 13 prize tiers. The table also shows statistics for the highest and lowest amount ever given away in each category, along with the highest and lowest number of winners in each tier.

Match | % Prize Fund | Odds of Winning | Lowest Ever Prize Amount | Highest Ever Prize Amount | Average Prize Amount Per Draw | Lowest Ever Winners | Highest Ever Winners | Average Winners Per Draw |
---|---|---|---|---|---|---|---|---|

5 + 2 | 50% | 1 in 139,838,160 | €17,000,000.00 | €190,000,000.00 | €59,550,482.75 | 2 | 0.2 | |

5 + 1 | 2.61% | 1 in 6,991,908 | €64,840.10 | €5,227,531.10 | €412,802.79 | 17 | 3.6 | |

5 + 0 | 0.61% | 1 in 3,107,515 | €7,000.00 | €969,918.10 | €58,999.80 | 36 | 8.3 | |

4 + 2 | 0.19% | 1 in 621,503 | €309.80 | €9,956.60 | €3,105.64 | 8 | 172 | 42 |

4 + 1 | 0.35% | 1 in 31,075 | €59.00 | €266.30 | €161.85 | 249 | 3,119 | 823 |

3 + 2 | 0.37% | 1 in 14,125 | €23.10 | €179.30 | €100.47 | 517 | 6,898 | 1,831 |

4 + 0 | 0.26% | 1 in 13,811 | €21.50 | €91.90 | €56.02 | 630 | 5,668 | 1,844 |

2 + 2 | 1.30% | 1 in 985 | €8.40 | €31.10 | €18.72 | 7,338 | 98,958 | 26,173 |

3 + 1 | 1.45% | 1 in 706 | €7.00 | €20.30 | €13.93 | 12,558 | 116,308 | 35,931 |

3 + 0 | 2.70% | 1 in 314 | €6.40 | €17.30 | €11.62 | 29,444 | 221,456 | 80,404 |

1 + 2 | 3.27% | 1 in 188 | €4.40 | €16.50 | €9.86 | 38,881 | 486,402 | 136,389 |

2 + 1 | 10.30% | 1 in 49 | €4.10 | €11.10 | €7.58 | 181,198 | 1,438,780 | 511,411 |

2 + 0 | 16.59% | 1 in 22 | €3.20 | €5.30 | €4.28 | 488,245 | 2,959,529 | 1,143,354 |

Figures calculated using results drawn between 27/09/2016 and 10/11/2020.

This column displays the percentage of the prize fund allocated to each prize level. The remaining 10% goes into a separate fund, known as the Booster Fund, which is used to ensure there is always enough for the advertised minimum jackpot of €17 million. EuroMillions occasionally holds special draws or promotions, where the guaranteed minimum jackpot can be increased up to as much as €130 million, using surplus funds from the Booster Fund.

The 50% allocated to the jackpot only applies for the first five draws in a series of rollovers. Once the top prize has rolled over five times in a row, the ‘Match 5 + 2’ allocation is adjusted down to 42% until the jackpot gets won. The remaining 8% goes to the Booster Fund, ensuring that this reserve pot receives 18% of funds from the sixth draw in a rollover series until the jackpot is won.

The lowest and highest prize amounts for each prize tier, other than the jackpot, are in respect of individual winning tickets.

The Match 5 + 2 Lucky Stars prize values represent the total jackpot amounts regardless of how many winning tickets there were.

All prize data included in the table above relates to EuroMillions lottery draw results since 27th September 2016 when the Lucky Star pool increased from 11 numbers to 12. The details provided are for information purposes only and are not indicative of future prize values.