If you are like the majority of the Euromillions players who pick numbers randomly or by quick pick, you are wasting money. Truth be told, there are worst number combinations in Euromillions that will never appear in any draw.

Many lotto players have this idea of using birth dates of their sons and daughters, select dates in their life like anniversaries, lucky numbers, horoscope numbers, and even hot numbers, etc., etc. That makes me think, 80 to 90% of Euromillions players are doing it wrong.

I recommend you start playing the Euromillions with the use of Math. You will never play the Euromillions the same way again, once you understand the mathematical method of playing the lottery. Let’s begin.

## 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 odds by using the Binomial Coefficient formula.

Therefore:

n = 50 numbers r = 5 combinations 50C5 = 2,118,760

So now we know that there are 2 million possible ways to combine numbers in Euromillions. In simple terms, the chance is said to be 1 in 2 million. However, to win the jackpot, you are required to match the lucky stars so that the actual odds now become 1 in 116,531,800 chances.

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

The Euromillions lottery is a random game. The same holds true for all the lottery systems in the world. You cannot predict the next Euromillions winning numbers. So how do we beat the odds of the Euromillions?

The solution is to look at the Euromillions odds in a different perspective. Let’s first discuss the odd-even patterns.

## The Odd-Even Patterns In the Euromillions

Mathematically, odd-even patterns do have an impact on your odds. 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. I further divide the 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 playing either the 3-odd-2-even or the 2-odd-3-even pattern. Let’s peek at the past Euromillions results and see how I came up with such conclusions.

## The Odd-Even Patterns Based On The Actual Euromillions Results

Remember that in the list of the odd-even patterns above, we also included the probability. We use the Probability value to determine how likely an event will happen in a given period.

In this case, we would like to estimate the frequency of each odd-even pattern. To take things up a notch, we will compare the estimated frequency of each odd-even pattern against the actual in Euromillions.

There are 970 draws in Euromillions from April 16, 2004, to February 28, 2017. Therefore, we estimate the frequency by multiplying Probability by 970 draws.

**Expected Frequency = Probability X 970**

In the case of 3-odd-2-even with the Probability of 0.3256621797655230, the expected frequency will be 316.

Expected Frequency(3-odd-2-even) = 0.3256621797655230 x 970 = 315.892314373 or 316

Doing similar computation with the rest of the odd-even patterns, we will come up with a completed table below:

Pattern | Expected Frequency in 970 draws | Actual Frequency in 970 draws |
---|---|---|

3-odd-2-even | 316 | 354 |

2-odd-3-even | 316 | 291 |

4-odd-1-even | 145 | 140 |

1-odd-4-even | 145 | 140 |

All-even | 24 | 25 |

All-odd | 24 | 20 |

If we compare the expected frequency with the actual frequency, you will see that values are very close.

The comparison between expected frequency and actual frequency shows no big difference which proves that Euromillions behaves in a predictable pattern. We use Mathematics to determine trending patterns.

- 3-odd-2-even is expected to appear 315x – it occurred 354 times in the real draw.
- 4-odd-1-even is projected to appear 140x – it appeared in 144 times in the actual draw.
- 0-odd-5-even is supposed to be drawn 24x – it was drawn 25 times in the real draw.

Thanks to the predictive power of Probability.

Naturally, the expected frequency and the actual frequency will not always match exactly, but I hope you are getting the power of Probability to predict the lottery (to an extent).

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

If P(pt) = is the probability of pattern pt, Then, P(pt) x 2000 draws = the number of times this pattern is estimated to occur in 2000 draws.

If we are to predict the outcome of all the odd-even patterns, we will come up with the following 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 as we apply it in Euromillions and any lottery system in the world. Let’s discuss now more complex and better patterns.

## The Best Number Pattern In Euromillions

Renato Gianella proved that not all number combinations have equal chances of occurring in the lottery in his study The Geometry Of Chance. I have conducted studies of the lottery based on Gianella’s probability method, and here I will show the best pattern to play in Euromillions.

Of course, like I always do, I will prove everything using the actual Euromillions draw.

For simplicity sake, I have divided Euromillions patterns into three groups.

Group | Patterns | Number of patterns |
---|---|---|

Best group | #1 | 1 |

Fair group | From #2 to #86 | 85 |

Bad group | From # 87 to #196 | 110 |

196 total patterns |

Based on these groups, you have an idea now that pattern #1 is the best one to play in Euromillions. To illustrate this further, the pattern #1 has a probability of 0.0424776756 which means this one occurs approximately 4x in every 100 draws.

To illustrate this further, the pattern #1 has a probability of 0.0424776756 which means this one occurs approximately 4x in every 100 draws. While pattern #170 has a probability of 0.0005663690 which means it is expected to occur only once in 2,000 draws.

Pattern | Probability | Expected occurrence |
---|---|---|

#1 | 0.0424776756 | 4x in every 100 draws |

#170 | 0.0005663690 | Once in 2,000 draws |

If you want to play Euromillions to win, then pick your numbers based on pattern #1 and stay away from pattern #170. In fact, my recommendation is to avoid the rest of the patterns and simply focus your energy on pattern #1 only.

The problem, almost 90% of the lotto players, do not know the worst combinations that will put their money down the drain. For example, here are the worst combinations in Euromillions:

Pattern | Probability | Expected Occurrence |
---|---|---|

#166 | 0.0005946875 | Once in 1,600 draws |

#182 | 0.0005097321 | Once in 2,000 draws |

#186 | 0.0003964583 | Once in 2,500 draws |

#190 | 0.0001189375 | Once in 10,000 draws |

#194 | 0.0000991146 | Once in 10,000 draws |

#196 | 0.0000594687 | Once in 16,600 draws |

View the complete list of these patterns at the lottery analysis section. Access to the private section is absolutely free.

If you are playing blindly, there’s no guarantee you are not falling into one of these worst patterns in Euromillions. So I propose to use Probability analysis when you play the Euromillions for two reasons:

1. You save money

2. You improve your chances of winning

This is how Mathematics meets the lottery. Let me show you the proof.

## Theoretical Analysis Versus Actual Euromillions Results

Below is the comparison between the expected frequency and the actual frequency for each of the pattern in Euromillions. The data covers the real 970 draws of the Euromillions from April 16, 2004, to February 28, 2017.

Pattern | Probability | Expected Frequency in 970 draws | Actual Frequency in 970 draws |
---|---|---|---|

#1 | 0.0424776756 | 41 | 41 |

#2 | 0.0212388378 | 21 | 16 |

#3 | 0.0212388378 | 21 | 22 |

#4 | 0.0212388378 | 21 | 21 |

#5 | 0.0212388378 | 21 | 21 |

… | … | … | … |

#102 | 0.0021238838 | 2 | 2 |

#103 | 0.0021238838 | 2 | 2 |

#104 | 0.0021238838 | 2 | 3 |

#105 | 0.0021238838 | 2 | 1 |

#106 | 0.0021238838 | 2 | 1 |

… | … | … | … |

#186 | 0.0003964583 | 0 | 1 |

#187 | 0.0005946875 | 0 | 0 |

#188 | 0.0005097321 | 0 | 0 |

#189 | 0.0003964583 | 0 | 0 |

#190 | 0.0001189375 | 0 | 0 |

As you see, the expected frequency is very close to the actual frequency.

Knowing your number pattern has an impact on your chances of winning as the difference between #1 and #190 is so huge. You don’t want to take it for granted. The truth is, pattern #1 will always appear the best.

## How To Play Euromillions To Win

To play the Euromillions with greater chances of winning, follow these strategies:

- Avoid the all-odd-number, and all-even-number combinations
- Focus on pattern #1 and avoid the rest