Copyright 2024 - Patent # 8,777,716

Recommended Poker For Roulette™ math and payouts.
 
  Most math and payouts shown are for double zero games. Math and payouts for triple zero games are listed in the 3 spin section. Additional math and payouts, and an Excel document with all the math, for single, double and triple zero, and for 3, 4 and 5 spin results, are available on request. Progressive payouts, when offered, will pay 100% and 20% for the top two paylines of each paytable.
 
Three Spin Version  The three spin version is recommended for all live table installations. With only three spins, it allows for fast resolutions. Additionally, 0 and 00 (and 000) are fully wild - The "House Numbers" are now Player Numbers, enabling a high frequency of instant winners.
 
Four Spin Version  The four spin version can also be thought of as a four result version. It is intended for double ball or double wheel systems where two results are produced in a single spin, enabling resolutions in only two spins.
 
Five Spin Version  The five spin version is available for Roulette slot machines and internet casinos where gamblers are more likely to play for an extended period, with more spins per hour.



Three Spins - Math, Odds and Payouts
 
  The following chart shows the statistical odds for any particular combination.
 
  0 and 00 (and 000) are fully wild, creating instant winners. 'Instant' merely means that the players will know that when a 0 or 00 (or 000) appear, they have, at minimum, a Wild Pair. Resolution will still be after the third spin, so that if there is a better final result, it can be properly paid out.

Double Zero

Paytable 1

Paytable 2

Type

Examples

Combos

Probability

Odds - 1 in X

Pay

Return

Pay

Return

0, 0, 0 or 00, 00, 00

 0 

 0 

 0 

00

00

00

2

0.00003645

27,436.0

500

0.0182

500

0.0182

Three Mixed Wilds

 0 

00

00

 0 

00

 0 

6

0.00010935

9,145.3

100

0.0109

100

0.0109

Three Of A Kind or
Wild Three Of A Kind

33

33

33

18

 0 

18

684

0.01246537

80.2

25

0.3116

15

0.1870

Straight or Wild Straight

10

 8 

 9 

00

25

27

1,032

0.01880741

53.2

8

0.1505

5

0.0940

One Pair or Wild Pair
Includes Flushed Pairs

13

16

00

25

14

25

10,512

0.19157312

5.2

2

0.3831

2

0.3831

Flush

 4 

35

20

27

12

 7 

9,792

0.17845167

5.6

1

0.1785

Nothing

14

30

31

 6 

27

28

32,844

0.59855664

1.7

Total

0.8744

0.8718

House Edge

12.6%

12.8%

Hit Rate

22.3%

40.1%

 
 

Triple Zero

Paytable 1

Paytable 2

Type

Examples

Combos

Probability

Odds
- 1 in X

Pay

Return

Pay

Return

Three Identical Greens

0

0

0

000

000

000

3

0.000051

19,773.0

1,600

0.0809

1,200

0.0607

Three Unique Greens

0

000

 00 

00

0

000

6

0.000101

9,886.5

250

0.0253

300

0.0303

Three Mixed Greens

00

0

0

00

000

00

18

0.000303

3,295.5

250

0.0759

300

0.0910

Three Of A Kind

35

35

35

16

00

000

1,332

0.022455

44.5

5

0.1123

10

0.2245

Straight

23

24

22

000

11

10

1,446

0.024377

41.0

5

0.1219

10

0.2438

One Pair

34

12

34

21

0

36

13,878

0.233955

4.3

2

0.4679

1

0.2340

Nothing

17

13

12

3

10

34

42,636

0.718758

1.4

Total

  0.8841

  0.8843

House Edge

  11.6%

  11.6%

Hit Rate

  28.1%

  28.1%


  The table printing can be simplified to show three paylines. Or the 'same' payouts can be changed so they are not the same, and the house edge adjusts accordingly.
 


Four Spins - Math, Odds and Payouts
 
  The following chart shows the statistical odds for any particular combination. Note that some combinations may also contain a Flush. The Flush totals here are for combinations that do not have any other poker hand.
 
  0 and 00 (and 000) are fully wild.

Type

Examples

Combinations

Probability

Odds - 1 in X

Pay

Return

0, 0, 0, 0 or 00, 00, 00, 00

00

00

00

00

 0 

 0 

 0 

 0 

2

0.00000096

1,042,568.0

10,000

0.0096

Four Mixed Wilds

 0 

00

00

 0 

00

 0 

00

00

14

0.00000671

148,938.3

1,000

0.0067

Four Of A Kind or
Wild Four Of A Kind

 8 

 8 

 8 

 8 

21

00

21

 0 

2,340

0.00112223

891.1

100

0.1122

Two Pair

34

34

16

16

19

29

19

29

3,780

0.00181283

551.6

60

0.1088

Straight or Wild Straight

23

22

25

24

10

00

 8 

11

10,488

0.00502989

198.8

20

0.1006

Three Of A Kind or
Wild Three Of A Kind

17

 4 

17

17

 0 

 3 

20

 3 

60,624

0.02907436

34.4

5

0.1454

Flush, Pair, or Wild Pair

26

 2 

11

15

16

17

00

 9 

741,840

0.35577535

2.8

1

0.3558

Nothing

14

 2 

30

21

 1 

 4 

29

 2 

1,266,048

0.60717766

1.6

Total

0.8390

House Edge

16.1%

Hit Rate

39.3%



Five Spins - Math, Odds and Payouts
 
  The following chart shows the statistical odds for any particular combination. Note that many combinations may also contain a Flush. The Flush totals here are for combinations that do not have any additional poker hand.
 
  0 and 00 (and 000) are partially wild. A maximum of one wild can be used to complete a Wild Straight, or Wild Five of a Kind.

Type

Examples

Combinations

Probability

Odds - 1 in X

Pay

Return

Five Of A Kind or
Five Wilds

29

29

29

29

29

00

 0 

00

00

 0 

68

0.00000086

1,165,223.1

10,000

0.0086

Wild Five Of A Kind
Four Of A Kind plus one Wild

16

00

16

16

16

 8 

 8 

 8 

 0 

 8 

360

0.00000454

220,097.7

2,000

0.0091

Four Of A Kind

20

20

32

20

20

 9 

25

 9 

 9 

 9 

6,660

0.00008405

11,897.2

1,000

0.0841

Full House

13

13

26

26

13

14

14

 0 

14

 0 

14,040

0.00017719

5,643.5

750

0.1329

Straight or Wild Straight

33

29

30

32

31

 0 

14

13

16

12

34,800

0.00043920

2,276.9

250

0.1098

Three Of A Kind

19

19

12

19

 0 

26

25

26

 8 

26

506,160

0.00638807

156.5

25

0.1597

Two Pair

 4 

31

17

17

 4 

00

20

 3 

00

 3 

759,240

0.00958211

104.4

15

0.1437

Flush

19

34

 5 

25

 1 

10

26

15

 4 

26

3,525,120

0.04448934

22.5

5

0.2224

Nothing

14

30

00

21

 9 

 1 

00

 3 

 2 

 0 

74,388,720

0.93883463

1.1

Total

0.8703

House Edge

13.0%

Hit Rate

6.1%

 


  The Pay columns shown are X for 1. As a courtesy to players, it is recommended that the chips bet be returned to the original betting oval after any win. As such, the table printing should use to 1 terminology, and / or payouts adjusted.
 
  Additional pay tables, as well as progressive pay tables, are available upon
request.