Analyze roulette number frequency and roulette wheel bias.

Roulette Number Pairing — Real Spins From Hamburg Spielbank (Casino), January 2006

Roulette analysis: Real casino spins and roulette wheel bias.

Written by Ion Saliu on February 4, 2006.

A pairing in roulette is a roulette number AND the number drawn in the very next spin. In the case of a consecutive hit, a roulette number is followed by itself. Let it be said that each roulette number can be followed by itself with an equal frequency to a pairing consisting of a different number. The probability is the same.

I analyzed real spins recorded at the Hamburg, Germany casino, January 1 – 31, 2006. File name: HAMB0106.WH1 freeware from my FTP download site.

In an apparent change of heart, the Hamburg casino (Spielbank) offers online roulette results for free. A positive visitor to my website (I'd love all of them be like that!) gave me the new information. The new link is (for the time being---non-clickable, for it changes again...and again...then disappears...):

http://www.spielbank-hamburg.de/spielsaal/permanenzen.php4
HTML title: "Spielbank Hamburg - Real Game. Real Money."
I cannot guarantee the accuracy of data. But I may not doubt the integrity of spielbank-hamburg.de (government controlled).

The results are categorized by the following parameters, in order:
Table or Wheel (Tisch) – Day (Tag) – Month (Monat) – Year (Jahr).

I downloaded the results for one table or wheel (#1) for the entire month of January 2006. File name: HAMB0106.WH1; 7990 lines (draws or spins) in text format; the last draw of 31 January 2006 is at the very top of the file (line #1). The file contains roulette numbers (spins) only, one number per line. The casino results files have also other data, such as frequency and various statistics. The files also have dashed lines (----) which probably represent dealer changes.

HAMB0106.WH1 represents the best recording format: table by table. Do not mix the spins from different roulette wheels in the same file.

A statistical report of thousands of real roulette spins from Hamburg Spielbank Casino.

See the roulette number pairings reports for the HAMB0106.WH1 spins file. The first report is for the most recent 1000 spins: approximately 4 days worth of spinning or January 27 to 31, 2006. The second report analyzes all 7990 roulette spins for the month of January 2006. I do not see any bias according to the normal probability rule.

You can check playing a strategy based on the top 12 pairings of every roulette number. Kokodrilo, you don't have to spend any money. Just check the pairings against future roulette spins at Hamburg Spielbank. The pairings lose their potency with time. I would not trust them for more than 1000 future spins. The roulette pairings strategy is far more potent when the skips are accounted for. That feature is not to be revealed at this time — possibly never for free. But I trust you got good brains, kokodrilo; and money, too.

Deeper statistical and gambling analysis here: Roulette Number Pairing Analysis — Is There A Mechanical Wheel Bias?

Roulette number pairing at Hamburg Spielbank Casino.

                      Roulette Numbers Pairings Report
                      Casino Spins File: HAMB0106.WH1
                      Number of REAL Spins Analyzed: 1000

       Number:  0     Hits:   16   ( 1.6 %)
 With #: 13 15 24 34 10 4  6  7  30 32 9  35
 Hits:   2  2  2  2  1  1  1  1  1  1  1  1
 Pairs total: 16

       Number:  1     Hits:   24   ( 2.4 %)
 With #: 13 11 10 7  9  3  4  5  14 15 19 21 23 25 26 27 29 31 34 35
 Hits:   3  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 24

       Number:  2     Hits:   26   ( 2.6 %)
 With #: 3  2  19 25 28 11 12 14 16 18 1  20 21 24 6  7  31 32 34 35
 Hits:   3  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 26

       Number:  3     Hits:   25   ( 2.5 %)
 With #: 17 18 14 7  9  19 16 2  13 8  20 22 23 24 25 32 33
 Hits:   3  3  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 25

       Number:  4     Hits:   37   ( 3.7 %)
 With #: 9  11 31 13 19 4  34 35 10 0  12 5  14 6  20 21 23 26 27 29 30 7  32 33 8  1
 Hits:   3  3  3  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 37

       Number:  5     Hits:   42   ( 4.2 %)
 With #: 5  14 10 11 6  17 19 23 27 28 30 35 15 16 1  7  20 21 22 8  24 25 26 3  4  13 0  36
 Hits:   3  3  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 42

       Number:  6     Hits:   25   ( 2.5 %)
 With #: 28 18 12 4  5  6  7  8  10 11 1  16 2  21 22 25 26 3  29 31 32
 Hits:   3  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 25

       Number:  7     Hits:   25   ( 2.5 %)
 With #: 33 11 20 3  7  8  2  14 18 19 1  22 23 24 25 27 29 30 4  35
 Hits:   3  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 25

       Number:  8     Hits:   20   ( 2 %)
 With #: 22 32 10 11 12 14 15 21 2  23 25 26 27 28 30 3  33 35
 Hits:   2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 20

       Number:  9     Hits:   25   ( 2.5 %)
 With #: 4  13 24 6  9  11 3  14 15 17 19 20 21 22 2  27 28 30 31 32 34 35
 Hits:   2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 25

       Number:  10    Hits:   31   ( 3.1 %)
 With #: 32 36 21 28 29 6  11 8  2  12 13 14 17 20 3  26 4  5  30 0  35 7
 Hits:   3  3  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 31

       Number:  11    Hits:   39   ( 3.9 %)
 With #: 5  12 22 2  19 21 6  33 35 14 15 7  20 9  11 23 25 26 27 28 29 30 32 3  13 36
 Hits:   3  3  3  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 38

       Number:  12    Hits:   29   ( 2.9 %)
 With #: 20 23 16 5  9  28 1  11 13 2  17 18 3  0  25 7  29 30 31 32 33
 Hits:   3  3  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 29

       Number:  13    Hits:   33   ( 3.3 %)
 With #: 5  4  10 11 15 19 25 33 0  13 14 2  16 17 18 8  21 22 24 9  27 30 31 3
 Hits:   3  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 33

       Number:  14    Hits:   34   ( 3.4 %)
 With #: 20 10 12 5  25 27 28 30 16 18 2  21 22 24 7  8  3  4  31 33 35
 Hits:   5  4  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 34

       Number:  15    Hits:   23   ( 2.3 %)
 With #: 5  11 22 23 28 30 13 15 3  10 25 27 4  12 32 33 36
 Hits:   2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 23

       Number:  16    Hits:   25   ( 2.5 %)
 With #: 26 16 19 5  32 10 11 14 1  6  22 7  27 29 30 31 9  34 36
 Hits:   3  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 25

       Number:  17    Hits:   21   ( 2.1 %)
 With #: 10 4  15 17 27 29 6  7  20 21 26 3  12 32
 Hits:   3  2  2  2  2  2  1  1  1  1  1  1  1  1
 Pairs total: 21

       Number:  18    Hits:   26   ( 2.6 %)
 With #: 6  11 12 13 19 30 32 15 4  23 24 27 5  31 14 34 35
 Hits:   3  3  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1
 Pairs total: 26

       Number:  19    Hits:   31   ( 3.1 %)
 With #: 28 30 17 20 4  13 14 15 16 5  19 9  21 25 26 12 0  32 33 34 35
 Hits:   4  4  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 31

       Number:  20    Hits:   31   ( 3.1 %)
 With #: 21 4  10 23 27 29 1  11 12 13 15 18 0  6  24 25 8  28 9  32 35 36
 Hits:   4  3  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 31

       Number:  21    Hits:   25   ( 2.5 %)
 With #: 5  10 13 16 21 11 1  15 6  17 18 19 4  27 32 34 35
 Hits:   5  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 25

       Number:  22    Hits:   24   ( 2.4 %)
 With #: 11 14 17 18 26 4  20 22 23 24 12 27 28 29 30 31 32 33
 Hits:   3  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 24

       Number:  23    Hits:   23   ( 2.3 %)
 With #: 4  1  12 20 28 0  14 16 7  21 23 24 26 11 29 32 36
 Hits:   3  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 23

       Number:  24    Hits:   23   ( 2.3 %)
 With #: 2  5  6  19 0  7  9  10 11 13 15 16 18 1  26 27 30 32 34
 Hits:   2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 23

       Number:  25    Hits:   23   ( 2.3 %)
 With #: 14 18 2  6  9  10 12 3  17 4  21 24 28 30 31 32 34 36
 Hits:   3  3  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 23

       Number:  26    Hits:   27   ( 2.7 %)
 With #: 33 4  5  22 26 3  8  9  13 16 18 19 2  23 0  28 29 31 7  35
 Hits:   3  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 27

       Number:  27    Hits:   27   ( 2.7 %)
 With #: 35 7  8  29 30 3  11 12 13 16 17 19 20 23 24 25 26 1  0  9
 Hits:   3  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 27

       Number:  28    Hits:   37   ( 3.7 %)
 With #: 26 9  1  2  13 14 5  27 28 29 36 21 24 25 0  11 16 18 31 32 35 19
 Hits:   4  3  3  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 37

       Number:  29    Hits:   32   ( 3.2 %)
 With #: 20 29 8  12 19 1  24 5  33 18 4  11 23 0  25 26 28 15 32 16 36
 Hits:   3  3  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 32

       Number:  30    Hits:   31   ( 3.1 %)
 With #: 8  27 18 20 22 25 17 29 36 19 0  11 14 16 28 3  30 31 32 4
 Hits:   3  3  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 31

       Number:  31    Hits:   21   ( 2.1 %)
 With #: 2  29 10 4  33 0  11 13 15 23 6  7  35 36
 Hits:   3  3  2  2  2  1  1  1  1  1  1  1  1  1
 Pairs total: 21

       Number:  32    Hits:   31   ( 3.1 %)
 With #: 1  14 24 12 26 28 29 11 4  6  16 18 21 22 7  8  9  10 33 35
 Hits:   4  3  3  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 31

       Number:  33    Hits:   28   ( 2.8 %)
 With #: 5  16 12 13 15 10 22 14 3  2  17 19 8  30 31 32 33 34 36
 Hits:   3  3  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 28

       Number:  34    Hits:   16   ( 1.6 %)
 With #: 0  1  2  5  6  9  10 13 18 22 28 29 31 33 34 36
 Hits:   1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 16

       Number:  35    Hits:   26   ( 2.6 %)
 With #: 14 7  5  33 13 3  15 18 20 23 24 25 26 30 31 32 9  34 35
 Hits:   4  3  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 26

       Number:  36    Hits:   18   ( 1.8 %)
 With #: 4  28 1  6  8  11 12 15 16 19 20 27 2  29 31 33
 Hits:   2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 18



                      Roulette Numbers Pairings Report
                      Casino Spins File: HAMB0106.wh1
                      Number of REAL Spins Analyzed: 500


       Number:  0     Hits:   5    ( 1 %)
 With #: 34 6  10 4
 Hits:   2  1  1  1
 Pairs total: 5

       Number:  1     Hits:   8    ( 1.6 %)
 With #: 11 13 4  14 15 21
 Hits:   2  2  1  1  1  1
 Pairs total: 8

       Number:  2     Hits:   15   ( 3 %)
 With #: 3  19 6  7  14 16 2  20 24 25 28 31 32
 Hits:   2  2  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 15

       Number:  3     Hits:   11   ( 2.2 %)
 With #: 2  8  9  14 19 20 22 23 25 32 33
 Hits:   1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 11

       Number:  4     Hits:   21   ( 4.2 %)
 With #: 9  11 31 5  6  8  0  10 1  12 13 19 20 29 30 4  32 35
 Hits:   2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 21

       Number:  5     Hits:   16   ( 3.2 %)
 With #: 14 35 6  10 11 13 4  16 22 23 24 25 26 5
 Hits:   2  2  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 16

       Number:  6     Hits:   13   ( 2.6 %)
 With #: 28 8  10 11 18 21 22 25 2  31 32
 Hits:   3  1  1  1  1  1  1  1  1  1  1
 Pairs total: 13

       Number:  7     Hits:   7    ( 1.4 %)
 With #: 14 18 20 22 27 29 33
 Hits:   1  1  1  1  1  1  1
 Pairs total: 7

       Number:  8     Hits:   11   ( 2.2 %)
 With #: 22 11 12 14 10 23 25 26 32 35
 Hits:   2  1  1  1  1  1  1  1  1  1
 Pairs total: 11

       Number:  9     Hits:   14   ( 2.8 %)
 With #: 4  3  11 13 14 15 22 24 27 28 30 32 34
 Hits:   2  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 14

       Number:  10    Hits:   13   ( 2.6 %)
 With #: 21 29 36 13 14 20 0  26 3  11
 Hits:   2  2  2  1  1  1  1  1  1  1
 Pairs total: 13

       Number:  11    Hits:   23   ( 4.6 %)
 With #: 2  6  19 22 33 35 15 3  20 9  25 26 28 32 13 14
 Hits:   2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1
 Pairs total: 22

       Number:  12    Hits:   14   ( 2.8 %)
 With #: 23 9  5  1  13 16 20 3  29 30 33
 Hits:   3  2  1  1  1  1  1  1  1  1  1
 Pairs total: 14

       Number:  13    Hits:   18   ( 3.6 %)
 With #: 4  25 33 8  11 13 15 16 18 19 22 3  27 31 5
 Hits:   2  2  2  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 18

       Number:  14    Hits:   22   ( 4.4 %)
 With #: 20 10 5  30 8  3  12 18 2  21 22 25 28 7  31 35
 Hits:   4  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 22

       Number:  15    Hits:   13   ( 2.6 %)
 With #: 22 23 30 11 12 27 28 13 33 36
 Hits:   2  2  2  1  1  1  1  1  1  1
 Pairs total: 13

       Number:  16    Hits:   12   ( 2.4 %)
 With #: 19 26 11 14 16 5  10 27 30 36
 Hits:   2  2  1  1  1  1  1  1  1  1
 Pairs total: 12

       Number:  17    Hits:   6    ( 1.2 %)
 With #: 4  6  10 17 20 26
 Hits:   1  1  1  1  1  1
 Pairs total: 6

       Number:  18    Hits:   11   ( 2.2 %)
 With #: 11 19 12 15 6  30 31 32 35
 Hits:   2  2  1  1  1  1  1  1  1
 Pairs total: 11

       Number:  19    Hits:   14   ( 2.8 %)
 With #: 17 30 13 14 15 4  20 21 28 9  32 33
 Hits:   2  2  1  1  1  1  1  1  1  1  1  1
 Pairs total: 14

       Number:  20    Hits:   18   ( 3.6 %)
 With #: 4  23 27 29 18 21 11 24 25 12 28 15 32 35
 Hits:   2  2  2  2  1  1  1  1  1  1  1  1  1  1
 Pairs total: 18

       Number:  21    Hits:   11   ( 2.2 %)
 With #: 21 5  10 13 15 17 19 1  27 35
 Hits:   2  1  1  1  1  1  1  1  1  1
 Pairs total: 11

       Number:  22    Hits:   16   ( 3.2 %)
 With #: 11 12 14 17 18 20 22 23 24 26 27 28 30 32 33
 Hits:   2  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 16

       Number:  23    Hits:   14   ( 2.8 %)
 With #: 4  20 11 14 16 0  21 23 24 26 29
 Hits:   3  2  1  1  1  1  1  1  1  1  1
 Pairs total: 14

       Number:  24    Hits:   11   ( 2.2 %)
 With #: 1  2  5  6  10 11 13 15 26 27 30
 Hits:   1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 11

       Number:  25    Hits:   15   ( 3 %)
 With #: 2  14 6  9  10 12 4  18 24 28 32 34 36
 Hits:   2  2  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 15

       Number:  26    Hits:   19   ( 3.8 %)
 With #: 3  4  26 33 5  7  8  9  13 22 23 0  29 2  35
 Hits:   2  2  2  2  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 19

       Number:  27    Hits:   10   ( 2 %)
 With #: 1  7  8  11 12 24 25 29 30 35
 Hits:   1  1  1  1  1  1  1  1  1  1
 Pairs total: 10

       Number:  28    Hits:   18   ( 3.6 %)
 With #: 26 9  13 5  11 1  14 16 18 2  28 29
 Hits:   4  2  2  2  1  1  1  1  1  1  1  1
 Pairs total: 18

       Number:  29    Hits:   18   ( 3.6 %)
 With #: 29 12 33 8  0  16 24 25 26 28 1  32 5  36
 Hits:   3  2  2  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 18

       Number:  30    Hits:   17   ( 3.4 %)
 With #: 18 25 11 14 17 4  20 22 8  28 29 30 31 32 36
 Hits:   2  2  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 17

       Number:  31    Hits:   8    ( 1.6 %)
 With #: 2  6  7  11 29 33 36
 Hits:   2  1  1  1  1  1  1
 Pairs total: 8

       Number:  32    Hits:   16   ( 3.2 %)
 With #: 28 4  6  7  8  9  12 16 18 21 24 26 1  29 35
 Hits:   2  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 Pairs total: 16

       Number:  33    Hits:   16   ( 3.2 %)
 With #: 16 13 15 5  14 12 10 19 30 32 36
 Hits:   3  2  2  2  1  1  1  1  1  1  1
 Pairs total: 16

       Number:  34    Hits:   4    ( .8 %)
 With #: 2  6  9  29
 Hits:   1  1  1  1
 Pairs total: 4

       Number:  35    Hits:   13   ( 2.6 %)
 With #: 14 5  7  3  15 23 24 25 26 30 32
 Hits:   3  1  1  1  1  1  1  1  1  1  1
 Pairs total: 13

       Number:  36    Hits:   9    ( 1.8 %)
 With #: 2  4  8  12 15 19 20 28 33
 Hits:   1  1  1  1  1  1  1  1  1
 Pairs total: 9

Statistics of real roulette wheel spins at Hamburg Spielbank Casino.

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    Study a statistical analysis of real roulette spins (roulette actuals, permanenzen) from Hamburg Spielbank - the Hambrug casino in Geramany.