Evromillions

Euromillions prizes & prize fund distribution

Knowing the Best and the Worst Combination Should Help

Getting the right composition will surely give you the best shot possible at winning the EuroMillions.  Of course, you don’t win any money by matching the pattern.  But as a lotto player, you want to play with a sensible strategy and get closer to the winning numbers.

Lotterycodex has no power to change the underlying probability.  But Lotterycodex can calculate all the possible choices so you can make the right choice.

The lottery should be fun.  But at least be sensible when choosing your combinations and don’t waste your money on worthless combinations.

You don’t increase your chance of winning by choosing the right composition.  But when you play the Euromillions, you want to play with the best ratio of success to failure.  So don’t waste your money on useless combinations.  Lotterycodex patterns are here to guide you on that aspect. (Check out the Lotterycodex Calculators)

I encourage you to check the free guide to learn more about how we calculate everything.  Lotterycodex is the only lottery calculator that combines combinatorics and probability calculation in one system.

If you are playing blindly, there’s no guarantee you are not falling into one of these worst patterns in EuroMillions. So I propose that you should incorporate the use of probability theory in your playing strategy.

The benefits are apparent.  First, you are confident that you are not wasting your money, and second, you get the best shot at winning the game.

The difference between the best and the worst is so huge. You don’t want to take it for granted.

We don’t say that those combinations under the worst group will not occur.  We say that those combinations have the worst ratio of success to failure.

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.

EuroMillions Syndicate Winners

There are several notable EuroMillions syndicate wins throughout the history of the game:

  • A family syndicate from County Dublin claimed the biggest ever lottery prize won in Ireland when they won €175 milion on Tuesday 19th February 2019.
  • On Friday 1st July 2016, a syndicate of Dublin bus drivers won a EuroMillions jackpot worth €23.8 million. Each of the 22 members of the group received just over €1 million and even arrived by bus to pick up their cheques!
  • On Friday 6th November 2009, a syndicate of seven office workers in Merseyside won a whopping £45.5 million when their entry was one of two British tickets that split a jackpot of £91.1 million. Each member received £6.5 million.

The Low-High Patterns Based On The Actual EuroMillions Results

Here’s another probability study using the low-high pattern.

We derive the low-high patterns using the following sets:

Low = {1,2,3,4,5,6,7,8,9,10,…,25}

High = {26,27,28,29,30,…,50}

Again, the results of the study show that EuroMillions follows the dictate of probability.

The table and the graph above reinforces the fact that the EuroMillions game is subordinate to the principle of probability.

  • 3-low-2-high is expected to appear 416 times – it occurred 468 times in the real draw.
  • 4-low-1-high is projected to appear 190 times – it appeared in 216 times in the actual draw.
  • 0-low-5-high is supposed to be drawn 32 times – it was drawn 22 times in the real draw.

As a EuroMillions player, you should pay attention to the composition of your combination and make sure that it follows either the 3-low-2-high or 2-low-3-high patterns.  And never play the rest of the low-high patterns.

Combinatorial Patterns in EuroMillions

Let me describe a mathematical method that will catapult you to Euro Million’s success.  Deep within the finite sets of EuroMillions numbers are combinatorial patterns that should tell you the best combinations to play and the worst ones to avoid.

The image above describes the complete randomness of a lottery game. It shows that the lotteries are made up of independent random draws that, when put together with time, exhibit a mathematically deterministic behavior given the law of large numbers. See The Visual Analysis of a True Random Lottery with Deterministic Outcome

Let me clarify that we don’t need statistics to determine the best combinations in a lottery game.  Statistics is not the right tool to analyze a lottery game.

So if statistical analysis will not provide the best clue, what will?

Well, since the lottery has a finite structure, any question that we ask is a combinatorial and probability problem to solve rather than statistical.

So instead of statistics, we need the concept of combinatorics and probability theory.   These two mathematical tools will help predict the general outcome of the EuroMillions game from the perspective of the law of large numbers.

This prediction is possible because a truly random lottery follows the dictate of probability.

Again, we can explain this better from the context of combinatorial patterns.

For example, we can ask:

“What is the probability that the next winning numbers will be 1-2-3-4-5?”

To solve this question combinatorially, we can rephrase the question this way:

“What is the probability that the next winning numbers will be three-odds and two-even numbers?”

Can you see it? Composition matters.

And the composition of a combination is best described using a combinatorial pattern.  You can look at combinatorial patterns in many different ways.  There are simple patterns and there are Lotterycodex patterns.

We will talk about Lotterycodex patterns later (you don’t want to miss this section).

Let’s discuss the simple ones first.

The Odds of Winning The EuroMillions

The National Lottery EuroMillions game is a 5/50 lottery format. So the rule is to pick five numbers from 1 to 50. We compute the total combinations by using the Binomial Coefficient formula.

So there are 2 million possible ways to combine five numbers in EuroMillions.  However, to win the jackpot, you are required to match the extra two lucky stars so that the actual odds become one is to 139.8 million.

If you think about your odds, you have a better chance of becoming the next Prime Minister of the U.K. In short; it is tough to win in the EuroMillions.

In perspective, on the average, you have 139.8 million attempts to win the jackpot.  If you play 100 tickets every week, then you have 1.4 million weeks or 27,000 years to hit the jackpot.

Twenty-seven thousand years is such a long time. You’ve got to be very lucky to win.

The EuroMillions lottery is a random game. You cannot predict the next winning numbers.

So, if superstitions, hot numbers, lucky numbers, quick pick, and a random selection will not help, what will?

Mathematics remains the only tool.

Most Common Triplets and Most Common Consecutive Triplets

Common Triplets: Consecutive Triplets:
Numbers Frequency
10 19 23 6
2 10 22 5
3 22 49 5
5 19 31 5
6 48 50 5
Numbers Frequency
22 23 24 3
11 12 13 2
12 13 14 2
16 17 18 2
18 19 20 2

Top 5 Highest Jackpots Won (£)

Draw Date Jackpot Winners
Friday 6th October 2017 £170,810,000 1
Tuesday 8th October 2019 £170,221,000 1
Tuesday 12th July 2011 £161,653,000 1
Tuesday 25th June 2013 £159,559,034 2
Friday 23rd February 2018 £155,597,796 2

Top 5 Highest Jackpots Won (€)

Draw Date Jackpot Winners
Tuesday 8th October 2019 €190,000,000 1
Friday 6th October 2017 €190,000,000 1
Friday 24th October 2014 €190,000,000 1
Friday 10th August 2012 €190,000,000 1
Tuesday 25th June 2013 €187,937,614 2

Top 5 Highest Number of Jackpot Winners

Draw Date Jackpot Winners
Friday 2nd September 2016 £32,837,522 5
Friday 4th February 2011 £24,368,199 5
Friday 5th October 2007 £10,425,000 5
Friday 28th April 2006 £17,970,266 4
Friday 30th September 2005 £17,020,072 4

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

How to Beat the Odds of the EuroMillions Game

Of course, you cannot beat the odds of EuroMillions.  But thankfully, math can help. There’s a way to increase your chances of winning the game.

The only way to increase your chances of winning is to buy more tickets.

But buying more tickets is useless if you’re making the wrong choices.  It’s not OK to choose 1-2-3-4-5, and 2-3-4-5-6, and 46-47-48-49-50.

I will explain why.

But first of all, I must ask you to forget about hot or cold numbers. For the longest time, people mistakenly believe that if a number frequently occurs in the past, the same number is bound to be drawn more often in the future.  This belief must be corrected.

Now, let’s proceed.

All combinations in EuroMillions 5/50 have the same probability.

It means that 1-2-3-4-5 is equally likely.

Play 2-4-6-8-10, and that is equally likely too.

Perhaps your combination is 5-10-15-20-25, this combination has the same probability as any other in the universe of Euromillions’ possible combinations.

The truth, all combinations have equal chances.

But think about this.  Consider more tickets where all numbers are picked in the form of straight combinations:

  • 1-2-3-4-5
  • 2-3-4-5-6
  • 3-4-5-6-7
  • 46-47-48-49-50

If I ask lotto players to spend their money on the above combinations, the surest response I will get is “no way.”

And why not?

That’s because people don’t trust their understanding of probability.

“Gut feeling” dominates the logic

You see, if you are confident that all combinations have the same probability, why be afraid to play all those combinations.

In other words, while you believe that all combinations have the same probability, there’s part of you that says buying “multiple tickets where all combinations are straight numbers” cannot be right.

But gut feeling shouldn’t be superior to mathematics.

If you want to win the EuroMillions game, you have to have a strong mathematical foundation.

And mathematics says:

There’s a big difference between having lots of wrong combinations and having the right combinations.

But how do we explain this mathematically?

FAQs

Some of the most frequently asked questions and answers regarding EuroMillions Plus are shown below. If you have any further questions, please don’t hesitate to contact us.

Q: Does the Match 5 top prize roll over if there are no winners?
A: No, all prizes amounts are fixed and cannot roll over.

Q: Where are the Plus numbers on my EuroMillions ticket?
A: The five main numbers you enter in the main EuroMillions draw are also used as your EuroMillions Plus numbers. Your ticket will have ‘PLUS YES’ printed on to confirm that your numbers have been entered into both draws.

Q: When do ticket sales close?
A: If you are playing online, entries close at 7:25pm every Tuesday and Friday. If you’re playing instore, it’s 7:30pm.

Q: Are the Plus results the same as the EuroMillions results?
A: No, EuroMillions Plus is a separate draw to EuroMillions and therefore has different winning numbers — however your chosen EuroMillions numbers are entered into both games when Plus is played.

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.

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.

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