Lotterycodex Mathematics Meets The Lottery

How to Win the UK Lotto 6/59 According to Math


There’s no way to predict the next winning combination in the lottery, but you can improve your chances when you play with mathematical strategy.

My analysis of the UK Lotto 6/59 shows that only one number pattern exhibits high probability and as I always say, the key factor to your strategy is in the combination pattern.

If you use quick pick, important dates, hot numbers, or cold numbers, and many other baseless lotto playing strategies, chances are, you fell into one of these worst combinations in the UK Lottery. To me, playing with these bad numbers are just “waste of money.”

In this article, I’ll show you how to use Mathematics to pick better UK Lotto numbers with high chances of winning.

how to win the UK Lotto 6/59 according to mathematics

The Odds Of Winning The UK Lotto

The new UK Lotto’s 6/59 format produces a total of 45,057,474 possible combinations. Therefore, there is one chance in 45 million.

The odds of winning the jackpot in UK Lotto are one of the hardest to win in the world of lottery along with the Powerball, Mega Millions and the 5/90 lottery systems in Africa. So someone will win the next big jackpot of the UK Lotto and chances are it won’t be you.

The common adage that you are more likely get killed by a shark than winning the lottery may be true.  Of course, if you don’t swim in the ocean, the possibility that you get killed by a shark is impossible. The same holds true in the lottery. You have to be in it to win it.

So how to win the UK Lotto? Math can surely help. As I said, the key factor in your playing strategy should be focused on “number pattern.” So, let’s talk about simple odd-even patterns first.

Odd-Even Patterns In The UK Lotto

Mathematically, counting the odd and even numbers play a crucial role in your chances of winning the UK Lotto. Pick the wrong number of odd and even in your combinations and you are leaving the money on the table.

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

Patterns Combinations Probability
3-odd-3-even 14835240 0.3292514800097320
4-odd-2-even 11126430 0.2469386100072990
2-odd-4-even 10331685 0.2293001378639200
5-odd-1-even 4132674 0.0917200551455681
1-odd-5-even 3562650 0.0790690130565242
6-odd-0-even 593775 0.0131781688427540
6-even-0-odd 475020 0.0105425350742032
45,057,474 1

I divided the patterns into three groups.

Best Patterns Fair Patterns Bad Patterns
3-odd-3-even 4-odd-2-even 5-odd-1-even
2-odd-4-even 1-odd-5-even

Based on the table above, only one pattern is the best in UK Lotto. Although you can play the fair patterns, I recommend focusing on the best one and avoid the rest at all cost.

Bad patterns are just waste of time and money. Let me prove it mathematically.

Odd-Even Patterns According To The Actual Results Of The UK Lotto

In this section, I will compare the theoretical analysis with the actual results of the UK Lottery. 147 draws already took place in UK Lotto from October 10, 2015, to March 08, 2017.

We get the expected frequency of each pattern by multiplying the Probability by the number of draws.

Expected Frequency = Probability x 147 draws

In the case of 3-odd-3-even, the expected frequency is 48.

Expected frequency = 0.3292514800097320 x 147 = 48.3999675614

Doing the same computation with the rest of the patterns, we will come up with the following comparison table below:

Patterns Expected frequency in 147 draws Actual frequency in 147 draws
3-odd-3-even 48 44
4-odd-2-even 36 42
2-odd-4-even 34 36
5-odd-1-even 13 10
1-odd-5-even 12 10
6-odd-0-even 2 4
6-even-0-odd 2 1
147 147

Probability estimation compared to the actual results of the UK lotto 6/59

The table above shows that there is no big difference between the expected frequency and the actual frequency which proves that UK Lotto behaves in a predictable pattern.

The 3-odd-3-even pattern is expected to appear 48x – it occurred 44 times in the actual draw. While the 2-odd-4-even pattern is projected to appear 33x – it occurred in 36 times. And the 6-even-0-odd pattern is supposed to appear 2x – it occurred once.

That’s the power of Mathematics. We can determine how the lottery will likely perform in a given period. Thanks to the power of Probability.

For example. If we want to know in advance the outcome of UK Lottery in 1000 draws, we use Probability.


Expected frequency (3-odd-3-even) = 0.3292514800097320 x 1000 draws

Therefore, for 3-odd-3-even, the expected frequency is 329.2514800097320 or 329

If we are to predict the outcome of all the odd-even patterns, we know it will always be the 3-odd-3-even that will stand out.

Patterns Probability Expected Frequency
3-odd-3-even 0.3292514800097320 329
4-odd-2-even 0.2469386100072990 247
2-odd-4-even 0.2293001378639200 229
5-odd-1-even 0.0917200551455681 92
1-odd-5-even 0.0790690130565242 79
6-odd-0-even 0.0131781688427540 13
6-even-0-odd 0.0105425350742032 11

However, there’s more to UK Lottery than just odd and even. Now, let’s talk about advanced patterns.

The Best Pattern Of The UK Lotto

The UK Lotto has a total of 462 patterns, and I consider 431 of those patterns are bad and only one is the best.  The UK Lotto is divided into three groups.

Group Patterns Number of patterns
Best patterns Patterns #1 1
Fair patterns Patterns #2 to #31 30
Bad patterns Patterns #32 to #462 431
462 total patterns

It’s free to access the complete list here.

Only one pattern stands out in the UK, and that is Pattern #1 which has a probability of 0.0199744886. In other words, this pattern occurs approximately 2x in every 100 draws.

The table below shows some of the UK Lottery patterns:

Pattern Probability Expected occurrence
#1 0.0199744886 2x in every 100 draws
#29 0.0079897954 7x in every 1000 draws
#30 0.0079897954 7x in every 1000 draws
#31 0.0079897954 7x in every 1000 draws
#320 0.0008389285 8x in every 10,000 draws
#321 0.0008389285 8x in every 10,000 draws
#322 0.0004660714 4x in every 10,000 draws

The majority of the UK Lotto players are not aware of the patterns they are playing.  Blindly playing as they call it. Meaning, more often, they fell on those number patterns that will only waste their money.

The table below shows some patterns that will never appear in a lottery draw.

Pattern Probability Expected Occurrence
#458 0.0000046607 4x in every 1,000,000 draws
#459 0.0000046607 4x in every 1,000,000 draws
#460 0.0000046607 4x in every 1,000,000 draws
#461 0.0000046607 4x in every 1,000,000 draws
#462 0.0000018643 Once in every 1,000,000 draws

See the complete list here

So with Mathematical strategy, players get two benefits:

  1. Saves money
  2. Increases chances of winning

So there you go, numbers don′t lie.

How To Play The UK Lotto To Win

To have a greater chance of winning the UK Lotto, I recommend the following:

  1. Use the 3-odd-3-even, 4-odd-2-even, 2-odd-4-even combinations
  2. Focus on number patterns with high probability especially Pattern #1.

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Lotterycodex Mathematics Meets The Lottery

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Edvin Hiltner

I get a good grasp of mathematical theory through persistent learning. I get my inspirations from the works of Gerolamo Cardano and Renato Gianella in the fields of Combinatorics and Probability theory.

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