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Written by Ion Saliu on February 4, 2006.

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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...)

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.

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: Software for Casino Gambling, Roulette, Blackjack — Is There (Mechanical) Wheel Bias?

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

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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

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

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Comments:
: : Roulette Number Pairing - Real Roulette Spins From Hamburg Spielbank Casino. I have analyzed both real-life casino roulette spins and randomly generated spins. The skip represents the number of roulette spins between two hits of the same roulette numbers. Again, the skips are the same for both real–life spins and randomly generated roulette spins. The statistical parameters are in accordance to theory of probability. Roulette wheel bias might occur sometimes. It's hard and costly to check very often every roulette wheel in a casino. Later on this page you will see an event of possible wheel bias I witnessed in a real casino. I analyzed 1968 real spins recorded at the Hamburg, Germany Casino Kasino (Spielbank). We need go the casinos, stand near a roulette marquee, and painstakingly record every spin, for many hours. 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 roulette number. There is a number of 54 consecutive repeats in 1968 roulette spins. That amounts to about 27 roulette numbers in 1000 spins. There are 37 roulette numbers in the single–zero game (as in Hamburg, Germany). It means that a few roulette numbers did not hit in consecutive spins for the duration of a 1000–spin session. But each roulette number was followed in the very next spin by a different number at least 2 times in 1000 roulette spins. Roulette number 5 was followed by roulette #21 in the very next draw (spin) 4 times in 1968 spins. Therefore the statistical data is still compliant with the rule of the normal probability.The title of this statistical article is 'Statistics of Real Roulette Wheel Spins at Hamburg Spielbank Casino'. Study a statistical analysis of real roulette spins (roulette actuals, permanenzen) from Hamburg Spielbank - the Hambrug casino in Geramany. The analysis shows the frequency of every roulette number, plus the repeatability of roulette numbers. The roulette numbers tend to repeat less frequently than being followed by different numbers. Read here an original study of roulette number frequency, statistics and statistical analysis. See if there is a roulette wheel bias by analyzing real spins from casino, numbers, permanenzen, roulette actuals at Hamburg Spielbank, a casino in Germany.

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