Euromillions lottery

Статистика лотереи «евромиллионы»

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.

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.

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