Pairwise differences method for PB, MM, Fantasy 5, etc.Prev TopicNext Topic

• oate

  

  United States
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  October 22, 2018
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  Dec 4, 2018, 12:52 am

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  This method is for entertainment purposes only!
  If you are not entertained, I am sorry.

  I call this the pairwise differences method because you take a 5-number lottery game result, and then compute the 10 pairwise differences to generate a new set of numbers.

  Example 1: On November 28, the five white balls for Powerball were 4, 19, 59, 68, 69. The pairwise differences of these numbers are

  • 69 - 68 = 1
  • 69 - 59 = 10
  • 69 - 19 = 50
  • 69 - 4 = 65
  • 68 - 59 = 9
  • 68 - 19 = 49
  • 68 - 4 = 64
  • 59 - 19 = 40
  • 59 - 4 = 55
  • 19 - 4 = 15

  On December 1, the following drawing, the five white balls were 10, 11, 47, 55, 58.  Two hits.

   

  Example 2: On December 2, the California Fantasy Five numbers were 23, 29, 31, 38, 39. The pairwise differences are

  • 39 - 38 = 1
  • 39 - 31 = 8
  • 39 - 29 = 10
  • 39 - 23 = 16
  • 38 - 31 = 7
  • 38 - 29 = 9
  • 38 - 23 = 15
  • 31 - 29 = 2
  • 31 - 23 = 8
  • 29 - 23 = 6

  On December 3, the following drawing's numbers were 2, 16, 24, 27, 38. Two hits again.

   

  Example 3: On November 28, the NM Roadrunner Cash numbers were 5, 10, 25, 29, 35. The pairwise differences are

  • 35 - 29 = 6
  • 35 - 25 = 10
  • 35 - 10 = 25
  • 35 - 5 = 30
  • 29 - 25 = 4
  • 29 - 10 = 19
  • 29 - 5 = 24
  • 25 - 10 = 15
  • 25 - 5 = 20
  • 10 - 5 = 5

  The next drawing's numbers were 5, 6, 11, 19, 29. Three hits this time.

   

  Best of luck to you all.

  Only my hairdresser knows for sure.
• winsumloosesum

  

  Philadelpia/Pennsylvania
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  September 1, 2003
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  Dec 4, 2018, 5:51 am

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  Florida 536 

  Total Draws = 6350

  5of5 = 2 times

  4of5 = 53

  30f5 = 511

  2of5 = 1796

  1of5 = 2636

  0of5 = 1351

  5of5 = 2 History

  March 7, 2014 1-5-7-12-21

  from

  March 6, 2014

  1-6-13-14-27 (5,12,13,26,7,8,21,1,14,13)

   

  September 3, 2002 1-7-15-21-22

  from 

  September 2, 2002 4-11-12-19-33 (7,8,15,29,1,8,22,7,21,14)
• rcbbuckeye

  

  100

  Texas
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  Member #55,887
  October 23, 2007
  17,832 Posts
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  Dec 4, 2018, 9:16 am

  ▲▼
  In response to oate

  Quote: Originally posted by oate on Dec 4, 2018

  This method is for entertainment purposes only!
  If you are not entertained, I am sorry.

  I call this the pairwise differences method because you take a 5-number lottery game result, and then compute the 10 pairwise differences to generate a new set of numbers.

  Example 1: On November 28, the five white balls for Powerball were 4, 19, 59, 68, 69. The pairwise differences of these numbers are

  • 69 - 68 = 1
  • 69 - 59 = 10
  • 69 - 19 = 50
  • 69 - 4 = 65
  • 68 - 59 = 9
  • 68 - 19 = 49
  • 68 - 4 = 64
  • 59 - 19 = 40
  • 59 - 4 = 55
  • 19 - 4 = 15

  On December 1, the following drawing, the five white balls were 10, 11, 47, 55, 58.  Two hits.

   

  Example 2: On December 2, the California Fantasy Five numbers were 23, 29, 31, 38, 39. The pairwise differences are

  • 39 - 38 = 1
  • 39 - 31 = 8
  • 39 - 29 = 10
  • 39 - 23 = 16
  • 38 - 31 = 7
  • 38 - 29 = 9
  • 38 - 23 = 15
  • 31 - 29 = 2
  • 31 - 23 = 8
  • 29 - 23 = 6

  On December 3, the following drawing's numbers were 2, 16, 24, 27, 38. Two hits again.

   

  Example 3: On November 28, the NM Roadrunner Cash numbers were 5, 10, 25, 29, 35. The pairwise differences are

  • 35 - 29 = 6
  • 35 - 25 = 10
  • 35 - 10 = 25
  • 35 - 5 = 30
  • 29 - 25 = 4
  • 29 - 10 = 19
  • 29 - 5 = 24
  • 25 - 10 = 15
  • 25 - 5 = 20
  • 10 - 5 = 5

  The next drawing's numbers were 5, 6, 11, 19, 29. Three hits this time.

   

  Best of luck to you all.

  Don't know about being entertained, but that really was interesting.

  Another way to determine numbers to play.

  

  CAN'T WIN IF YOU'RE NOT IN

  A DOLLAR AND A DREAM (OR $2)
  
• JADELottery

  

  Native American Eagle Sun

  MN
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  Member #21
  December 7, 2001
  4,812 Posts
  Offline
  Dec 4, 2018, 10:32 am

  ▲▼

  Powerball Totals

  ΔPair	Count
  1	3257540
  2	3209635
  3	3161730
  4	3113825
  5	3065920
  6	3018015
  7	2970110
  8	2922205
  9	2874300
  10	2826395
  11	2778490
  12	2730585
  13	2682680
  14	2634775
  15	2586870
  16	2538965
  17	2491060
  18	2443155
  19	2395250
  20	2347345
  21	2299440
  22	2251535
  23	2203630
  24	2155725
  25	2107820
  26	2059915
  27	2012010
  28	1964105
  29	1916200
  30	1868295
  31	1820390
  32	1772485
  33	1724580
  34	1676675
  35	1628770
  36	1580865
  37	1532960
  38	1485055
  39	1437150
  40	1389245
  41	1341340
  42	1293435
  43	1245530
  44	1197625
  45	1149720
  46	1101815
  47	1053910
  48	1006005
  49	958100
  50	910195
  51	862290
  52	814385
  53	766480
  54	718575
  55	670670
  56	622765
  57	574860
  58	526955
  59	479050
  60	431145
  61	383240
  62	335335
  63	287430
  64	239525
  65	191620
  66	143715
  67	95810
  68	47905

  The One Over None
  I Know...
• Mr-B 216

  

  Ohio
  United States
  Member #179,976
  February 15, 2017
  1,283 Posts
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  Dec 4, 2018, 12:31 pm

  ▲▼
  In response to winsumloosesum

  Quote: Originally posted by winsumloosesum on Dec 4, 2018

  Florida 536 

  Total Draws = 6350

  5of5 = 2 times

  4of5 = 53

  30f5 = 511

  2of5 = 1796

  1of5 = 2636

  0of5 = 1351

  5of5 = 2 History

  March 7, 2014 1-5-7-12-21

  from

  March 6, 2014

  1-6-13-14-27 (5,12,13,26,7,8,21,1,14,13)

   

  September 3, 2002 1-7-15-21-22

  from 

  September 2, 2002 4-11-12-19-33 (7,8,15,29,1,8,22,7,21,14)

  Ohio 539

  Total Draws = 5035

  5of5 = 2 times

  4of5 = 27

  30f5 = 318

  2of5 = 1301

  1of5 = 2120

  0of5 = 1266

  
  5of5 = 2 History

  
  January 31, 2017 6-10-12-18-21

  From

  January 30, 2017 (11, 21, 23, 29, 10, 12, 18, 2, 8, 6)

   

  March 5, 2012 9-11-14-20-24

  from

  March 4, 2012 (11, 20, 34, 35, 9, 23, 24, 14, 15, 1)

  
  Wheel 10 numbers would generate 252 lines.
  Wheel 9 numbers would generate 126 lines.
  Wheel 8 numbers would generate 56 lines.
  Wheel 7 numbers would generate 21 lines.
  Wheel 6 numbers would generate 6 lines.

  What goes around comes around.
• AllenB

  

  California
  United States
  Member #167,122
  June 27, 2015
  1,637 Posts
  Offline
  Dec 4, 2018, 5:12 pm

  ▲▼
  In response to Mr-B 216

  Quote: Originally posted by Mr-B 216 on Dec 4, 2018

  Ohio 539

  Total Draws = 5035

  5of5 = 2 times

  4of5 = 27

  30f5 = 318

  2of5 = 1301

  1of5 = 2120

  0of5 = 1266

  
  5of5 = 2 History

  
  January 31, 2017 6-10-12-18-21

  From

  January 30, 2017 (11, 21, 23, 29, 10, 12, 18, 2, 8, 6)

   

  March 5, 2012 9-11-14-20-24

  from

  March 4, 2012 (11, 20, 34, 35, 9, 23, 24, 14, 15, 1)

  
  Wheel 10 numbers would generate 252 lines.
  Wheel 9 numbers would generate 126 lines.
  Wheel 8 numbers would generate 56 lines.
  Wheel 7 numbers would generate 21 lines.
  Wheel 6 numbers would generate 6 lines.

  Good to See You here MR-B

  I have done a quick look at California Fantasy 5 and hope that I have not made a mistake somewhere. 

  I am Getting a 75% hit Rate for at least 1 Number in a Draw Matching a Gap from the Previous Draw.  In Fact, the Hit Rate for Delaying from 1-7 games is +/- 2% (of 75%) for each Delay.  I am also getting a 56% Hit Rate for at least 1 number repeating from the previous Draw. In fact, the Hit % for “Repeats” Delayed from 1-7 Draws is +/-1% (of 56%).

  That Still leaves a lot of combinations to Weed.

  Correct me please if I am Wrong

  I am Tracking 10 Gaps.

  1/39 = 2.6% multiplied by 10 = 25.6% (the Expected Hit % vs a 75% actual Hit Rate).

  I got to be doing something wrong.
• AllenB

  

  California
  United States
  Member #167,122
  June 27, 2015
  1,637 Posts
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  Dec 4, 2018, 5:18 pm

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  There is a 5 left out of those Calculations I think since there ar 5 Balls that could be in the 10.  I think that would be 50%

  So Actual is better than expected by 25%?
• lottologix

  

  United States
  Member #139,773
  March 3, 2013
  605 Posts
  Offline
  Dec 4, 2018, 11:23 pm

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  In response to winsumloosesum

  Quote: Originally posted by winsumloosesum on Dec 4, 2018

  Florida 536 

  Total Draws = 6350

  5of5 = 2 times

  4of5 = 53

  30f5 = 511

  2of5 = 1796

  1of5 = 2636

  0of5 = 1351

  5of5 = 2 History

  March 7, 2014 1-5-7-12-21

  from

  March 6, 2014

  1-6-13-14-27 (5,12,13,26,7,8,21,1,14,13)

   

  September 3, 2002 1-7-15-21-22

  from 

  September 2, 2002 4-11-12-19-33 (7,8,15,29,1,8,22,7,21,14)

  Ok so here is an alternate idea... Create delta numbers for all possible combinations. Then use only the numbers that list under the delta number with the highest frequency of occurrence. would definitely create more combinations than you could afford.to play, but would turn up winners in fewer combinations than the total combinations of the game. Just a thought tho, maybe it could spark a  better idea with someone else reading this post ?
• Lottomeister

  

  Germany
  Member #174,817
  May 14, 2016
  654 Posts
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  Dec 5, 2018, 8:28 am

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  use a delta of 12 using the last 2-3 draws. Example draws Take 5 NY

  2-4-9-21-29 , 6-10-11-12-29

  gives you 2-14-26

  4-16-28

  9-21-33

  5-17-29

  6-18-30

  10-22-34

  11-23-35

  12-24-36

  this give you 21 numbers to play for next draw.you could go another draw for more numbers. I find that if you have a delta pair of 12, in a winning line one or 2 of those 3 numbers will appear next 1-2 draws so I use them as keys.

  It's always possible that I'm wrong~

  But that's never at the top of my list of possibilities.
• winsumloosesum

  

  Philadelpia/Pennsylvania
  United States
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  Dec 5, 2018, 8:41 am

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  Florida 5/36 - Fantasy 5

  Total Games = 6351

  Last Draw = Tuesday, December 4, 2018

  Chart Below - Delta Values & Total Hits for each Delta value

  Delta Values last drawing = 7,19,22,24,12,15,17,3,5,2

  Notice the hit values highlighted in yellow represent the last drawing Delta values 

  3

  The chart below ranks the Delta Values from Highest Hit to Lowest based on total HITS

  Cells highlighted in Yellow represent the most current drawing Delta Values

  Notice 6 of the 10 Delta value appear in the TOP 10

  
• Lottomeister

  

  Germany
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  May 14, 2016
  654 Posts
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  Dec 5, 2018, 12:24 pm

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  In response to winsumloosesum

  Quote: Originally posted by winsumloosesum on Dec 5, 2018

  Florida 5/36 - Fantasy 5

  Total Games = 6351

  Last Draw = Tuesday, December 4, 2018

  Chart Below - Delta Values & Total Hits for each Delta value

  Delta Values last drawing = 7,19,22,24,12,15,17,3,5,2

  Notice the hit values highlighted in yellow represent the last drawing Delta values 

  3

  The chart below ranks the Delta Values from Highest Hit to Lowest based on total HITS

  Cells highlighted in Yellow represent the most current drawing Delta Values

  Notice 6 of the 10 Delta value appear in the TOP 10

  

  Steve,

  could you post the delta values like above for the NY 5/39 please? Thanks!

  It's always possible that I'm wrong~

  But that's never at the top of my list of possibilities.
• oate

  

  United States
  Member #193,169
  October 22, 2018
  489 Posts
  Offline
  Dec 6, 2018, 4:15 am

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  In response to AllenB

  Quote: Originally posted by AllenB on Dec 4, 2018

  Good to See You here MR-B

  I have done a quick look at California Fantasy 5 and hope that I have not made a mistake somewhere. 

  I am Getting a 75% hit Rate for at least 1 Number in a Draw Matching a Gap from the Previous Draw.  In Fact, the Hit Rate for Delaying from 1-7 games is +/- 2% (of 75%) for each Delay.  I am also getting a 56% Hit Rate for at least 1 number repeating from the previous Draw. In fact, the Hit % for “Repeats” Delayed from 1-7 Draws is +/-1% (of 56%).

  That Still leaves a lot of combinations to Weed.

  Correct me please if I am Wrong

  I am Tracking 10 Gaps.

  1/39 = 2.6% multiplied by 10 = 25.6% (the Expected Hit % vs a 75% actual Hit Rate).

  I got to be doing something wrong.

  I wrote a program to calculate the exact theoretical probabilities of the various matches in a 5/39 game with the pairwise differences method, assuming draws are random.

  0 of 5: 24.63471990528498%
  1 of 5: 42.31593199033136%
  2 of 5: 25.562560035573732%
  3 of 5: 6.706197555352394%
  4 of 5: 0.7523024468769947%
  5 of 5: 0.028288066580537004%

  So yes, it is about a 75% chance of getting at least 1 hit.

   

  Also here are the theoretical probabilities of the matches in a 5/36 game:

  0 of 5: 21.68045522812647%
  1 of 5: 41.42942173954963%
  2 of 5: 27.777954813202403%
  3 of 5: 8.070300610971625%
  4 of 5: 1.0003902278200032%
  5 of 5: 0.04147738032986651%

  You can compare these expected probabilities to the observed probabilities to judge the merit of the method.

  I can compute these probabilities for other 5/N games and even 6/N games on request if there is any interest, but with 6 balls the program takes a long time to run. Best of luck to all.

  Only my hairdresser knows for sure.