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The Best Combinations In EuroJackpot

With the use of advanced combinatorial design, we can finally see the best and the worst combinations in the EuroJackpot game.

As a lotto player, your goal is to win the jackpot. Therefore, you should use these patterns to lead your way in that direction.

Using the advanced method of combinatorics, we can further classify EuroJackpot patterns into three groups.

Best Group Middle Group Worst Group
Patterns #1, #2 Patterns #3 to #28 Patterns #29 to #56
2 patterns 26 patterns to avoid 28 patterns to avoid

From the table, the best patterns in EuroJackpot are patterns #1 and #2.

Let me give you a hint of how they work.

Pattern #56 has a probability of 0.0003738035, which means this pattern is expected to occur more or less four times in every 10,000 draws.

However, many EuroJackpot players pick their combinations from the worst group. And they aren’t aware that their combinations are all useless according to probability.

If you have been playing the EuroJackpot game for a long time now, chances are you probably picked one of these worst combinations.

Your goal as a EuroJackpot player is to win the jackpot. Therefore, you should choose between pattern #1 and pattern #2 or maybe play both of them. And you should avoid pattern #29 to #56. It is as simple as that.

There are millions of these worst combinations in EuroJackpot. But how do you know you are picking the correct combinations? Knowing the best patterns should help.

If you continue to play the EuroJackpot Lottery blindly, you will continue to fall into one of these worst patterns and waste money for the rest of your life.

Of course, it is not to say that those combinations under the worst group will not occur in a lottery draw. They do occur. I am getting at that those combinations under the worst group are less likely to happen according to probability theory.

According to my probability study of the EuroJackpot game, patterns #1 and #2 will occur more frequently and will continue to dominate the EuroJackpot game as more draws take place. That’s a mathematical certainty according to the law of large numbers.

Why You Are Not Winning the EuroJackpot 5/50 Game

It’s not easy to win the EuroJackpot game. From a layman’s perspective, if you play one ticket each time, it takes 95 million attempts (probably more) to win the jackpot.

But apart from the odds, one of the main reasons why you are not winning the EuroJackpot is that you use the wrong strategy. And you aren’t even aware that you’re doing it all wrong.

And that’s the worst thing, you can’t fix something that you don’t know exists.

For example, if you play the game randomly or by using a quick pick method, special dates, hot numbers, cold numbers, or even using whimsical beliefs such as lottery spell, psychic reading, horoscope reading, numerology, or any superstitious approach, chances are you’ve been wasting money playing the lottery.

All these approaches don’t understand how numbers behave in a random game. If your goal is to win the EuroJackpot, then you should have a full grasp of how random event behaves from a probability point of view.

And fortunately for lotto players, a lottery game can be deterministic despite being a truly random game.

The picture above suggests that a truly random game provides sensible tips on how not to be mathematically wrong when you pick numbers. See The Visual Analysis of a True Random Lottery with Deterministic Outcome.

Many lotto players get used to “hot and cold numbers.” People gather the previous draws and use statistics to determine which numbers are hot and which numbers are cold. So many players believe that statistics can give a clue on how to win the EuroJackpot.

Truth be told, you don’t need statistics to understand how a random game like the EuroJackpot game works. And this belief must be corrected once and for all.

So many people believe that statistics is the same as probability. No. They are not the same.

Now, you may ask. If statistics will not help me, what will?

Well, there are two mathematical tools you can use. First is combinatorics (or combinatorial mathematics). Then the second one is the probability theory.

The two mathematical tools are the keys to help you understand the finite possibilities in a lottery game.

Let me give you a few hints of how these two mathematical tools work together in a EuroJackpot 5/50 game. At the end of this article, I expect you to realize the difference between the best and worst combinations.

But before we jumped into the exact calculation, we have to discuss some important aspects in a random lottery game.

Odd-Even Patterns From The Actual EuroJackpot Results

In this section, I will compare the theoretical prediction with the actual results of the EuroJackpot.

Math does not lie. So my probability estimation should match closely with the actual results.

First, we need to compute the expected frequency of each number pattern. We use the following formula:

Expected frequency = Probability X number of draws

There are 410 draws in EuroJackpot from March 23, 2012, to January 31, 2020. So in the case of 3-odd-2-even, we multiply 0.3256621797655230 by 410 draws.

Therefore, we get:

We round up the numbers, so the final answer is 134.

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

Notice the agreement between prediction and actual results. That’s the predictive power of probability.

The agreement between prediction and the actual results only proves one thing: the EuroJackpot game follows the dictate of probability.

The probability prediction shows that the best odd-even pattern to play in EuroJackpot is either 3-odd-2-even or 3-even-2-odd.

How to Win the EuroJackpot Game

Like I always say and preach, the lottery is a random game. No one can predict the next winning combinations. However, math offers an ingenious solution. You can do something to get the best shot possible.

For the EuroJackpot 5/50 game, you should focus on number patterns with high probability, especially patterns #1 and #2. You get the details of how these patterns are obtained in the free guide section, plus you get to use a lottery calculator that will save you from the manual calculation.

As they say, in winning the lottery vs getting struck my lightning scenario, people tend to believe that lightning wins. Of course, it’s your choice that matters. Do you want to win the EuroJackpot or do you want to die from lightning?

Your choice will dictate what you are going to do next.

All numbers and combinations in the EuroJackpot game have an equal probability

In a truly random game, there are two things you cannot change and manipulate.

First, you cannot change and manipulate the underlying probability.

Second, you cannot beat the odds of the lottery no matter what you do.

BUT here is the thing, as a lotto player, you have the power to choose.

So in a lottery game, your choice matters.

And we use mathematics to calculate all the possibilities to help you make the right choice and never be mathematically wrong most of the time.

According to probability, all numbers and combinations have the same probability.

This means that a combination of type 1-2-3-4-5 is equally likely as any other combinations in the universe of EuroJackpot’s 2,118,760 possible choices.

So if all combinations have the same probability, how do we separate the best from the worst ones.

Well, it’s high time we define the difference between odds and probability.

Odds and probability are not mathematically the same. They have different meaning.

We use probability to measure the likelihood of an event while we use the odds to measure the ratio of success to failures.

Below is the formula we use to calculate the probability:

And we express the formula below to indicate the odds:

So in the calculation of possibilities, odds will provide a better picture of your advantage. This calculation helps you choose the best ratio of success to failure.

Let me give you an example.

There are 53,130 ways you can make a 5-even-0-odd combination.

Since there are 2,118,760 possible combinations in a 5/50 game, we can calculate the odds this way:

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

This means that a combination of type 5-even-0-even will give 2 or 3 opportunities to match the winning numbers for every 100 attempts that you play the Eurojackpot game.

Let’s compare that to a more balanced class of combinations such as 3-odd-2-even.

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

The odds of 3-odd-2-even indicates that you have 32 to 33 opportunities to match the winning numbers for every 100 attempts that you play.

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

5-even-0-odd 3-odd-2-even
53,130 ways to win 690,000 ways to win
2,065,630 ways to fail 1,428,760 ways to fail
2 to 3 opportunities to match the winning numbers out of 100 attempts. 32 to 33 opportunities to match the winning numbers out of 100 attempts.
HIGH RATIO OF FAILURE HIGH RATIO OF SUCCESS

As you can see, these mathematical calculations enable you to know the ratio of success to failure and thereby giving you the power to make the right choice.

That is how math can help you make an intelligent decision when you play lotto.

But there are more to combinatorial patterns than meets the eye.

To have a full grasp of the method involved, it’s best if we start understanding the finite nature of the Eurojackpot game from the very basic down to the advanced concept.

In this article, we will cover the following:

  1. The behavior of odd-even number patterns
  2. The behavior of low-high number patterns
  3. The power of an advanced combinatorial design (you should not miss this one)

Let me start the discussion with a simple odd-even pattern analysis.

The Odd-Even Patterns In EuroJackpot

The odd and even numbers play a vital role in your number selection strategy. Pick the wrong odd-even composition, and you already lose the game even before you start.

To illustrate, we can divide the numbers 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}

From the two sets above, we can derive the odd-even patterns with a corresponding probability table below:

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 first two patterns are the best ones to play in EuroJackpot. I divide these patterns into three groups.

Best Patterns Fair Patterns Bad Patterns
3-odd-2-even 1-odd-4-even All-even-numbers
2-odd-3-even 1-even-4-odd All-odd-numbers

Based on the table above, I recommend players to focus on the best ones and avoid the rest. In EuroJackpot, the best odd-even patterns are 3-odd-2-even and 2-odd-3-even. Then, forget the rest of the patterns as they are a waste of time and money.

Let me prove my point by comparing a couple of calculations with the actual EuroJackpot results.

Predicting the Outcome of the EuroJackpot Game

As you see, the actual EuroJackpot results prove that probability works.

Thanks to probability because we have the means to know the best and the worst one. It’s the same tool we use to predict the outcome of the lottery (to an extent).

For example, if we want to know in advance the outcome of EuroJackpot after 2000 draws, we use this formula below:

If we continue to use the same calculation for the rest of the patterns, we will come up with the following EuroJackpot predictions:

Pattern Probability Estimated Frequency 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
5-odd-0-even 0.0250759878419453 50 times
5-even-0-odd 0.0250759878419453 50 times

The difference between the best and the worst patterns is huge.

That is the basic idea of using math in your lottery game. With probability, you know how to play EuroJackpot with the best shot possible.

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