Found best distribution Pick 6 - 7 ticket wheelPrev Topic Next Topic

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Developer

Somerset
United Kingdom
Member #9,710
December 17, 2004
189 Posts
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Apr 20, 2013, 8:04 am
Hi I have not posted for some time but thought I would share a little more of my findings relating to wheels.

I wrote custom software a few years back to basically crunch through all possible combinations of draws finding all wheels.

I now have over 1.4GB of wheels and growing.

Recently I wrote another application to start cataloguing and categorizing this massive amount of data.

It completed the lower number ticket wheels fairly fast but has slowed right down now.

Every wheel is given a rank based on the probability of hitting combinations in the correct position on the tickets.

The wheel rank is calculated from every possible combination within the draw which makes it the best possible way to subjectively rank wheels. The higher the wheel rank the higher probability of the balls falling in the correct ticket positions.

OK that's enough rambling, To the wheel

I have discovered and cataloged 73,830 pick 6 wheels that hit 3 if 3 with a pool of 9 numbers and 7 tickets, there are no more 73,830 is all possibles.

I have analysed all 73,830 wheels to find wheel rank 1,017 is the best distributed wheel possible. There is only one wheel in the 73,830 possible wheels that has this rank, the next closest is 1,009 Statistically speaking over time this 1,017 ranked wheel will hit more numbers in the correct ticket positions than any other 6/9 wheel.

Ok here's the world's best distributed 3/3/9/7 wheel (hit 3 if 3 from 9 in 7 tickets.)
1. 01 02 03 04 05 07
2. 01 02 03 04 07 09
3. 01 02 05 06 07 09
4. 01 02 05 07 08 09
5. 01 03 05 06 08 09
6. 01 04 05 06 08 09
7. 02 03 04 06 07 08
Put this wheel in to let's say Cover Master and it would provide the same statistics as any other 3/3/9/7 wheel, that's ware these wheel analysis software's fall over, they fail to take into account the probability of the combinations within each ticket.

For example betting 44 45 46 47 48 49 would be bad, betting 1 10 20 30 40 49 would cover many more smaller prizes as it sits right in the middle of the normal distribution of the draw hence many more higher ranking ball placements are covered.

The above wheel is disributed to cover the best placements possible taking into account single ball, 2,3,4 and 5 number combinations, this wheel can not be improved upon as it is the best distributed 3/6/9 wheel possible.

Good luck
It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

There for any program can be reduced to 1 line that dont work.
dr san

bgonÃ§alves
Brasil
Member #92,560
June 9, 2010
3,779 Posts
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Apr 20, 2013, 8:44 am

Hello, developer, very good job!! I do not have the resources of a programmer, so I can help it, a lottery is split 49/6 in 3 pairs
Initial pair pair pair middle and end
Example = 12,15,25,26,35,45
12.15 initial pair
25.26 pair through
35.45 final pair
And make the amounts of each pair 12,15 = sum example 27 2 7 = 9
And so with the other two pairs,
And generate wheels with the sum of the separate pairs, so we have a reference in the sum
While the sum total of the six numbers were going in circles,
Then divided into 3 pairs have a base, then the algorithm will generate 0 Wheel initial pair
According to the parameters of the sum (minimum and maximum), rather than the sum overall
Must deal with three sums as are three pairs, developer, have become the three sums within the limits
From 1-9, how to convert? thank you
Developer

Somerset
United Kingdom
Member #9,710
December 17, 2004
189 Posts
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Apr 20, 2013, 9:08 am

[12 + 15 = 27] : [1 + 2 = 3] : [1 + 5 = 6] : [2 + 7 = 9]
[25 + 26 = 51] : [2 + 5 = 7] : [2 + 6 = 8] : [5 + 1 = 6]
[35 + 45 = 80] : [3 + 5 = 8] : [4 + 5 = 9] : [8 + 0 = 8]

We only end up with 9, 6, 8

Am I missing somthing?

It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

There for any program can be reduced to 1 line that dont work.
dr san

bgonÃ§alves
Brasil
Member #92,560
June 9, 2010
3,779 Posts
Offline

Apr 20, 2013, 10:29 am

Quote: Originally posted by Developer on Apr 20, 2013
[12 + 15 = 27] : [1 + 2 = 3] : [1 + 5 = 6] : [2 + 7 = 9]
[25 + 26 = 51] : [2 + 5 = 7] : [2 + 6 = 8] : [5 + 1 = 6]
[35 + 45 = 80] : [3 + 5 = 8] : [4 + 5 = 9] : [8 + 0 = 8]

We only end up with 9, 6, 8

Am I missing somthing?

hello, good job! May be the sum of each pair so the sum will be like an
Pick3. Then a lottery 49/6 to 13 million possibilities will be for 1000 (thousand) or 000-999, do not need the number of the pair just make each pair, we have three pairs of it good to have 3 pivor basis for manipulating sums, not walking in circles
Developer you ever notice that within one thousand (values ??are 3 sums as if uam pikc3) course then you have to convert back as if to convert the binary dedepois back, in our case the sum pick3 then have to note that there have sums with zero or one of three pairs already here greatly reduces later formations such sums are odd = 5,1,7
Or 6,2,4 pairs are higher or lower amounts, etc., that is predominant in the values ??of the sum is 2.57 manner, odd couple together, or of one thousand (1,000 possible to lower formations 400 masis or less) in the range the central curve of one thousand (1,000) possibilities,
Good summing up each of the number of each pair der prediction need to see this
Of course then you have to make all initial pairs 01-25 pairs central 10-38 late 30th and peers 49 3 pairs of these limits may change, we need to compare with peers Sweepstakes
Ronnie316

100

United States
Member #116,263
September 7, 2011
20,243 Posts
Offline

Apr 20, 2013, 10:41 am
Quote: Originally posted by Developer on Apr 20, 2013
Hi I have not posted for some time but thought I would share a little more of my findings relating to wheels.

I wrote custom software a few years back to basically crunch through all possible combinations of draws finding all wheels.

I now have over 1.4GB of wheels and growing.

Recently I wrote another application to start cataloguing and categorizing this massive amount of data.

It completed the lower number ticket wheels fairly fast but has slowed right down now.

Every wheel is given a rank based on the probability of hitting combinations in the correct position on the tickets.

The wheel rank is calculated from every possible combination within the draw which makes it the best possible way to subjectively rank wheels. The higher the wheel rank the higher probability of the balls falling in the correct ticket positions.

OK that's enough rambling, To the wheel

I have discovered and cataloged 73,830 pick 6 wheels that hit 3 if 3 with a pool of 9 numbers and 7 tickets, there are no more 73,830 is all possibles.

I have analysed all 73,830 wheels to find wheel rank 1,017 is the best distributed wheel possible. There is only one wheel in the 73,830 possible wheels that has this rank, the next closest is 1,009 Statistically speaking over time this 1,017 ranked wheel will hit more numbers in the correct ticket positions than any other 6/9 wheel.

Ok here's the world's best distributed 3/3/9/7 wheel (hit 3 if 3 from 9 in 7 tickets.)
1. 01 02 03 04 05 07
2. 01 02 03 04 07 09
3. 01 02 05 06 07 09
4. 01 02 05 07 08 09
5. 01 03 05 06 08 09
6. 01 04 05 06 08 09
7. 02 03 04 06 07 08
Put this wheel in to let's say Cover Master and it would provide the same statistics as any other 3/3/9/7 wheel, that's ware these wheel analysis software's fall over, they fail to take into account the probability of the combinations within each ticket.

For example betting 44 45 46 47 48 49 would be bad, betting 1 10 20 30 40 49 would cover many more smaller prizes as it sits right in the middle of the normal distribution of the draw hence many more higher ranking ball placements are covered.

The above wheel is disributed to cover the best placements possible taking into account single ball, 2,3,4 and 5 number combinations, this wheel can not be improved upon as it is the best distributed 3/6/9 wheel possible.

Good luck
Can you give me 7 lines to play on every MM draw?
dr san

bgonÃ§alves
Brasil
Member #92,560
June 9, 2010
3,779 Posts
Offline

Apr 20, 2013, 11:09 am

Hello, developer, we make three choices of pairs of the array of 49/6
For example when one of the training was provided for 187
So 1 is the first pair of 8 and 7 2nd pair 3rd pair
Must make all pairs of each section, following training provided for when converting back ok
MonEl

United States
Member #132,094
August 26, 2012
1,243 Posts
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Apr 20, 2013, 12:01 pm

I am sure that is great, but the Tx Lotto is a 6/54 game and it only pays out:

3 of 6 = $3

Wheels for these might be of more use:

5 of 6 $6,596

4 of 6 $52

54 numbers is too many and our pick 5 pays next to nothing on all prizes.

Our best bet here for jackpot kind of games might be the Tx2Step a 4/35 + 1/35.

3 of 4 and 4 of 4 wheels for the Tx2Step might be of more use for us here on Tx.

Thanks a lot anyway.
MonEl

United States
Member #132,094
August 26, 2012
1,243 Posts
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Apr 20, 2013, 12:04 pm

Well, the TxCash5 does sometimes pay out depending on how many people win:

4 of 5 = $477

So pick 5 wheels that hit 4 numbers right would be of use for us here.
Developer

Somerset
United Kingdom
Member #9,710
December 17, 2004
189 Posts
Offline

Apr 20, 2013, 12:12 pm

I have many pick 5 wheels, I just need to rank them as explained in the first post.

I will be starting this process soon, I play the EuroMillions which is a pick 5 game so I would like to know I am playing the best odds.

When done I will post a 7 ticket will for pick 5.

It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

There for any program can be reduced to 1 line that dont work.
Ronnie316

100

United States
Member #116,263
September 7, 2011
20,243 Posts
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Apr 20, 2013, 7:04 pm

Quote: Originally posted by Developer on Apr 20, 2013
I have many pick 5 wheels, I just need to rank them as explained in the first post.

I will be starting this process soon, I play the EuroMillions which is a pick 5 game so I would like to know I am playing the best odds.

When done I will post a 7 ticket will for pick 5.

Thanks, I hope your work includes 5/56 game. Im looking for 7 or up to 20 lines.
BobP

Dump Water Florida
United States
Member #380
June 5, 2002
3,573 Posts
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Apr 21, 2013, 5:39 am

Personally I would prefer a (9,6,3,3)=7 wheel that concurrently covers (9,6,5,6)=7 100%

1 2 3 4 5 9
1 2 5 6 7 9
1 2 5 7 8 9
1 3 4 5 7 9
1 3 5 6 8 9
1 4 5 6 8 9
2 3 4 6 7 8

BobP
SergeM

Economy class
Belgium
Member #123,694
February 27, 2012
4,035 Posts
Offline

Apr 21, 2013, 8:30 am

Covering triads

0 0

1 48 llllllllllllllllllllllllllllllllllllllllllllllll

2 18 llllllllllllllllll

3 16 llllllllllllllll

4 2 ll

48 triads will result in a minor loss for probably every pick 6 lotto in the world. 4/9 will pay everywhere. A full wheel will result in a minor net win with 3/9. It won't pay for keno.
Developer

Somerset
United Kingdom
Member #9,710
December 17, 2004
189 Posts
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Apr 21, 2013, 2:17 pm

Interesting this, I plain to be looking in to Keno soon.

The wheel I posted is to be used on Jackpot games, I have no idea how it stands in Keno.

All wheels produce loss, at the end of the day no matter how good the wheel you cant beat the mathematical odds imposed by the rules set by the organizers.

If you could find a wheel that tipped the odds it wouldnt be long before

A: The game closed
B: They changed the game rules.

However we all still play in the hope .

It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

There for any program can be reduced to 1 line that dont work.
Developer

Somerset
United Kingdom
Member #9,710
December 17, 2004
189 Posts
Offline

Apr 21, 2013, 6:29 pm
Quote: Originally posted by BobP on Apr 21, 2013

Personally I would prefer a (9,6,3,3)=7 wheel that concurrently covers (9,6,5,6)=7 100%

1 2 3 4 5 9
1 2 5 6 7 9
1 2 5 7 8 9
1 3 4 5 7 9
1 3 5 6 8 9
1 4 5 6 8 9
2 3 4 6 7 8

BobP
Hi Bob

I have analysed the wheel and it is very good, who created it? I pasted it into my custom software and here is what I found

The wheel you posted is listed in my database as wheel number 22,568 of 73,830 possible and It's a very good wheel, up there with the best of them.
- 1 2 3 4 5 9
- 1 2 5 6 7 9
- 1 2 5 7 8 9
- 1 3 4 5 7 9
- 1 3 5 6 8 9
- 1 4 5 6 8 9
- 2 3 4 6 7 8
- 2 Ball combos = 36 out of 105 possible in 7 tickets 34.28%
- 3 Ball combos = 84 out of 140 possible in 7 tickets 60%
- 4 Ball combos = 84 out of 105 possible in 7 tickets 80%
- 5 Ball combos = 39 out of 42 possible in 7 tickets 92.86%
- 6 Ball combos = 7 out of 7 possible in 7 tickets 100%
- 2 Ball combos covered in the 9 numbers = 36 out of 36 : 100%
- 3 Ball combos covered in the 9 numbers = 84 out of 84 : 100%
- 4 Ball combos covered in the 9 numbers = 84 out of 126 : 66.67%
- 5 Ball combos covered in the 9 numbers = 39 out of 126 : 30.95%
- 6 Ball combos covered in the 9 numbers = 7 out of 84 : 8.33%
Total ways to win = 214 / 420 combinations in 9 numbers 50.95%

----------------------------------------------------------------------

My wheel
1. 01 02 03 04 05 07
2. 01 02 03 04 07 09
3. 01 02 05 06 07 09
4. 01 02 05 07 08 09
5. 01 03 05 06 08 09
6. 01 04 05 06 08 09
7. 02 03 04 06 07 08
- 2 Ball combos = 36 out of 105 possible from 7 tickets 34.28%
- 3 Ball combos = 84 out of 140 possible from 7 tickets 60%
- 4 Ball combos = 85 out of 105 possible from 7 tickets 80.95% (1 more 4 ball combo covered than yours)
- 5 Ball combos = 39 out of 42 possible from 7 tickets 92.85%
- 6 Ball combos = 7 out of 7 possible from 7 tickets 100%
- Total ways to win = 215 / 420 combinations in 9 numbers 51.19%
- 2 Ball combos covered in 9 numbers = 36 out of 36 : 100%
- 3 Ball combos covered in 9 numbers = 84 out of 84 : 100%
- 4 Ball combos covered in 9 numbers = 85 out of 126 : 67.46% (1 more 4 ball combo covered than yours)
- 5 Ball combos covered in 9 numbers = 39 out of 126 : 30.95%
- 6 Ball combos covered in 9 numbers = 7 out of 84 : 8.33%
- Total ways to win = 215 / 294 possible from 7 tickets 73.13%
As you can see there's very little in it, my wheel covers 1 additional 4 ball combination which does increase the odds of winning a prize.

However your wheel provides 100% guarantee of a match 5 prize if you hit 6 where as my wheel provides a 95.2% guarantee of a match 5 prize if you hit 6.

So it depends on what your target prize is, maximum coverage of combinations or go for the hit 5

Statistically the odds are better at hitting the 4 ball combination but at the end of the day they are both excellent wheels and I would be happy to play either.

Jamie
It has been said every software has a bug in it, it has also been said that every program can be reduced by one line of code.

There for any program can be reduced to 1 line that dont work.
BobP

Dump Water Florida
United States
Member #380
June 5, 2002
3,573 Posts
Offline

Apr 22, 2013, 6:28 am

I loaded your wheel into CoverMaster and checked both the Quick and Detailed reports and saw some open covers within your design, closest target was 95% 5if6. Changed from 3if3 to 5if6 and ran the Optimizer, to see if I could close the 5if6 cover and still have everything else. I like wheels within wheels, covered for multiple possible outcomes, what can I say.

Holy Grail. (12,6,3,4) + (12,6,4,6) = 6

This is about as close as I can get.

1 2 3 6 11 12
1 2 4 5 6 7
1 5 8 9 10 12
2 3 4 8 9 10
3 4 5 7 11 12
6 7 8 9 10 11

100% (12,6,4,6)
96.36% (12,6,3,4)

BobP

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0	0
1	48	llllllllllllllllllllllllllllllllllllllllllllllll
2	18	llllllllllllllllll
3	16	llllllllllllllll
4	2	ll

5 of 6	$6,596
4 of 6	$52

Found best distribution Pick 6 - 7 ticket wheelPrev TopicNext Topic

Found best distribution Pick 6 - 7 ticket wheelPrev Topic Next Topic