Consecutive Numbers for a 649 Lotto

[PAB]

Hi Everyone,

I was playing around with Consecutive Numbers ( the UK 649 Main Lotto ) in the week and came up with the following Statistics ( for what they are worth ). I wondered how many times Consecutive Numbers had come up from one Column to the Next ( after Numerical Sorting for each Draw ).
It would be nice to know if the Total Combinations available are correct for each of the Statistics below so I could work out if the figures are Above or Below the Expected Norm.
I am not sure what the benefit of knowing this information will be, but at least we can see if the Lotto is performing to the Expected Norm.

Consecutive Numbers ( As Per Number Position ) Analysis
Doubles Times Drawn Percentage Combs
Columns 1-2 75 1.48% 44
Columns 2-3 74 1.46% 44
Columns 3-4 85 1.68% 44
Columns 4-5 89 1.76% 44
Columns 5-6 87 1.72% 44
Totals > 410 8.11% 220

Triples Times Drawn Percentage Combs
Columns 1-2-3 8 0.16% 44
Columns 2-3-4 17 0.34% 44
Columns 3-4-5 8 0.16% 44
Columns 4-5-6 6 0.12% 44
Totals > 39 0.77% 176

Quadruples Times Drawn Percentage Combs
Columns 1-2-3-4 0 0.00% 44
Columns 2-3-4-5 0 0.00% 44
Columns 3-4-5-6 0 0.00% 44
Totals > 0 0.00% 132

QuintuplesTimes Drawn Percentage Combs
Columns 1-2-3-4-5 0 0.00% 44
Columns 2-3-4-5-6 0 0.00% 44
Totals > 0 0.00% 88

Sextuples Times Drawn Percentage Combs
Columns 1-2-3-4-5-6 0 0.00% 44
Totals > 0 0.00% 44

The other idea that I came up with was that there are ( I am sure someone will correct me if I am wrong ) 31 different Combinations of 6 Numbers in regard to Consecutive Numbers. They are :-

Variations of Consecutive Numbers Within Each 6 Numbers

Consecutives ( 1 Double )
Columns 1,2 44 Combs
Columns 2,3 44 Combs
Columns 3,4 44 Combs
Columns 4,5 44 Combs
Columns 5,6 44 Combs

Consecutives ( 2 Doubles )
Columns 1,2 & 3,4
Columns 1,2 & 4,5
Columns 1,2 & 5,6
Columns 2,3 & 4,5
Columns 2,3 & 5,6
Columns 3,4 & 5,6

Consecutives ( 3 Doubles )
Columns 1,2 & 3,4 & 5,6

Consecutives ( 1 Triple )
Columns 1,2,3 44 Combs
Columns 2,3,4 44 Combs
Columns 3,4,5 44 Combs
Columns 4,5,6 44 Combs

Consecutives ( 1 Triple + 1 Double )
Columns 1,2,3 & 4,5
Columns 1,2,3 & 5,6
Columns 2,3,4 & 5,6
Columns 3,4,5 & 1,2
Columns 4,5,6 & 1,2
Columns 4,5,6 & 2,3

Consecutives ( 2 Triples )
Columns 1,2,3 & 4,5,6

Consecutives ( 1 Quadruple )
Columns 1,2,3,4 44 Combs
Columns 2,3,4,5 44 Combs
Columns 3,4,5,6 44 Combs

Consecutives ( 1 Quadruple + 1 Double )
Columns 1,2,3,4 & 5,6
Columns 3,4,5,6 & 1,2

Consecutives ( 1 Quintuple )
Columns 1,2,3,4,5 44 Combs
Columns 2,3,4,5,6 44 Combs

Consecutives ( 1 Sextuple )
Columns 1,2,3,4,5,6 44 Combs

It would also be nice to know how many Total Combinations are available for each of the above.

Also, is there an easy way to put a table of information on a thread to stop it going all skewy.

Any help would be greatly appreciated.

Best Regards
PAB

 

[PAB]

Hi,

Has anybody had any luck with the above.

Best Regards
PAB

 

[Rebeckah]

I set up some data for the MegaMillions game which is a 5+1... so I had to track P 1 + BB, P 2 + BB, etc...

There's 48 consecutive sets in a 6/49. You can make it 49 by using 1-49 as a consec set. That way each # has the same amount of pairings. {2}

I don't know how you could determine an expected norm for consec sets hitting. It's one of those independent variables. Meaning there's no way to determine static statistics on it. How could you determine 3/10 games {whatever} should have a set? How would you go about determining that? It's a great idea! I think you should keep working on it as you might stumble into a new lotto concept that'll revolutionize the industry.

Something you can do is get CS info on every 6/49 game & make an average from that? It would be a big undertaking but would be very interesting to see.

In MegaMillions the longest skip without a consec set hitting has been 7. There's been 76 games with a consec, from 179 games.
that's 42% of MM games have a consec set. thanks for the motivation to check my game.

 

[GillesD]

Theorical consecutives

Here is the number of combinations for each possibility of doubles, triples, etc.

- no consecutive: 7,059,052 combinations or 50.48% (only 1 possible set-up)
- 1 double: 5,430,040 combinations or 38.83% (with 5 possible set-ups each having 1,086,008 combinations)
- 2 doubles: 814,506 combinations or 5.82% (with 6 possible set-ups each having 135,751 combinations)
- 3 doubles: 13,244 combinations or 0.09% (only 1 possible set-up)
- 1 triple: 543,004 combinations or 3.88% (with 4 possible set-ups each having 135,751 combinations)
- 1 triple and 1 double: 79,464 combinations or 0.57% (with 6 possible set-ups each having 13,244 combinations)
- 2 triples: 946 combinations or 0.01% (only 1 possible setup)
- 1 quadruple: 39,732 combinations or 0.28% (with 3 possible set-ups each having 13,244 combinations)
- 1 quadruple and 1 double: 1,892 combinations or 0.01% (with 2 possible set-ups each having 946 combinations)
- 1 quintuple: 1,892 combinations or 0.01% (with 2 possible set-ups each having 946 combinations)
- 1 sextuple: 44 combinations or 0.00% (only 1 possible setup)

I define a set-up as the possible position of consecutives among the 6-number combination. These are described in PAB's posting starting this thread

 

[PAB]

Consecutive Numbers for a 727 Lotto

Hi GillesD,

Thanks for the Theoretical Statistical Information, Excellent work as per normal.
Would it be possible for the same Information for a 727 Lotto. As you can appreciate there will be potentionally far more Consecutive Numbers in any 1 Draw.
The Consecutive Numbers Variations are as follows :-

None
2
2 + 2
2 + 2 + 2
3
3 + 2
3 + 2 + 2
3 + 3
4
4 + 2
4 + 3
5
5 + 2
6
7

Thanks very much
PAB

 

[GillesD]

Consecutives in a 7/27 lottery

Here is the number of combinations for each possibility of doubles, triples, etc. in a 7/27 lottery:

- No consecutives: 116,280 combinations or 13.09% of total with 1 possible setup
- 2 consecutives: 325,584 combinations or 36.66% of total with 6 possible setups
- 2 + 2 consecutives: 203,490 combinations or 22.91% of total with 10 possible setups
- 2 + 2 + 2 consecutives: 23,940 combinations or 2.70% of total with 4 possible setups
- 3 consecutives: 101,745 combinations or 11.46% of total with 5 possible setups
- 3 + 2 consecutives: 71,820 combinations or 8.09% of total with 12 possible setups
- 3 + 2 + 2 consecutives: 3,990 combinations or 0.45% of total with 3 possible setups
- 3 + 3 consecutives: 3,990 combinations or 0.45% of total with 6 possible setups
- 4 consecutives: 23,940 combinations or 2.70% of total with 4 possible setups
- 4 + 2 consecutives: 7,980 combinations or 0.90% of total with 6 possible setups
- 4 + 3 consecutives: 420 combinations or 0.05% of total with 2 possible setups
- 5 consecutives: 3,990 combinations or 0.45% of total with 3 possible setups
- 5 + 2 consecutives: 420 combinations or 0.05% of total with 2 possible setups
- 6 consecutives: 420 combinations or 0.05% of total with 2 possible setups
- 7 consecutives: 21 combinations or 0.00% of total with 1 possible setup

 

[PAB]

Hi GillesD,

I just realised that I did not thank you for the above Information, sorry about that and thanks.

All the Best
PAB