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The Pick 3 Benford Matrix

Topic closed. 22 replies. Last post 10 years ago by WSN1.

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Thoth's avatar - binary
Findlay, Ohio
United States
Member #4855
May 28, 2004
400 Posts
Offline
Posted: January 6, 2007, 10:03 pm - IP Logged

In my recent post http://www.lotterypost.com/thread/148025 , I illustrated how Benford's Law can be shown to apply to the skips found within any Pick 3 game.  The graphs shown within that post reference each of the listed states game from a historical perspective...meaning that the entire draw history of each state was used to gather the skip data.

However, the entire draw history does not necessarily have to be used in order to observe the "Law."  You can take any states game, that has a good history behind it, and by examining the last 1,000 draws aquire very similar results.  Simply put, by looking at how far out (in consecutive games) that each of the last 1,000 numbers drawn was at the time of its last hit, you can see Benford's Law in action.

For example, if you look at the last 1,000 games in Ohio and for each straight that was drawn determine the skip interval of that specific hit to its previous hit, you can observe how the game closely follows the Law .

Graphing out the skips for each of the straights that fell in Ohio for the last 1,000 games produces the following graph:

Of course this same pattern should emerge for any Pick 3 game in any given state.  Here is Georgia as a second example:

The reason that the skips will so closely follow this pattern is that because at any givin point in time, there will be very close to 1/3 of the 1,000 possible Pick 3 straights capable of ending their skip at a value that is in accordance to Benford's Law!

 

THE BENFORD MATRIX

I dubbed this special group of 1/3 the "Benford Matrix" since it encompasses all of the straighs whos skips are out at a value that starts with the leading digit of one.  The skip ranges for these straights include the following:

1 (last straight drawn)
10 through 19 games ago
100 through 199 games ago
1,000 through 1,999 games ago

I call any and all straights that have not been drawn for an amount of consecutive games that fall within any of these specified ranges the "Benford Numbers."  The numbers that make up this group or matrix are unlike any other.  In grouping numbers to be tracked, the most common approach is to group the numbers based on the digits they contain as well as their high/low and even/odd value, their sum or root sum value and also sometimes their frequencies.

The Benford Matrix is quite a bit different.  These numbers are added to the group based on how long its been since they each hit.  The group is not static either: it slightly changes each draw, but over the course of time, the numbers it contains changes dramatically.  I have heard it said (don't remember exactly where) that constantly changing the numbers that you play leads to more wins than playing the same numbers repeatedly.  Judging by the performance of the Benford Matrix this might possibly be true.

The Benford Matrix contains an excellent mixture of numbers.  As I stated before, there are about 333 numbers in this group at any given time.  Around 230 of this amount are the straights that are out between 1000 and 1999 games.  These are the "due" to "over-due" collection of numbers within the group.  Normally, there are also around 85 numbers in this 1/3 that just hit between 100 to 199 games ago.  These 85 numbers, in conjuction with the 9 or 10 that just hit between 10 to 19 games ago...as well as the last combo to be drawn one game ago, comprise the numbers that are set to have short skips or repeats.  So, the Benford Matrix is made from a mixture of both recently drawn and long-out numbers.

Think of randomness as the controlling mechanism, or engine, of the game.  The exhaust created by the engine directly fuels this group of numbers...its like a turbo charged lottery lol.  The same randomness that creates the daily results is the very same randomness that is creating the Benford group of numbers!

I did some testing in Ohio to see how the group would hit over the course of time.  Instead of testing it for an exact 100 or even 1,000 consecutive games, I did something a little different.  I tested it over several median spans.  A median span is a 693 consecutive game span of time, which is the amount of time (games) it takes to have a 50% chance for any straight to be drawn, this also means that 500 unique straights are drawn in this time.  Now, since the group is usually around 333 numbers in size, I expected it to win about about 1/3 of all games...and it did.  For 693 games, 1/3 equates to about 231 hits.  The actual probability for hits from the benford group sum up to be a little over 32% rather than 33.3% or 1/3, so the more precise figure of .32*693=225.77 should be used.

Starting with the last number drawn, I looked back 693 games to see how many hits were from the Benford group.  I recorded this number and also how many of them were unique (I wanted to see how many DIFFERENT numbers were hitting from the group, not just how often the group actually hit).  Once i did this test (starting with the most recent game) I repeated the same test starting with the second to last game, again examining 693 games backwards.  After recording the results, I performed the test a third time...starting with the third most recent game and then a fourth time with the fourth most recent game as so on.  In the end, I had tested 7,971 seperate (but connected by overlap) spans of 693 games.

The Benford group hit an average (and a very tight one at that) of 227.49 times within every 693 consecutive game span.  That equates to 32.82%, which is right on the money for the probabilities involved.  Now for the interesting part.  The amount of unique combos that hit from the group in each span was a very tight average of 205.44.  This shows the the amount of different numbers hitting from the group is extremely high as a percentage (62%).  If you take any static (unchanging) group of numbers and watch their performance over a 693 game span, only about 50% of them should hit.  The unique hits from the Benford Matrix hit at a much higher rate because the numbers played are constantly changing.

To me, perhaps the most interesting aspect of all this is the ratio of unique hits to the size of the matrix they come from.

205.44 * 1.618 (Phi) = 332.401

It could be something, or it could be nothing. More to follow...

~Probability=Odds in Motion~

    Thoth's avatar - binary
    Findlay, Ohio
    United States
    Member #4855
    May 28, 2004
    400 Posts
    Offline
    Posted: January 14, 2007, 3:10 pm - IP Logged

    Using the Benford Matrix

    As I stated above, there are usually about 333 straight numbers in the Benford Matrix at any given time.  These numbers are the ones that are actually capable of hitting (ending their skips) at value that starts with the digit one.  At this moment, there are 341 straights in this matrix for Ohio. 

    Here is Ohio's current matrix.  The combos are listed in ascending order...the number to the right of each is how many consecutive games ago it was last drawn:

    003 1881
    007 1197
    010 1260
    014 1
    016 1491
    021 1100
    029 1019
    030 1841
    031 1255
    033 1367
    035 1701
    036 129
    040 1603
    043 156
    044 1203
    045 1269
    050 1642
    054 1480
    058 146
    063 1095
    066 1858
    067 1145
    068 1421
    069 1488
    071 14
    073 1654
    079 1107
    083 1770
    085 184
    086 1854
    087 18
    093 1679
    095 128
    097 124
    098 188
    112 126
    114 1680
    115 165
    121 1781
    122 1051
    124 134
    127 1330
    128 114
    133 1327
    134 1018
    136 1396
    137 1589
    140 1484
    142 1173
    147 1121
    148 192
    150 193
    151 1533
    152 1122
    158 131
    159 1884
    160 1674
    161 121
    162 1374
    163 1522
    166 1006
    167 10
    168 176
    171 1773
    172 1161
    183 1638
    184 1103
    185 172
    187 153
    188 1890
    190 1768
    198 196
    202 174
    203 1067
    204 1409
    206 1206
    209 1749
    215 1030
    218 1154
    220 154
    222 187
    225 1785
    226 182
    229 1400
    234 1291
    240 162
    241 1451
    242 147
    243 104
    245 1065
    246 166
    251 1202
    255 157
    256 127
    262 1270
    263 1842
    266 1414
    269 119
    272 1261
    275 111
    287 1473
    290 1544
    293 1187
    298 132
    299 112
    303 199
    304 1632
    306 1134
    307 1800
    308 1071
    310 150
    312 148
    318 160
    322 1209
    326 125
    327 1564
    341 123
    345 100
    346 1143
    348 107
    350 1905
    352 1137
    353 1196
    354 1323
    355 1956
    356 13
    357 12
    359 1218
    360 1977
    365 139
    368 1417
    373 1149
    384 1123
    385 144
    386 1129
    395 1510
    399 1441
    400 1835
    401 1346
    405 1128
    409 1971
    413 152
    416 1147
    418 195
    426 1332
    427 1022
    429 135
    430 1265
    431 1142
    434 1459
    437 1233
    440 1896
    444 1796
    452 1732
    453 1056
    463 1521
    465 1556
    466 1810
    469 1353
    471 1523
    473 1388
    480 1184
    482 1224
    485 1015
    486 171
    487 1035
    496 1188
    498 1046
    501 1659
    503 117
    504 1124
    508 136
    510 1803
    514 1894
    519 1974
    523 1980
    535 1982
    538 1369
    540 1201
    542 181
    547 1595
    549 1126
    552 1519
    557 173
    558 167
    559 1540
    560 1288
    563 159
    564 1104
    566 1189
    569 1164
    574 163
    579 1136
    581 1821
    584 168
    585 1033
    586 1517
    588 1784
    593 1171
    599 1053
    603 185
    610 108
    611 1767
    613 16
    614 1231
    616 1208
    617 1601
    620 1455
    627 1437
    635 1875
    640 1917
    643 1317
    648 1326
    650 1010
    651 1257
    652 1947
    655 1735
    657 1629
    659 113
    663 1014
    669 1913
    670 155
    671 1148
    674 1739
    675 1991
    676 1222
    680 1563
    681 1844
    684 198
    686 1650
    687 120
    688 1906
    689 1098
    690 1713
    691 1582
    693 1341
    697 1042
    699 151
    704 141
    706 1462
    707 1392
    711 1561
    713 1168
    719 1320
    722 102
    723 1082
    726 1254
    728 1376
    729 1805
    730 1368
    735 1496
    738 19
    739 1084
    740 1418
    742 1728
    745 1366
    748 161
    749 115
    751 189
    752 1099
    755 1813
    757 1511
    762 1763
    763 1619
    767 1761
    768 1442
    771 1820
    772 1520
    782 197
    783 179
    784 15
    785 183
    788 1279
    790 1088
    793 1920
    794 1505
    803 1816
    804 1050
    805 1364
    806 1958
    808 142
    810 1016
    812 1043
    813 1335
    815 1319
    818 1340
    819 1425
    820 169
    822 164
    824 1431
    831 1304
    832 1213
    835 1365
    839 191
    842 1380
    844 1039
    846 1446
    847 1352
    848 1482
    856 103
    858 118
    859 1487
    861 1294
    863 1626
    866 186
    867 1339
    870 1493
    874 1034
    879 11
    893 1453
    895 1979
    898 1159
    902 158
    907 1937
    910 1021
    912 143
    916 1186
    917 105
    918 1653
    919 1325
    921 1836
    926 1756
    931 1791
    941 1412
    944 17
    947 1946
    949 1336
    954 130
    956 1961
    958 178
    960 1087
    963 1502
    964 1710
    968 1259
    972 122
    974 1250
    978 1865
    979 1193
    980 145
    983 116
    991 1955

    Here are some facts to keep in mind while anticipating numbers from the matrix to hit:

    • When you see a Benford Number hit, there IS about a 55% chance that another hit from the matrix will occur within the next 2 games.
    • When a Benford Number hits, there is about a 70% chance that another hit from the matrix will occur within the next 3 games!
    • 90% of all Benford hits occur within 6 games of their last hit.

    These percentages are based on probability and should apply to the specific matrices of each state.  The statistical performance of the probabilites are right on par in Ohio.

    In Ohio, the last four consecutive games have not consisted of numbers from the Benford Group, so watch for one to hit here very soon.  When the next Benford Number actually does hit, I would anticipate another hit within the next two games afterwards because that 55% chance/event is extremely due!

    341 numbers is way too many to play.  The idea is to use the group as a pool to choose numbers from.  Since digits, root sum and other such measurements should more or less be equally distributed across the matrix, it will help to use other indicators while choosing.  For example, in position-two (Ohio), the digit 2 has not been drawn for 59 games now.  Banking on a Benford Number with a middle digit 2 will lead you to these 31 numbers from the matrix above:

    021
    029
    121
    122
    124
    127
    128
    220
    222
    225
    226
    229
    322
    326
    327
    426
    427
    429
    523
    620
    627
    722
    723
    726
    728
    729
    820
    822
    824
    921
    926

    Of course you can always filter for boxed and doubles as well.
     

    ~Probability=Odds in Motion~

      Kola's avatar - image
      Blundering Time Traveler

      United States
      Member #28945
      December 25, 2005
      1527 Posts
      Offline
      Posted: January 16, 2007, 3:02 pm - IP Logged

      Always enjoy your posts Thoth, and the work that goes into them. This one is no exception - very instructive and confirms much.... Thank you.

      Legend says that The Craggy One was once asked about the Lottery Circle and the aged Lottery LoreKeeper whispered in his gravelly eloquence,"It is known among our kind that 2 successive draws are in reality the 2 center-points of 2 intersecting circles that share a common radius - a Root Center. This Vesica Piscis is the creative womb for all numbers, the Still Point from which two draws will unite & a new one is born. This "perfect" space is a wormhole through Time(Change). Master its proportions & your numerical predictions will not falter". 

        CCHS13's avatar - chi jpeg.jpg
        Illinois
        United States
        Member #46704
        September 23, 2006
        3692 Posts
        Offline
        Posted: January 16, 2007, 3:23 pm - IP Logged

        Toth this is some deep stuff,  what interests me the most

        is the fact that you are targeting str8's

        Keep up the good work

        Men Lie Women Lie Numbers Dont

          cps10's avatar - Lottery-004.jpg
          The Carolinas - Charlotte
          United States
          Member #21627
          September 12, 2005
          4138 Posts
          Offline
          Posted: January 16, 2007, 3:25 pm - IP Logged

          Straights seem to be the way to go. I love this post...

          The North Carolina Education Lottery - so much a joke that here are their mascots:

          Stooges

            cps10's avatar - Lottery-004.jpg
            The Carolinas - Charlotte
            United States
            Member #21627
            September 12, 2005
            4138 Posts
            Offline
            Posted: January 16, 2007, 3:27 pm - IP Logged

            I would be inclined to wait for a skip of 2 to 3 of a Benford number and then move in for the winner. Progressively, this could be done easily.

            Thoth - do you have Ohio's max skip of a Benford number? How easy is this to apply to other states/draws?

            The North Carolina Education Lottery - so much a joke that here are their mascots:

            Stooges

              CARBOB's avatar - FL LOTTERY_LOGO.png
              ORLANDO, FLORIDA
              United States
              Member #4924
              June 3, 2004
              5893 Posts
              Offline
              Posted: January 16, 2007, 6:44 pm - IP Logged

              Using the Benford Matrix

              As I stated above, there are usually about 333 straight numbers in the Benford Matrix at any given time.  These numbers are the ones that are actually capable of hitting (ending their skips) at value that starts with the digit one.  At this moment, there are 341 straights in this matrix for Ohio. 

              Here is Ohio's current matrix.  The combos are listed in ascending order...the number to the right of each is how many consecutive games ago it was last drawn:

              003 1881
              007 1197
              010 1260
              014 1
              016 1491
              021 1100
              029 1019
              030 1841
              031 1255
              033 1367
              035 1701
              036 129
              040 1603
              043 156
              044 1203
              045 1269
              050 1642
              054 1480
              058 146
              063 1095
              066 1858
              067 1145
              068 1421
              069 1488
              071 14
              073 1654
              079 1107
              083 1770
              085 184
              086 1854
              087 18
              093 1679
              095 128
              097 124
              098 188
              112 126
              114 1680
              115 165
              121 1781
              122 1051
              124 134
              127 1330
              128 114
              133 1327
              134 1018
              136 1396
              137 1589
              140 1484
              142 1173
              147 1121
              148 192
              150 193
              151 1533
              152 1122
              158 131
              159 1884
              160 1674
              161 121
              162 1374
              163 1522
              166 1006
              167 10
              168 176
              171 1773
              172 1161
              183 1638
              184 1103
              185 172
              187 153
              188 1890
              190 1768
              198 196
              202 174
              203 1067
              204 1409
              206 1206
              209 1749
              215 1030
              218 1154
              220 154
              222 187
              225 1785
              226 182
              229 1400
              234 1291
              240 162
              241 1451
              242 147
              243 104
              245 1065
              246 166
              251 1202
              255 157
              256 127
              262 1270
              263 1842
              266 1414
              269 119
              272 1261
              275 111
              287 1473
              290 1544
              293 1187
              298 132
              299 112
              303 199
              304 1632
              306 1134
              307 1800
              308 1071
              310 150
              312 148
              318 160
              322 1209
              326 125
              327 1564
              341 123
              345 100
              346 1143
              348 107
              350 1905
              352 1137
              353 1196
              354 1323
              355 1956
              356 13
              357 12
              359 1218
              360 1977
              365 139
              368 1417
              373 1149
              384 1123
              385 144
              386 1129
              395 1510
              399 1441
              400 1835
              401 1346
              405 1128
              409 1971
              413 152
              416 1147
              418 195
              426 1332
              427 1022
              429 135
              430 1265
              431 1142
              434 1459
              437 1233
              440 1896
              444 1796
              452 1732
              453 1056
              463 1521
              465 1556
              466 1810
              469 1353
              471 1523
              473 1388
              480 1184
              482 1224
              485 1015
              486 171
              487 1035
              496 1188
              498 1046
              501 1659
              503 117
              504 1124
              508 136
              510 1803
              514 1894
              519 1974
              523 1980
              535 1982
              538 1369
              540 1201
              542 181
              547 1595
              549 1126
              552 1519
              557 173
              558 167
              559 1540
              560 1288
              563 159
              564 1104
              566 1189
              569 1164
              574 163
              579 1136
              581 1821
              584 168
              585 1033
              586 1517
              588 1784
              593 1171
              599 1053
              603 185
              610 108
              611 1767
              613 16
              614 1231
              616 1208
              617 1601
              620 1455
              627 1437
              635 1875
              640 1917
              643 1317
              648 1326
              650 1010
              651 1257
              652 1947
              655 1735
              657 1629
              659 113
              663 1014
              669 1913
              670 155
              671 1148
              674 1739
              675 1991
              676 1222
              680 1563
              681 1844
              684 198
              686 1650
              687 120
              688 1906
              689 1098
              690 1713
              691 1582
              693 1341
              697 1042
              699 151
              704 141
              706 1462
              707 1392
              711 1561
              713 1168
              719 1320
              722 102
              723 1082
              726 1254
              728 1376
              729 1805
              730 1368
              735 1496
              738 19
              739 1084
              740 1418
              742 1728
              745 1366
              748 161
              749 115
              751 189
              752 1099
              755 1813
              757 1511
              762 1763
              763 1619
              767 1761
              768 1442
              771 1820
              772 1520
              782 197
              783 179
              784 15
              785 183
              788 1279
              790 1088
              793 1920
              794 1505
              803 1816
              804 1050
              805 1364
              806 1958
              808 142
              810 1016
              812 1043
              813 1335
              815 1319
              818 1340
              819 1425
              820 169
              822 164
              824 1431
              831 1304
              832 1213
              835 1365
              839 191
              842 1380
              844 1039
              846 1446
              847 1352
              848 1482
              856 103
              858 118
              859 1487
              861 1294
              863 1626
              866 186
              867 1339
              870 1493
              874 1034
              879 11
              893 1453
              895 1979
              898 1159
              902 158
              907 1937
              910 1021
              912 143
              916 1186
              917 105
              918 1653
              919 1325
              921 1836
              926 1756
              931 1791
              941 1412
              944 17
              947 1946
              949 1336
              954 130
              956 1961
              958 178
              960 1087
              963 1502
              964 1710
              968 1259
              972 122
              974 1250
              978 1865
              979 1193
              980 145
              983 116
              991 1955

              Here are some facts to keep in mind while anticipating numbers from the matrix to hit:

              • When you see a Benford Number hit, there IS about a 55% chance that another hit from the matrix will occur within the next 2 games.
              • When a Benford Number hits, there is about a 70% chance that another hit from the matrix will occur within the next 3 games!
              • 90% of all Benford hits occur within 6 games of their last hit.

              These percentages are based on probability and should apply to the specific matrices of each state.  The statistical performance of the probabilites are right on par in Ohio.

              In Ohio, the last four consecutive games have not consisted of numbers from the Benford Group, so watch for one to hit here very soon.  When the next Benford Number actually does hit, I would anticipate another hit within the next two games afterwards because that 55% chance/event is extremely due!

              341 numbers is way too many to play.  The idea is to use the group as a pool to choose numbers from.  Since digits, root sum and other such measurements should more or less be equally distributed across the matrix, it will help to use other indicators while choosing.  For example, in position-two (Ohio), the digit 2 has not been drawn for 59 games now.  Banking on a Benford Number with a middle digit 2 will lead you to these 31 numbers from the matrix above:

              021
              029
              121
              122
              124
              127
              128
              220
              222
              225
              226
              229
              322
              326
              327
              426
              427
              429
              523
              620
              627
              722
              723
              726
              728
              729
              820
              822
              824
              921
              926

              Of course you can always filter for boxed and doubles as well.
               

              Thoth,

                1/15/07 Mid 614

                1/16/07 Mid 675

              This is very interesting, Thoth like always.

              Thanks

                WIN  D's avatar - q05Q0
                Stone Mountain*Georgia
                United States
                Member #828
                November 2, 2002
                10491 Posts
                Offline
                Posted: January 16, 2007, 8:17 pm - IP Logged

                 Mother Nature ... She's a real character sometimes. LOL Just a little too cute for me...

                 

                Tue, Jan 16, 20076-7-52-3-23-7-1-57-1-0-2

                 

                 

                The only real failure .....is the failure to try.                               

                                              Luck is a very rare thing....... Odds not so much. 

                                              Odds never change .....but probability does. 

                                                                                                       Win d    

                  Thoth's avatar - binary
                  Findlay, Ohio
                  United States
                  Member #4855
                  May 28, 2004
                  400 Posts
                  Offline
                  Posted: January 22, 2007, 12:03 pm - IP Logged

                  I would be inclined to wait for a skip of 2 to 3 of a Benford number and then move in for the winner. Progressively, this could be done easily.

                  Thoth - do you have Ohio's max skip of a Benford number? How easy is this to apply to other states/draws?

                  CPS10,

                  Sorry for the delayed response...

                  The max skip in Ohio for the Benford group is 20 draws.  Here is the top 30 largest skips of the group:

                   

                  Top 30Skips
                  120
                  220
                  319
                  418
                  517
                  617
                  717
                  816
                  916
                  1016
                  1115
                  1215
                  1315
                  1414
                  1514
                  1614
                  1714
                  1814
                  1914
                  2013
                  2113
                  2213
                  2313
                  2413
                  2512
                  2612
                  2712
                  2812
                  2912
                  3012

                  This table represents the largest skips of the benford group when examining the draw history from game 2,000 through 10,781.  If you start the test at game #1 you will have some much larger skips for the group (Top 3 are: 76, 48, 47).  I don't count these because it takes about 2000 draws to start to establish the stratetgy to begin with.

                  ~Probability=Odds in Motion~

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                    Anywhere & Everywhere
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                    Posted: February 3, 2007, 7:43 pm - IP Logged

                    Thoth,

                    Tell me what do you think the significance may be from this test. I just recorded a group of 1,000 recent draws in TX with how many had a sum of 10-19, using the benford group first digit #1, the result was the infamous 666 times. Hmmmm!

                     Also, I understand I am applying a slightly different perspective for review. However, if I am understanding correctly with your application, you are changing the combos every draw accordingly to various #1 digit skip groups?

                    Also, more food for thought. There has been a lot of studies done on end digits analysis, like end digit, last digit, short sum, root, etc...I wonder if they can be combined at some point, once this part has been ironed out definitively.

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                      Anywhere & Everywhere
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                      Posted: February 3, 2007, 10:41 pm - IP Logged

                      Well, I dont want to take this study too far ofcourse, however, I think there is a relationship. One reason why there was 66.6% hit rate with sums 10-19, is that there are more combos in this range than 0-9 and 20-27 range. Although, I have no mathematical factual basics, I believe that the end digits 0-5 are most likely. Therefore, Im thinking skips 11-15 are more likely than skips 16-19. Well probably because of something you said before. If something has been out 2-9 draws, then the further out each draw the greater the probability of occurrence. Over the same period sums 11-15 hit 354x and sums 16-19 hit 241x

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                        Anywhere & Everywhere
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                        Posted: February 3, 2007, 10:59 pm - IP Logged

                        Can we make this assumption that 40% of draws will come from the following 6 out of the 27 sums > 10-15?

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                          Posted: February 5, 2007, 9:53 am - IP Logged

                          You could also apply the 'probability of probability' to guessing when to play the Benford 1's, the 2's, the 3's etc., adding another layer.

                          I think that lottery analysis is like slicing a grapefruit.  For Pick 3, imagine dividing the grapefruit into one thousand equal pieces.  Think of cutting it down the middle, you will have two equal parts, and you can place a bet on which one is more likely to occur.  Then slice horizontally, so you have quadrants.  Each filter that you apply provides a slice at a different angle, eventually you're left with a very small piece of grapefruit, hopefully the winning number!  Benford's Law can provide a couple of excellent cuts through that grapefruit.

                            Thoth's avatar - binary
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                            Posted: February 5, 2007, 9:34 pm - IP Logged

                            You could also apply the 'probability of probability' to guessing when to play the Benford 1's, the 2's, the 3's etc., adding another layer.

                            I think that lottery analysis is like slicing a grapefruit.  For Pick 3, imagine dividing the grapefruit into one thousand equal pieces.  Think of cutting it down the middle, you will have two equal parts, and you can place a bet on which one is more likely to occur.  Then slice horizontally, so you have quadrants.  Each filter that you apply provides a slice at a different angle, eventually you're left with a very small piece of grapefruit, hopefully the winning number!  Benford's Law can provide a couple of excellent cuts through that grapefruit.

                            I like waiting for one of the "Benford numbers" to hit...then gamble on the 55% chance that another one will hit within the next two games.  Of course other factors have to be included to narrow the picks in that group down

                            ~Probability=Odds in Motion~

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                              Posted: February 7, 2007, 12:06 am - IP Logged

                              Over the same period sums 11-15 hit 354x and sums 16-19 hit 241x

                              Jennilynn418.

                              Using sums is a very effective way to win in the pick3. The most common group of sums are the 12-15 group. To arrive at a sum just add all three digits together. If you take away doubles you have  only 10 numbers to work in each of these 4 groups. In the month of Jan. for NY there were 16 hits from the 12-15 group. Not bad considering there only 40 possible non-match numbers from these sums. Go back the past couple weeks in your state and look for the hottest sum and most due sum from the 12-15 group, and play the numbers in it. For example in NY the sum 13 is the most due to show, while the 15 has been the hottest this year. Each time a number hits in the 12-15 group mark it down, this way you can see whats hot, and overdue. Here is a list of the 12-15 sums, minus the doubles.

                              12-039-048-057-156-147-237-246-345-129-138

                              13-049-058-067-139-148-157-238-247-256-346

                              14-059-068-149-158-167-239-248-257-347-356

                              15-069-078-159-168-249-258-267-348-357-456

                               

                              *******************

                               

                               12156.8%039 048 057 066 129 138 147 156 228 237 246 255 336 345 444
                               13156.8%049 058 067 139 148 157 166 229 238 247 256 337 346 355 445
                               14156.8%059 068 077 149 158 167 239 248 257 266 338 347 356 446 455
                               15156.8%069 078 159 168 177 249 258 267 339 348 357 366 447 456 555

                               

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