Is it possible to create lottery wheels with weights?Prev TopicNext Topic

• dr san

  

  bgonçalves
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  June 9, 2010
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  Jan 5, 2025, 6:37 am

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  Is it possible to create lottery wheels with weights? In other words, if you want certain numbers to appear more often in the total bets, of course there are no guarantees, e.g. I want the digits 8 and 5 to appear 10 times, in a total of 30 bets.
• Stack47

  

  Kentucky
  United States
  Member #32,651
  February 14, 2006
  10,528 Posts
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  Jan 5, 2025, 6:29 pm

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  Thought maybe you're looking for a "key number wheel" but with that type of wheel the key number or numbers appear on all the combinations. An unbalanced wheel has one or two numbers on more lines than other numbers, but usually not on the 1/3 you're looking for. 

  For a pick 6 lotto type game, use a 30 line pick 5 wheel and then create a pick 6 wheel by adding your two or three numbers. You may have to make your own wheel using a wheel maker.

  "Some people have something to say while other people feel the need to say something"
• MillionsWanted

  

  Norway
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  Jan 5, 2025, 7:43 pm

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  They exist. Look at Lotto-logix front loaded wheels.
• dr san

  

  bgonçalves
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  hello stack and  millions thank
• Stack47

  

  Kentucky
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  Jan 5, 2025, 9:17 pm

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  In response to MillionsWanted

  Quote: Originally posted by MillionsWanted on Jan 5, 2025

  They exist. Look at Lotto-logix front loaded wheels.

  Maybe San will open your link because it will probably answer most of the questions he asked in the last 10 years.

  "Some people have something to say while other people feel the need to say something"
• MillionsWanted

  

  Norway
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  In response to Stack47

  Quote: Originally posted by Stack47 on Jan 5, 2025

  Maybe San will open your link because it will probably answer most of the questions he asked in the last 10 years.

  Yes, there has been a "few" questions through the years.
• Stat$talker

  

  700 light yrs West of Milky Way Galaxy's Center
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  Jan 6, 2025, 4:52 pm

  ▲▼
  In response to Stack47

  Quote: Originally posted by Stack47 on Jan 5, 2025

  Thought maybe you're looking for a "key number wheel" but with that type of wheel the key number or numbers appear on all the combinations. An unbalanced wheel has one or two numbers on more lines than other numbers, but usually not on the 1/3 you're looking for. 

  For a pick 6 lotto type game, use a 30 line pick 5 wheel and then create a pick 6 wheel by adding your two or three numbers. You may have to make your own wheel using a wheel maker.

  "Thought maybe you're looking for a "key number wheel" but with that type of wheel the key number or numbers appear on all the combinations."

  Ole Stat$ haz been uzin key numba wheelz 4eevaah..

  But, the skill iz being able to ReCoGnIzE a "Key Numba"  in a Matrix... ONLY da Math  tellz ya that..!!

  Comeoon naah, put dat thinkin cap oon, to reduce dem oddz Stack47 Xz against you..                                       

   

  -Stat$talker 
• dr san

  

  bgonçalves
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  Jan 6, 2025, 5:31 pm

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  hello, a question for key or fixed numbers in a lottery lottery = well we can use the repetition of the last draw, use the 1st digit or number, last digits that were not drawn in the last draw, we could use wheels of the last digits of each number, etc., the guarantee of the wheel would be the correctness of SUCH FACTS ABOVE
• L J1

  

  Michigan
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  August 8, 2007
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  Jan 6, 2025, 8:09 pm

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  Doc San....

  You seem to be contradicting your question from your first post on the title subject, to your last post in this thread.

  To answer the question to the title of this subject; Yes... it is possible.

  Balance is Key
• Player649

  

  Canada
  Member #218,115
  October 17, 2021
  171 Posts
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  Jan 10, 2025, 2:24 pm

  ▲▼
  In response to Stat$talker

  Quote: Originally posted by Stat$talker on Jan 6, 2025

  "Thought maybe you're looking for a "key number wheel" but with that type of wheel the key number or numbers appear on all the combinations."

  Ole Stat$ haz been uzin key numba wheelz 4eevaah..

  But, the skill iz being able to ReCoGnIzE a "Key Numba"  in a Matrix... ONLY da Math  tellz ya that..!!

  Comeoon naah, put dat thinkin cap oon, to reduce dem oddz Stack47 Xz against you..                                       

   

  -Stat$talker 

  Something for you to ponder Stat$.

  Lottery: 649
  Numbers in lottery: 49
  Size of ticket: 6

  3 wheels:
  - 15 numbers each
  - 45 lines (tickets) each

  1st wheel fully balanced
  2nd wheel 1 key number (#1)
  3rd wheel 2 key numbers (#1 & #15)

  Statistics for their winning potential:

  --------------------------------------------------------------
  1st wheel (balanced)

  File: BalancedWheel.txt
   
  Wheel:
  1,2,3,5,6,8
  1,2,3,5,9,13
  1,2,3,8,12,15
  1,2,3,9,12,15
  1,2,4,5,8,11
  1,2,5,6,10,14
  1,2,5,6,11,15
  1,2,11,12,14,15
  1,3,4,6,7,15
  1,3,4,7,10,12
  1,3,7,10,11,15
  1,4,7,10,11,14
  1,4,8,9,11,13
  1,4,8,9,11,15
  1,4,12,13,14,15
  1,5,7,9,12,13
  1,6,9,12,13,14
  1,7,8,10,13,14
  2,3,4,6,9,12
  2,3,9,10,11,14
  2,4,5,6,7,14
  2,4,5,10,12,15
  2,4,6,8,11,13
  2,4,7,8,9,10
  2,4,7,8,12,14
  2,5,6,7,11,13
  2,5,8,9,13,15
  2,10,12,13,14,15
  3,4,5,6,8,11
  3,4,5,7,10,13
  3,4,6,9,10,14
  3,4,8,10,11,12
  3,5,7,13,14,15
  3,5,11,12,13,14
  3,6,10,11,13,15
  3,7,8,9,12,15
  3,8,10,12,13,14
  4,5,6,7,9,13
  5,6,8,12,14,15
  5,7,8,9,10,13
  5,9,10,11,14,15
  6,7,8,9,11,14
  6,7,9,10,11,12
  6,7,9,11,14,15
  6,8,10,12,13,15
   
  Wheel parameters:
  Lowest number: 1
  Highest number: 15
  Lines in wheel: 45
   
  Frequency of numbers:
  Number: 1 - 18 times
  Number: 2 - 18 times
  Number: 3 - 18 times
  Number: 4 - 18 times
  Number: 5 - 18 times
  Number: 6 - 18 times
  Number: 7 - 18 times
  Number: 8 - 18 times
  Number: 9 - 18 times
  Number: 10 - 18 times
  Number: 11 - 18 times
  Number: 12 - 18 times
  Number: 13 - 18 times
  Number: 14 - 18 times
  Number: 15 - 18 times
  Avg frequency: 18.0
   
  Wheel is balanced
   
  Numbers in wheel: 15
  Avg hit rate: 1.84
  Most probable hit range: 0.84 -> 2.84
   
  Wheel win potential:
   
  Hit 6 numbers:
  Combinations: 5005
  Win: 6  -  45 (0.9%)
  Win: 5  -  2430 (48.6%)
  Win: 4  -  24300 (485.5%)
  Win: 3  -  75600 (1510.5%)
  Win: 2  -  85050
  Win: 1  -  34020
  Win: 0  -  3780
  Total wins (3+): 102375
  Ticket conversion ratio: 45.5%
   
  Hit 5 numbers:
  Combinations: 3003
  Win: 5  -  270 (9.0%)
  Win: 4  -  6075 (202.3%)
  Win: 3  -  32400 (1078.9%)
  Win: 2  -  56700
  Win: 1  -  34020
  Win: 0  -  5670
  Total wins (3+): 38745
  Ticket conversion ratio: 28.7%
   
  Hit 4 numbers:
  Combinations: 1365
  Win: 4  -  675 (49.5%)
  Win: 3  -  8100 (593.4%)
  Win: 2  -  24300
  Win: 1  -  22680
  Win: 0  -  5670
  Total wins (3+): 8775
  Ticket conversion ratio: 14.3%
   
  Hit 3 numbers:
  Combinations: 455
  Win: 3  -  900 (197.8%)
  Win: 2  -  6075
  Win: 1  -  9720
  Win: 0  -  3780
  Total wins (3): 900
  Ticket conversion ratio: 4.4%
   
  Avg ticket conversion ratio: 34.1%

  --------------------------------------------------------------
  2nd wheel (1 key number)

  File: 1KeyNumberWheel.txt
   
  Wheel:
  1,2,3,5,6,8
  1,2,3,5,9,13
  1,2,3,8,12,15
  1,2,3,9,12,15
  1,2,4,5,8,11
  1,2,5,6,10,14
  1,2,5,6,11,15
  1,2,11,12,14,15
  1,3,4,6,7,15
  1,3,4,7,10,12
  1,3,7,10,11,15
  1,4,7,10,11,14
  1,4,8,9,11,13
  1,4,8,9,11,15
  1,4,12,13,14,15
  1,5,7,9,12,13
  1,6,9,12,13,14
  1,7,8,10,13,14
  1,3,4,6,9,12
  1,3,9,10,11,14
  1,4,5,6,7,14
  1,4,5,10,12,15
  1,4,6,8,11,13
  1,4,7,8,9,10
  1,4,7,8,12,14
  1,5,6,7,11,13
  1,5,8,9,13,15
  1,10,12,13,14,15
  1,4,5,6,8,11
  1,4,5,7,10,13
  1,4,6,9,10,14
  1,4,8,10,11,12
  1,5,7,13,14,15
  1,5,11,12,13,14
  1,6,10,11,13,15
  1,7,8,9,12,15
  1,8,10,12,13,14
  1,5,6,7,9,13
  1,6,8,12,14,15
  1,7,8,9,10,13
  1,9,10,11,14,15
  1,7,8,9,11,14
  1,7,9,10,11,12
  1,7,9,11,14,15
  1,8,10,12,13,15
   
  Wheel parameters:
  Lowest number: 1
  Highest number: 15
  Lines in wheel: 45
   
  Frequency of numbers:
  Number: 1 - 45 times
  Number: 2 - 8 times
  Number: 3 - 9 times
  Number: 4 - 17 times
  Number: 5 - 15 times
  Number: 6 - 14 times
  Number: 7 - 18 times
  Number: 8 - 18 times
  Number: 9 - 18 times
  Number: 10 - 18 times
  Number: 11 - 18 times
  Number: 12 - 18 times
  Number: 13 - 18 times
  Number: 14 - 18 times
  Number: 15 - 18 times
  Avg frequency: 18.0
   
  Wheel is imbalanced
   
  Numbers in wheel: 15
  Avg hit rate: 1.84
  Most probable hit range: 0.84 -> 2.84
   
  Wheel win potential:
   
  Hit 6 numbers:
  Combinations: 5005
  Win: 6  -  45 (0.9%)
  Win: 5  -  2430 (48.6%)
  Win: 4  -  24300 (485.5%)
  Win: 3  -  75600 (1510.5%)
  Win: 2  -  85050
  Win: 1  -  34020
  Win: 0  -  3780
  Total wins (3+): 102375
  Ticket conversion ratio: 45.5%
   
  Hit 5 numbers:
  Combinations: 3003
  Win: 5  -  270 (9.0%)
  Win: 4  -  6075 (202.3%)
  Win: 3  -  32400 (1078.9%)
  Win: 2  -  56700
  Win: 1  -  34020
  Win: 0  -  5670
  Total wins (3+): 38745
  Ticket conversion ratio: 28.7%
   
  Hit 4 numbers:
  Combinations: 1365
  Win: 4  -  675 (49.5%)
  Win: 3  -  8100 (593.4%)
  Win: 2  -  24300
  Win: 1  -  22680
  Win: 0  -  5670
  Total wins (3+): 8775
  Ticket conversion ratio: 14.3%
   
  Hit 3 numbers:
  Combinations: 455
  Win: 3  -  900 (197.8%)
  Win: 2  -  6075
  Win: 1  -  9720
  Win: 0  -  3780
  Total wins (3): 900
  Ticket conversion ratio: 4.4%
   
  Avg ticket conversion ratio: 34.1%

  --------------------------------------------------------------
  3rd wheel (2 key numbers)

  File: 2KeyNumbersWheel.txt
   
  Wheel:
  1,2,3,5,6,15
  1,2,3,5,9,15
  1,2,3,8,12,15
  1,2,3,9,12,15
  1,2,4,5,8,15
  1,2,5,6,10,15
  1,2,5,6,11,15
  1,2,11,12,14,15
  1,3,4,6,7,15
  1,3,4,7,10,15
  1,3,7,10,11,15
  1,4,7,10,11,15
  1,4,8,9,11,15
  1,4,8,9,11,15
  1,4,12,13,14,15
  1,5,7,9,12,15
  1,6,9,12,13,15
  1,7,8,10,13,15
  1,3,4,6,9,15
  1,3,9,10,11,15
  1,4,5,6,7,15
  1,4,5,10,12,15
  1,4,6,8,11,15
  1,4,7,8,9,15
  1,4,7,8,12,15
  1,5,6,7,11,15
  1,5,8,9,13,15
  1,10,12,13,14,15
  1,4,5,6,8,15
  1,4,5,7,10,15
  1,4,6,9,10,15
  1,4,8,10,11,15
  1,5,7,13,14,15
  1,5,11,12,13,15
  1,6,10,11,13,15
  1,7,8,9,12,15
  1,8,10,12,13,15
  1,5,6,7,9,15
  1,6,8,12,14,15
  1,7,8,9,10,15
  1,9,10,11,14,15
  1,7,8,9,11,15
  1,7,9,10,11,15
  1,7,9,11,14,15
  1,8,10,12,13,15
   
  Wheel parameters:
  Lowest number: 1
  Highest number: 15
  Lines in wheel: 45
   
  Frequency of numbers:
  Number: 1 - 45 times
  Number: 2 - 8 times
  Number: 3 - 9 times
  Number: 4 - 17 times
  Number: 5 - 15 times
  Number: 6 - 14 times
  Number: 7 - 18 times
  Number: 8 - 17 times
  Number: 9 - 18 times
  Number: 10 - 17 times
  Number: 11 - 16 times
  Number: 12 - 14 times
  Number: 13 - 10 times
  Number: 14 - 7 times
  Number: 15 - 45 times
  Avg frequency: 18.0
   
  Wheel is imbalanced
   
  Numbers in wheel: 15
  Avg hit rate: 1.84
  Most probable hit range: 0.84 -> 2.84
   
  Wheel win potential:
   
  Hit 6 numbers:
  Combinations: 5005
  Win: 6  -  45 (0.9%)
  Win: 5  -  2430 (48.6%)
  Win: 4  -  24300 (485.5%)
  Win: 3  -  75600 (1510.5%)
  Win: 2  -  85050
  Win: 1  -  34020
  Win: 0  -  3780
  Total wins (3+): 102375
  Ticket conversion ratio: 45.5%
   
  Hit 5 numbers:
  Combinations: 3003
  Win: 5  -  270 (9.0%)
  Win: 4  -  6075 (202.3%)
  Win: 3  -  32400 (1078.9%)
  Win: 2  -  56700
  Win: 1  -  34020
  Win: 0  -  5670
  Total wins (3+): 38745
  Ticket conversion ratio: 28.7%
   
  Hit 4 numbers:
  Combinations: 1365
  Win: 4  -  675 (49.5%)
  Win: 3  -  8100 (593.4%)
  Win: 2  -  24300
  Win: 1  -  22680
  Win: 0  -  5670
  Total wins (3+): 8775
  Ticket conversion ratio: 14.3%
   
  Hit 3 numbers:
  Combinations: 455
  Win: 3  -  900 (197.8%)
  Win: 2  -  6075
  Win: 1  -  9720
  Win: 0  -  3780
  Total wins (3): 900
  Ticket conversion ratio: 4.4%
   
  Avg ticket conversion ratio: 34.1%

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

  As you can see the winning (don't confuse with LO whining) potential for all these 3 wheels is exactly the same. There is no statistical advantage for key number wheels. All can win (and loose) with the same probability.

  So what makes you think that key wheels give you the permanent edge?
  - fantasy?
  - statistics?

  If the latter, can you provide Stat$ (pardon me, it should be stats) that demonstrate clearly the existence of the permanent advantage for key number wheels (and thus prove my numbers wrong)? As an unsurpassed master of Stat$ (sorry, wrong again, can't help it) stats show us your statistical prowess once and for all.

  My personal guess: one of many Stat$ fantasies. Nothing wrong with having fantasies. The fun begins when someone starts taking fantasies for reality. Plenty of examples in LP and Stat$ is one of the best providers.
• BobP

  

  Dump Water Florida
  United States
  Member #380
  June 5, 2002
  3,678 Posts
  Offline
  Jan 11, 2025, 3:17 am

  ▲▼

  Close as I can think of for what you're want'n, if you can still run Dos software and it isn't free . . .
  
  https://www.lotterywheels.com/probaloto_Info.htm

  BobP
  
  If you didn't fall for it, you weren't scammed.
• Player649

  

  Canada
  Member #218,115
  October 17, 2021
  171 Posts
  Offline
  Jan 11, 2025, 5:04 pm

  ▲▼
  In response to BobP

  Quote: Originally posted by BobP on Jan 11, 2025

  Close as I can think of for what you're want'n, if you can still run Dos software and it isn't free . . .
  
  https://www.lotterywheels.com/probaloto_Info.htm

  BobP
  
  If you didn't fall for it, you weren't scammed.

  You don't need to use "oldie" like this. Here is something more modern.

  Lottery: 649
  Numbers in lottery: 49
  Ticket size: 6
   
  Hit combinations for 7 numbers
  Hit 3 - 35
  Hit 4 - 35
  Hit 5 - 21
  Hit 6 - 7
  Total hits - 98
   
  Hit combinations for 8 numbers
  Hit 3 - 56
  Hit 4 - 70
  Hit 5 - 56
  Hit 6 - 28
  Total hits - 210
   
  Hit combinations for 9 numbers
  Hit 3 - 84
  Hit 4 - 126
  Hit 5 - 126
  Hit 6 - 84
  Total hits - 420
   
  Hit combinations for 10 numbers
  Hit 3 - 120
  Hit 4 - 210
  Hit 5 - 252
  Hit 6 - 210
  Total hits - 792
   
  Hit combinations for 11 numbers
  Hit 3 - 165
  Hit 4 - 330
  Hit 5 - 462
  Hit 6 - 462
  Total hits - 1419
   
  Hit combinations for 12 numbers
  Hit 3 - 220
  Hit 4 - 495
  Hit 5 - 792
  Hit 6 - 924
  Total hits - 2431
   
  Hit combinations for 13 numbers
  Hit 3 - 286
  Hit 4 - 715
  Hit 5 - 1287
  Hit 6 - 1716
  Total hits - 4004
   
  Hit combinations for 14 numbers
  Hit 3 - 364
  Hit 4 - 1001
  Hit 5 - 2002
  Hit 6 - 3003
  Total hits - 6370
   
  Hit combinations for 15 numbers
  Hit 3 - 455
  Hit 4 - 1365
  Hit 5 - 3003
  Hit 6 - 5005
  Total hits - 9828
   
  Hit combinations for 16 numbers
  Hit 3 - 560
  Hit 4 - 1820
  Hit 5 - 4368
  Hit 6 - 8008
  Total hits - 14756
   
  Hit combinations for 17 numbers
  Hit 3 - 680
  Hit 4 - 2380
  Hit 5 - 6188
  Hit 6 - 12376
  Total hits - 21624
   
  Hit combinations for 18 numbers
  Hit 3 - 816
  Hit 4 - 3060
  Hit 5 - 8568
  Hit 6 - 18564
  Total hits - 31008
   
  Hit combinations for 19 numbers
  Hit 3 - 969
  Hit 4 - 3876
  Hit 5 - 11628
  Hit 6 - 27132
  Total hits - 43605
   
  Hit combinations for 20 numbers
  Hit 3 - 1140
  Hit 4 - 4845
  Hit 5 - 15504
  Hit 6 - 38760
  Total hits - 60249
   
  Hit combinations for 21 numbers
  Hit 3 - 1330
  Hit 4 - 5985
  Hit 5 - 20349
  Hit 6 - 54264
  Total hits - 81928
   
  Hit combinations for 22 numbers
  Hit 3 - 1540
  Hit 4 - 7315
  Hit 5 - 26334
  Hit 6 - 74613
  Total hits - 109802
   
  Hit combinations for 23 numbers
  Hit 3 - 1771
  Hit 4 - 8855
  Hit 5 - 33649
  Hit 6 - 100947
  Total hits - 145222
   
  Hit combinations for 24 numbers
  Hit 3 - 2024
  Hit 4 - 10626
  Hit 5 - 42504
  Hit 6 - 134596
  Total hits - 189750
   
  Hit combinations for 25 numbers
  Hit 3 - 2300
  Hit 4 - 12650
  Hit 5 - 53130
  Hit 6 - 177100
  Total hits - 245180
   
  Hit combinations for 26 numbers
  Hit 3 - 2600
  Hit 4 - 14950
  Hit 5 - 65780
  Hit 6 - 230230
  Total hits - 313560
   
  Hit combinations for 27 numbers
  Hit 3 - 2925
  Hit 4 - 17550
  Hit 5 - 80730
  Hit 6 - 296010
  Total hits - 397215
   
  Hit combinations for 28 numbers
  Hit 3 - 3276
  Hit 4 - 20475
  Hit 5 - 98280
  Hit 6 - 376740
  Total hits - 498771
   
  Hit combinations for 29 numbers
  Hit 3 - 3654
  Hit 4 - 23751
  Hit 5 - 118755
  Hit 6 - 475020
  Total hits - 621180
   
  Hit combinations for 30 numbers
  Hit 3 - 4060
  Hit 4 - 27405
  Hit 5 - 142506
  Hit 6 - 593775
  Total hits - 767746
   
  Hit combinations for 31 numbers
  Hit 3 - 4495
  Hit 4 - 31465
  Hit 5 - 169911
  Hit 6 - 736281
  Total hits - 942152
  ---------------------------------------------------------------------------------
  Here is the Python code for these results. This was a very simple programming task and I used it for learning Python interpreter functionality and language syntax. This code became part of the wheel evaluation utility. I'm putting it in public domain, no copyright, use it as you please.

  #
  #   Program: Hits
  #   File: Main.py
  #   Version: 1.0
  #   Date: October 2024
  #   Synopsis: compute all possible hits in a group of numbers
  #
  #---------------------------------------------------- program run ------------------------------------------------------
  # user defined variables
  strLottery = '649'                                                                        # lottery name
  intLotteryNumbers = 49                                                            # numbers in lottery
  intTicketSize = 6                                                                          # ticket size
  intMaxN = 31                                                                               # max group size
  intMinN = 7                                                                                  # min group size

  # program defined variables
  intN = 7                                                                                         # group size
  intK = 6                                                                                          # number of hits
  intNK = 0                                                                                        # intN - intK
  intHits6 = 0                                                                                    # number of 6 hits
  intHits5 = 0                                                                                    # number of 5 hits
  intHits4 = 0                                                                                    # number of 4 hits
  intHits3 = 0                                                                                    # number of 3 hits
  intFactN = 0                                                                                   # factorial for intN
  intFactK = 0                                                                                    # factorial for intK
  intFactNK = 0                                                                                 # factorial for intN - intK
  intTotal = 0                                                                                     # totals variable
  intIndex1 = 0                                                                                  # 1st index
  intIndex2 = 0                                                                                   # 2nd index
  intCombinations = 0                                                                      # number of combinations
  intTotalCombinations = 0                                                             # total combinations
  strLine = ' '                                                                                       # line of text
  lstReport = []                                                                                    # results report 

  # initialize report
  strLine = 'Lottery: ' + strLottery
  lstReport.append(strLine)
  strLine = 'Numbers in lottery: ' + str(intLotteryNumbers)
  lstReport.append(strLine)
  strLine = 'Ticket size: ' + str(intTicketSize)
  lstReport.append(strLine)

  # loop for numbers
  for intN in range (intMinN,intMaxN+1):
      strLine = ' '
      lstReport.append(strLine)
      strLine = 'Hit combinations for ' + str(intN) + ' numbers'
      lstReport.append(strLine)

      # loop for hits
      for intK in range (3,7):
         
          # compute factorial for intN
          intTotal = 1
          for intIndex1 in range(1,intN+1):
              intTotal *= intIndex1
          intFactN = intTotal

          # compute factorial for intK
          intTotal = 1
          for intIndex1 in range (1,intK+1):
              intTotal *= intIndex1
          intFactK = intTotal

          # compute factorial for intN - intK
          intNK = intN - intK
          intTotal = 1
          for intIndex1 in range (1,intNK+1):
              intTotal *= intIndex1
          intFactNK = intTotal

          # compute combinations
          intCombinations = int(intFactN / (intFactK * intFactNK))
          # hit 3 combinations
          if intK == 3:
              intHits3 = intCombinations
              strLine = 'Hit '+ str(intK) + ' - ' + str(intHits3)
          # hit 4 combinations
          if intK == 4:
              intHits4 = intCombinations
              strLine = 'Hit '+ str(intK) + ' - ' + str(intHits4)
          # hit 5 combinations
          if intK == 5:
              intHits5 = intCombinations
              strLine = 'Hit '+ str(intK) + ' - ' + str(intHits5)
          # hit 6 combinations
          if intK == 6:
              intHits6 = intCombinations
              strLine = 'Hit '+ str(intK) + ' - ' + str(intHits6)
          # add to report
          lstReport.append(strLine)

      # compute total combinations
      intTotalCombinations = intHits3 + intHits4 + intHits5 + intHits6
      strLine = str('Total hits - ' + str(intTotalCombinations))
      lstReport.append(strLine)

  # display report
  intIndex1 = len(lstReport)
  for intIndex2 in range (0,intIndex1):
      print (lstReport[intIndex2])
  # ---------------------------------------------------- End ---------------------------------------------------------------
• Stat$talker

  

  700 light yrs West of Milky Way Galaxy's Center
  United States
  Member #200,634
  September 1, 2019
  5,507 Posts
  Offline
  Jan 11, 2025, 8:32 pm

  ▲▼
  In response to Player649

  Quote: Originally posted by Player649 on Jan 10, 2025

  Something for you to ponder Stat$.

  Lottery: 649
  Numbers in lottery: 49
  Size of ticket: 6

  3 wheels:
  - 15 numbers each
  - 45 lines (tickets) each

  1st wheel fully balanced
  2nd wheel 1 key number (#1)
  3rd wheel 2 key numbers (#1 & #15)

  Statistics for their winning potential:

  --------------------------------------------------------------
  1st wheel (balanced)

  File: BalancedWheel.txt
   
  Wheel:
  1,2,3,5,6,8
  1,2,3,5,9,13
  1,2,3,8,12,15
  1,2,3,9,12,15
  1,2,4,5,8,11
  1,2,5,6,10,14
  1,2,5,6,11,15
  1,2,11,12,14,15
  1,3,4,6,7,15
  1,3,4,7,10,12
  1,3,7,10,11,15
  1,4,7,10,11,14
  1,4,8,9,11,13
  1,4,8,9,11,15
  1,4,12,13,14,15
  1,5,7,9,12,13
  1,6,9,12,13,14
  1,7,8,10,13,14
  2,3,4,6,9,12
  2,3,9,10,11,14
  2,4,5,6,7,14
  2,4,5,10,12,15
  2,4,6,8,11,13
  2,4,7,8,9,10
  2,4,7,8,12,14
  2,5,6,7,11,13
  2,5,8,9,13,15
  2,10,12,13,14,15
  3,4,5,6,8,11
  3,4,5,7,10,13
  3,4,6,9,10,14
  3,4,8,10,11,12
  3,5,7,13,14,15
  3,5,11,12,13,14
  3,6,10,11,13,15
  3,7,8,9,12,15
  3,8,10,12,13,14
  4,5,6,7,9,13
  5,6,8,12,14,15
  5,7,8,9,10,13
  5,9,10,11,14,15
  6,7,8,9,11,14
  6,7,9,10,11,12
  6,7,9,11,14,15
  6,8,10,12,13,15
   
  Wheel parameters:
  Lowest number: 1
  Highest number: 15
  Lines in wheel: 45
   
  Frequency of numbers:
  Number: 1 - 18 times
  Number: 2 - 18 times
  Number: 3 - 18 times
  Number: 4 - 18 times
  Number: 5 - 18 times
  Number: 6 - 18 times
  Number: 7 - 18 times
  Number: 8 - 18 times
  Number: 9 - 18 times
  Number: 10 - 18 times
  Number: 11 - 18 times
  Number: 12 - 18 times
  Number: 13 - 18 times
  Number: 14 - 18 times
  Number: 15 - 18 times
  Avg frequency: 18.0
   
  Wheel is balanced
   
  Numbers in wheel: 15
  Avg hit rate: 1.84
  Most probable hit range: 0.84 -> 2.84
   
  Wheel win potential:
   
  Hit 6 numbers:
  Combinations: 5005
  Win: 6  -  45 (0.9%)
  Win: 5  -  2430 (48.6%)
  Win: 4  -  24300 (485.5%)
  Win: 3  -  75600 (1510.5%)
  Win: 2  -  85050
  Win: 1  -  34020
  Win: 0  -  3780
  Total wins (3+): 102375
  Ticket conversion ratio: 45.5%
   
  Hit 5 numbers:
  Combinations: 3003
  Win: 5  -  270 (9.0%)
  Win: 4  -  6075 (202.3%)
  Win: 3  -  32400 (1078.9%)
  Win: 2  -  56700
  Win: 1  -  34020
  Win: 0  -  5670
  Total wins (3+): 38745
  Ticket conversion ratio: 28.7%
   
  Hit 4 numbers:
  Combinations: 1365
  Win: 4  -  675 (49.5%)
  Win: 3  -  8100 (593.4%)
  Win: 2  -  24300
  Win: 1  -  22680
  Win: 0  -  5670
  Total wins (3+): 8775
  Ticket conversion ratio: 14.3%
   
  Hit 3 numbers:
  Combinations: 455
  Win: 3  -  900 (197.8%)
  Win: 2  -  6075
  Win: 1  -  9720
  Win: 0  -  3780
  Total wins (3): 900
  Ticket conversion ratio: 4.4%
   
  Avg ticket conversion ratio: 34.1%

  --------------------------------------------------------------
  2nd wheel (1 key number)

  File: 1KeyNumberWheel.txt
   
  Wheel:
  1,2,3,5,6,8
  1,2,3,5,9,13
  1,2,3,8,12,15
  1,2,3,9,12,15
  1,2,4,5,8,11
  1,2,5,6,10,14
  1,2,5,6,11,15
  1,2,11,12,14,15
  1,3,4,6,7,15
  1,3,4,7,10,12
  1,3,7,10,11,15
  1,4,7,10,11,14
  1,4,8,9,11,13
  1,4,8,9,11,15
  1,4,12,13,14,15
  1,5,7,9,12,13
  1,6,9,12,13,14
  1,7,8,10,13,14
  1,3,4,6,9,12
  1,3,9,10,11,14
  1,4,5,6,7,14
  1,4,5,10,12,15
  1,4,6,8,11,13
  1,4,7,8,9,10
  1,4,7,8,12,14
  1,5,6,7,11,13
  1,5,8,9,13,15
  1,10,12,13,14,15
  1,4,5,6,8,11
  1,4,5,7,10,13
  1,4,6,9,10,14
  1,4,8,10,11,12
  1,5,7,13,14,15
  1,5,11,12,13,14
  1,6,10,11,13,15
  1,7,8,9,12,15
  1,8,10,12,13,14
  1,5,6,7,9,13
  1,6,8,12,14,15
  1,7,8,9,10,13
  1,9,10,11,14,15
  1,7,8,9,11,14
  1,7,9,10,11,12
  1,7,9,11,14,15
  1,8,10,12,13,15
   
  Wheel parameters:
  Lowest number: 1
  Highest number: 15
  Lines in wheel: 45
   
  Frequency of numbers:
  Number: 1 - 45 times
  Number: 2 - 8 times
  Number: 3 - 9 times
  Number: 4 - 17 times
  Number: 5 - 15 times
  Number: 6 - 14 times
  Number: 7 - 18 times
  Number: 8 - 18 times
  Number: 9 - 18 times
  Number: 10 - 18 times
  Number: 11 - 18 times
  Number: 12 - 18 times
  Number: 13 - 18 times
  Number: 14 - 18 times
  Number: 15 - 18 times
  Avg frequency: 18.0
   
  Wheel is imbalanced
   
  Numbers in wheel: 15
  Avg hit rate: 1.84
  Most probable hit range: 0.84 -> 2.84
   
  Wheel win potential:
   
  Hit 6 numbers:
  Combinations: 5005
  Win: 6  -  45 (0.9%)
  Win: 5  -  2430 (48.6%)
  Win: 4  -  24300 (485.5%)
  Win: 3  -  75600 (1510.5%)
  Win: 2  -  85050
  Win: 1  -  34020
  Win: 0  -  3780
  Total wins (3+): 102375
  Ticket conversion ratio: 45.5%
   
  Hit 5 numbers:
  Combinations: 3003
  Win: 5  -  270 (9.0%)
  Win: 4  -  6075 (202.3%)
  Win: 3  -  32400 (1078.9%)
  Win: 2  -  56700
  Win: 1  -  34020
  Win: 0  -  5670
  Total wins (3+): 38745
  Ticket conversion ratio: 28.7%
   
  Hit 4 numbers:
  Combinations: 1365
  Win: 4  -  675 (49.5%)
  Win: 3  -  8100 (593.4%)
  Win: 2  -  24300
  Win: 1  -  22680
  Win: 0  -  5670
  Total wins (3+): 8775
  Ticket conversion ratio: 14.3%
   
  Hit 3 numbers:
  Combinations: 455
  Win: 3  -  900 (197.8%)
  Win: 2  -  6075
  Win: 1  -  9720
  Win: 0  -  3780
  Total wins (3): 900
  Ticket conversion ratio: 4.4%
   
  Avg ticket conversion ratio: 34.1%

  --------------------------------------------------------------
  3rd wheel (2 key numbers)

  File: 2KeyNumbersWheel.txt
   
  Wheel:
  1,2,3,5,6,15
  1,2,3,5,9,15
  1,2,3,8,12,15
  1,2,3,9,12,15
  1,2,4,5,8,15
  1,2,5,6,10,15
  1,2,5,6,11,15
  1,2,11,12,14,15
  1,3,4,6,7,15
  1,3,4,7,10,15
  1,3,7,10,11,15
  1,4,7,10,11,15
  1,4,8,9,11,15
  1,4,8,9,11,15
  1,4,12,13,14,15
  1,5,7,9,12,15
  1,6,9,12,13,15
  1,7,8,10,13,15
  1,3,4,6,9,15
  1,3,9,10,11,15
  1,4,5,6,7,15
  1,4,5,10,12,15
  1,4,6,8,11,15
  1,4,7,8,9,15
  1,4,7,8,12,15
  1,5,6,7,11,15
  1,5,8,9,13,15
  1,10,12,13,14,15
  1,4,5,6,8,15
  1,4,5,7,10,15
  1,4,6,9,10,15
  1,4,8,10,11,15
  1,5,7,13,14,15
  1,5,11,12,13,15
  1,6,10,11,13,15
  1,7,8,9,12,15
  1,8,10,12,13,15
  1,5,6,7,9,15
  1,6,8,12,14,15
  1,7,8,9,10,15
  1,9,10,11,14,15
  1,7,8,9,11,15
  1,7,9,10,11,15
  1,7,9,11,14,15
  1,8,10,12,13,15
   
  Wheel parameters:
  Lowest number: 1
  Highest number: 15
  Lines in wheel: 45
   
  Frequency of numbers:
  Number: 1 - 45 times
  Number: 2 - 8 times
  Number: 3 - 9 times
  Number: 4 - 17 times
  Number: 5 - 15 times
  Number: 6 - 14 times
  Number: 7 - 18 times
  Number: 8 - 17 times
  Number: 9 - 18 times
  Number: 10 - 17 times
  Number: 11 - 16 times
  Number: 12 - 14 times
  Number: 13 - 10 times
  Number: 14 - 7 times
  Number: 15 - 45 times
  Avg frequency: 18.0
   
  Wheel is imbalanced
   
  Numbers in wheel: 15
  Avg hit rate: 1.84
  Most probable hit range: 0.84 -> 2.84
   
  Wheel win potential:
   
  Hit 6 numbers:
  Combinations: 5005
  Win: 6  -  45 (0.9%)
  Win: 5  -  2430 (48.6%)
  Win: 4  -  24300 (485.5%)
  Win: 3  -  75600 (1510.5%)
  Win: 2  -  85050
  Win: 1  -  34020
  Win: 0  -  3780
  Total wins (3+): 102375
  Ticket conversion ratio: 45.5%
   
  Hit 5 numbers:
  Combinations: 3003
  Win: 5  -  270 (9.0%)
  Win: 4  -  6075 (202.3%)
  Win: 3  -  32400 (1078.9%)
  Win: 2  -  56700
  Win: 1  -  34020
  Win: 0  -  5670
  Total wins (3+): 38745
  Ticket conversion ratio: 28.7%
   
  Hit 4 numbers:
  Combinations: 1365
  Win: 4  -  675 (49.5%)
  Win: 3  -  8100 (593.4%)
  Win: 2  -  24300
  Win: 1  -  22680
  Win: 0  -  5670
  Total wins (3+): 8775
  Ticket conversion ratio: 14.3%
   
  Hit 3 numbers:
  Combinations: 455
  Win: 3  -  900 (197.8%)
  Win: 2  -  6075
  Win: 1  -  9720
  Win: 0  -  3780
  Total wins (3): 900
  Ticket conversion ratio: 4.4%
   
  Avg ticket conversion ratio: 34.1%

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

  As you can see the winning (don't confuse with LO whining) potential for all these 3 wheels is exactly the same. There is no statistical advantage for key number wheels. All can win (and loose) with the same probability.

  So what makes you think that key wheels give you the permanent edge?
  - fantasy?
  - statistics?

  If the latter, can you provide Stat$ (pardon me, it should be stats) that demonstrate clearly the existence of the permanent advantage for key number wheels (and thus prove my numbers wrong)? As an unsurpassed master of Stat$ (sorry, wrong again, can't help it) stats show us your statistical prowess once and for all.

  My personal guess: one of many Stat$ fantasies. Nothing wrong with having fantasies. The fun begins when someone starts taking fantasies for reality. Plenty of examples in LP and Stat$ is one of the best providers.

  "Something for you to ponder Stat$."

  How'z all THIZ Data related to MY reply?..I pointed out the required SKILLZ it takez to ReCoGnIzE a Key Numba..

  You're comparin "Applez to Orangez", az iz a certain Member heaa'z 5avorite sayinz..

  If Ga had a 6/49 Game heaa, I'd show everybody intrested how to pick a Key Numba from it by My Posted Ticketz,.. cauze it ain't about HOW MANY Numberz a Matrix haz,.. It'z about understanding dat Divine Math  involved Playa649.. Give me 1 good reazon why I should.jump ova Yo Hurddlez?, since I wouldn't be able to actually play derived ticketz..

  You may've made it back ta Shore from dat Deluge Voyage, but cha brain ain't dryed out yet, az evidence of such soggy reazonin..

  Butcha still areight wit Ole Stat$, az you can take a joke..yet realize we're just havin Cyber fun..

  Whuussup wit cho Prezident rezignin?

   

  -Stat$talker 
• BobP

  

  Dump Water Florida
  United States
  Member #380
  June 5, 2002
  3,678 Posts
  Offline
  Jan 12, 2025, 3:33 am

  ▲▼
  In response to Player649

  Quote: Originally posted by Player649 on Jan 11, 2025

  You don't need to use "oldie" like this. Here is something more modern.

  Lottery: 649
  Numbers in lottery: 49
  Ticket size: 6
   
  Hit combinations for 7 numbers
  Hit 3 - 35
  Hit 4 - 35
  Hit 5 - 21
  Hit 6 - 7
  Total hits - 98
   
  Hit combinations for 8 numbers
  Hit 3 - 56
  Hit 4 - 70
  Hit 5 - 56
  Hit 6 - 28
  Total hits - 210
   
  Hit combinations for 9 numbers
  Hit 3 - 84
  Hit 4 - 126
  Hit 5 - 126
  Hit 6 - 84
  Total hits - 420
   
  Hit combinations for 10 numbers
  Hit 3 - 120
  Hit 4 - 210
  Hit 5 - 252
  Hit 6 - 210
  Total hits - 792
   
  Hit combinations for 11 numbers
  Hit 3 - 165
  Hit 4 - 330
  Hit 5 - 462
  Hit 6 - 462
  Total hits - 1419
   
  Hit combinations for 12 numbers
  Hit 3 - 220
  Hit 4 - 495
  Hit 5 - 792
  Hit 6 - 924
  Total hits - 2431
   
  Hit combinations for 13 numbers
  Hit 3 - 286
  Hit 4 - 715
  Hit 5 - 1287
  Hit 6 - 1716
  Total hits - 4004
   
  Hit combinations for 14 numbers
  Hit 3 - 364
  Hit 4 - 1001
  Hit 5 - 2002
  Hit 6 - 3003
  Total hits - 6370
   
  Hit combinations for 15 numbers
  Hit 3 - 455
  Hit 4 - 1365
  Hit 5 - 3003
  Hit 6 - 5005
  Total hits - 9828
   
  Hit combinations for 16 numbers
  Hit 3 - 560
  Hit 4 - 1820
  Hit 5 - 4368
  Hit 6 - 8008
  Total hits - 14756
   
  Hit combinations for 17 numbers
  Hit 3 - 680
  Hit 4 - 2380
  Hit 5 - 6188
  Hit 6 - 12376
  Total hits - 21624
   
  Hit combinations for 18 numbers
  Hit 3 - 816
  Hit 4 - 3060
  Hit 5 - 8568
  Hit 6 - 18564
  Total hits - 31008
   
  Hit combinations for 19 numbers
  Hit 3 - 969
  Hit 4 - 3876
  Hit 5 - 11628
  Hit 6 - 27132
  Total hits - 43605
   
  Hit combinations for 20 numbers
  Hit 3 - 1140
  Hit 4 - 4845
  Hit 5 - 15504
  Hit 6 - 38760
  Total hits - 60249
   
  Hit combinations for 21 numbers
  Hit 3 - 1330
  Hit 4 - 5985
  Hit 5 - 20349
  Hit 6 - 54264
  Total hits - 81928
   
  Hit combinations for 22 numbers
  Hit 3 - 1540
  Hit 4 - 7315
  Hit 5 - 26334
  Hit 6 - 74613
  Total hits - 109802
   
  Hit combinations for 23 numbers
  Hit 3 - 1771
  Hit 4 - 8855
  Hit 5 - 33649
  Hit 6 - 100947
  Total hits - 145222
   
  Hit combinations for 24 numbers
  Hit 3 - 2024
  Hit 4 - 10626
  Hit 5 - 42504
  Hit 6 - 134596
  Total hits - 189750
   
  Hit combinations for 25 numbers
  Hit 3 - 2300
  Hit 4 - 12650
  Hit 5 - 53130
  Hit 6 - 177100
  Total hits - 245180
   
  Hit combinations for 26 numbers
  Hit 3 - 2600
  Hit 4 - 14950
  Hit 5 - 65780
  Hit 6 - 230230
  Total hits - 313560
   
  Hit combinations for 27 numbers
  Hit 3 - 2925
  Hit 4 - 17550
  Hit 5 - 80730
  Hit 6 - 296010
  Total hits - 397215
   
  Hit combinations for 28 numbers
  Hit 3 - 3276
  Hit 4 - 20475
  Hit 5 - 98280
  Hit 6 - 376740
  Total hits - 498771
   
  Hit combinations for 29 numbers
  Hit 3 - 3654
  Hit 4 - 23751
  Hit 5 - 118755
  Hit 6 - 475020
  Total hits - 621180
   
  Hit combinations for 30 numbers
  Hit 3 - 4060
  Hit 4 - 27405
  Hit 5 - 142506
  Hit 6 - 593775
  Total hits - 767746
   
  Hit combinations for 31 numbers
  Hit 3 - 4495
  Hit 4 - 31465
  Hit 5 - 169911
  Hit 6 - 736281
  Total hits - 942152
  ---------------------------------------------------------------------------------
  Here is the Python code for these results. This was a very simple programming task and I used it for learning Python interpreter functionality and language syntax. This code became part of the wheel evaluation utility. I'm putting it in public domain, no copyright, use it as you please.

  #
  #   Program: Hits
  #   File: Main.py
  #   Version: 1.0
  #   Date: October 2024
  #   Synopsis: compute all possible hits in a group of numbers
  #
  #---------------------------------------------------- program run ------------------------------------------------------
  # user defined variables
  strLottery = '649'                                                                        # lottery name
  intLotteryNumbers = 49                                                            # numbers in lottery
  intTicketSize = 6                                                                          # ticket size
  intMaxN = 31                                                                               # max group size
  intMinN = 7                                                                                  # min group size

  # program defined variables
  intN = 7                                                                                         # group size
  intK = 6                                                                                          # number of hits
  intNK = 0                                                                                        # intN - intK
  intHits6 = 0                                                                                    # number of 6 hits
  intHits5 = 0                                                                                    # number of 5 hits
  intHits4 = 0                                                                                    # number of 4 hits
  intHits3 = 0                                                                                    # number of 3 hits
  intFactN = 0                                                                                   # factorial for intN
  intFactK = 0                                                                                    # factorial for intK
  intFactNK = 0                                                                                 # factorial for intN - intK
  intTotal = 0                                                                                     # totals variable
  intIndex1 = 0                                                                                  # 1st index
  intIndex2 = 0                                                                                   # 2nd index
  intCombinations = 0                                                                      # number of combinations
  intTotalCombinations = 0                                                             # total combinations
  strLine = ' '                                                                                       # line of text
  lstReport = []                                                                                    # results report 

  # initialize report
  strLine = 'Lottery: ' + strLottery
  lstReport.append(strLine)
  strLine = 'Numbers in lottery: ' + str(intLotteryNumbers)
  lstReport.append(strLine)
  strLine = 'Ticket size: ' + str(intTicketSize)
  lstReport.append(strLine)

  # loop for numbers
  for intN in range (intMinN,intMaxN+1):
      strLine = ' '
      lstReport.append(strLine)
      strLine = 'Hit combinations for ' + str(intN) + ' numbers'
      lstReport.append(strLine)

      # loop for hits
      for intK in range (3,7):
         
          # compute factorial for intN
          intTotal = 1
          for intIndex1 in range(1,intN+1):
              intTotal *= intIndex1
          intFactN = intTotal

          # compute factorial for intK
          intTotal = 1
          for intIndex1 in range (1,intK+1):
              intTotal *= intIndex1
          intFactK = intTotal

          # compute factorial for intN - intK
          intNK = intN - intK
          intTotal = 1
          for intIndex1 in range (1,intNK+1):
              intTotal *= intIndex1
          intFactNK = intTotal

          # compute combinations
          intCombinations = int(intFactN / (intFactK * intFactNK))
          # hit 3 combinations
          if intK == 3:
              intHits3 = intCombinations
              strLine = 'Hit '+ str(intK) + ' - ' + str(intHits3)
          # hit 4 combinations
          if intK == 4:
              intHits4 = intCombinations
              strLine = 'Hit '+ str(intK) + ' - ' + str(intHits4)
          # hit 5 combinations
          if intK == 5:
              intHits5 = intCombinations
              strLine = 'Hit '+ str(intK) + ' - ' + str(intHits5)
          # hit 6 combinations
          if intK == 6:
              intHits6 = intCombinations
              strLine = 'Hit '+ str(intK) + ' - ' + str(intHits6)
          # add to report
          lstReport.append(strLine)

      # compute total combinations
      intTotalCombinations = intHits3 + intHits4 + intHits5 + intHits6
      strLine = str('Total hits - ' + str(intTotalCombinations))
      lstReport.append(strLine)

  # display report
  intIndex1 = len(lstReport)
  for intIndex2 in range (0,intIndex1):
      print (lstReport[intIndex2])
  # ---------------------------------------------------- End ---------------------------------------------------------------

  Dropped the code in the Python Online Complier and it replicated the report you produced above the code.  However, I don't see any connection with what Probaloto does.  Please consider rereading the description on the link I posted and perhaps looking at the free manual there for running it. 
  
  BobP
  
  Never apologize for winning the lottery, it's against the rules.
• SunTribe

  

  Zagreb
  Croatia
  Member #5,123
  June 18, 2004
  53 Posts
  Offline
  Jan 13, 2025, 5:20 pm

  ▲▼

  Many years ago I tried to purchase Probaloto, however I received a response from the then owner of the site (not Gary Olander) that unfortunately the program is no longer available. 
  Something similar, at least in concept of weighted random forecast had CastleLotto, but I never managed to hit more than 3# in 6/45.

  BR

  "The Greatest Failure Of All, Is The Failure To Try!"