The following were the pay tables at the Santa Fe Station at the 25¢ and $1 denominations. The best pay table is the 9-6 Triple Double Bonus at the $1 denomination.

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2nd Chance Royal

Last Update: Jul 16, 2010

Introduction

The first I heard of 2nd Chance Royal was in 2006, when the inventors approached me and hired to me do a math analysis of the game. At some point after that, they partnered with IGT to market the game. Four years and two months later, it made its debut at the Santa Fe Station in Las Vegas. This should give other game inventors an idea of how long it takes to get a game into a casino, if they are lucky enough to ever get that far.

The thrust of 2nd Chance Royal is that if the player makes a max 5-coin bet and has four to a royal after the draw, then he gets a second draw. This is free -- no additional bet required. Of course, nothing is truly free in Vegas, so the casino may depress the pay table a bit to pay for this feature. The player will be paid for all wins on both the first and second draw. However, a royal on the second draw pays 200 times the players bet, not the normal 800.

Strategy

Sorry, you're on your own when it comes to strategy. The 2nd Chance feature is worth about 1.5%, so the player should obviously be more inclined to go for royals than conventional video poker.

Return

I'm happy to report that my 2006 math agreed exactly with that of IGT's mathematicians. The following table was kindly provided by IGT, showing the expected return of all available games and pay tables, assuming optimal strategy. In 2006, I analyzed six of these.

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2nd Chance Royal Return Summary

Return

99.96%

98.82%

97.67%

96.52%

99.51%

98.37%

99.37%

97.95%

95.69%

99.37%

98.28%

97.22%

96.17%

99.06%

98.54%

98.31%

97.46%

96.38%

100.08%

98.90%

97.77%

96.88%

99.30%

100.08%

99.17%

99.70%

98.53%

97.48%

96.43%

99.07%

97.84%

96.97%

25¢ Santa Fe Station Pay Tables
Game	Pay Table	Return
Bonus Poker Deluxe	7-5	97.77%
Bonus Poker	6-5	98.37%
Bonus Deuces	25-12-4-3-2	97.84%
Deuces Wild	25-16-13-4-3-2	98.31%
Double Bonus	9-6-4	97.95%
Double Double Bonus	8-5	98.28%
Super Double Double Bonus	6-5	99.17%
Triple Double Bonus	9-5	98.53%

25¢ Santa Fe Station Pay Tables

Game

Pay Table

Return

Bonus Poker Deluxe

7-5

97.77%

Bonus Poker

6-5

98.37%

Bonus Deuces

25-12-4-3-2

97.84%

Deuces Wild

25-16-13-4-3-2

98.31%

Double Bonus

9-6-4

97.95%

Double Double Bonus

8-5

98.28%

Super Double Double Bonus

6-5

99.17%

Triple Double Bonus

9-5

98.53%

$1 Santa Fe Station Pay Tables
Game	Pay Table	Return
Bonus Poker Deluxe	8-5	98.90%
Bonus Poker	7-5	99.51%
Bonus Deuces	25-10-4-3-3	99.07%
Deuces Wild	20-12-10-4-4-3-2	99.06%
Double Bonus	9-6-4	97.95%
Double Double Bonus	9-5	99.37%
Super Double Double Bonus	6-5	99.17%
Triple Double Bonus	9-6	99.70%

$1 Santa Fe Station Pay Tables

Game

Pay Table

Return

Bonus Poker Deluxe

8-5

98.90%

Bonus Poker

7-5

99.51%

Bonus Deuces

25-10-4-3-3

99.07%

Deuces Wild

20-12-10-4-4-3-2

99.06%

Double Bonus

9-6-4

97.95%

Double Double Bonus

9-5

99.37%

Super Double Double Bonus

6-5

99.17%

Triple Double Bonus

9-6

99.70%

The following six return tables I did in 2006. The top rows are for hands with four to a royal after the first draw. The "event" is what the player had on the first and second draws respectively. For example, if the player had 2h Th Jh Qh Kh after the first draw, and Ks Th Jh Qh Kh after the second draw, then the event would be indicated as "Flush -> Pair." The lower rows are for hands where the player did not have four to a royal after the first draw.

7-5 Jacks or Better — 2nd Chance Royal
Event	Pays	Combinations	Probability	Return
St flush-> Royal	250	714,320,808	0.000000	0.000107
St flush-> Str flush	100	0	0.000000	0.000000
St flush-> Flush	55	4,861,484,064	0.000003	0.000160
St flush-> Straight	54	4,102,696,740	0.000002	0.000132
St flush-> Pair	51	6,259,051,032	0.000004	0.000191
St flush-> Nothing	50	16,349,344,572	0.000010	0.000488
Flush -> Royal	205	16,822,740,960	0.000010	0.002060
Flush -> Str flush	55	2,870,195,688	0.000002	0.000094
Flush -> Flush	10	109,706,174,952	0.000066	0.000655
Flush -> Straight	9	56,284,754,832	0.000034	0.000303
Flush -> Pair	6	156,852,688,692	0.000094	0.000562
Flush -> Nothing	5	409,556,271,564	0.000245	0.001223
Straight-> Royal	204	8,144,383,692	0.000005	0.000992
Straight-> Str flush	54	2,526,112,752	0.000002	0.000081
Straight-> Flush	9	59,511,381,732	0.000036	0.000320
Straight-> Straight	8	22,806,715,944	0.000014	0.000109
Straight-> Pair	5	74,815,496,388	0.000045	0.000223
Straight-> Nothing	4	195,514,505,412	0.000117	0.000467
Pair -> Royal	201	24,401,319,480	0.000015	0.002929
Pair -> Str flush	51	4,354,973,892	0.000003	0.000133
Pair -> Flush	6	182,197,551,480	0.000109	0.000653
Pair -> Straight	5	82,623,134,268	0.000049	0.000247
Pair -> Pair	2	209,171,193,168	0.000125	0.000250
Pair -> Nothing	1	590,728,815,504	0.000353	0.000353
Nothing -> Royal	200	53,595,021,636	0.000032	0.006402
Nothing -> Str flush	50	9,579,586,080	0.000006	0.000286
Nothing -> Flush	5	400,318,657,416	0.000239	0.001195
Nothing -> Straight	4	180,484,232,028	0.000108	0.000431
Nothing -> Pair	1	496,813,605,192	0.000297	0.000297
Nothing -> Nothing	0	1,255,382,291,808	0.000750	0.000000
Royal Flush	800	50,974,846,272	0.000030	0.024355
Straight Flush	50	148,341,682,944	0.000089	0.004430
Four of a kind	25	3,934,692,381,312	0.002350	0.058748
Full House	7	19,205,184,535,488	0.011470	0.080290
Flush	5	17,966,298,283,920	0.010730	0.053650
Straight	4	18,444,057,812,208	0.011015	0.044062
Three of a kind	3	123,903,222,310,224	0.073999	0.221997
Two pair	2	215,599,195,914,480	0.128763	0.257525
Pair	1	352,111,195,951,200	0.210292	0.210292
Nonpaying hand	0	918,390,851,024,976	0.548492	0.000000
Total	0	1,674,391,363,444,800	1.000000	0.976691

7-5 Jacks or Better — 2nd Chance Royal

Event

Pays

Combinations

Probability

Return

St flush-> Royal

250

714,320,808

0.000000

0.000107

St flush-> Str flush

100

0.000000

St flush-> Flush

4,861,484,064

0.000003

0.000160

St flush-> Straight

4,102,696,740

0.000002

0.000132

St flush-> Pair

6,259,051,032

0.000004

0.000191

St flush-> Nothing

16,349,344,572

0.000010

0.000488

Flush -> Royal

205

16,822,740,960

0.000010

0.002060

Flush -> Str flush

2,870,195,688

0.000002

0.000094

Flush -> Flush

109,706,174,952

0.000066

0.000655

Flush -> Straight

56,284,754,832

0.000034

0.000303

Flush -> Pair

156,852,688,692

0.000094

0.000562

Flush -> Nothing

409,556,271,564

0.000245

0.001223

Straight-> Royal

204

8,144,383,692

0.000005

0.000992

Straight-> Str flush

2,526,112,752

0.000002

0.000081

Straight-> Flush

59,511,381,732

0.000036

0.000320

Straight-> Straight

22,806,715,944

0.000014

0.000109

Straight-> Pair

74,815,496,388

0.000045

0.000223

Straight-> Nothing

195,514,505,412

0.000117

0.000467

Pair -> Royal

201

24,401,319,480

0.000015

0.002929

Pair -> Str flush

4,354,973,892

0.000003

0.000133

Pair -> Flush

182,197,551,480

0.000109

0.000653

Pair -> Straight

82,623,134,268

0.000049

0.000247

Pair -> Pair

209,171,193,168

0.000125

0.000250

Pair -> Nothing

590,728,815,504

0.000353

Nothing -> Royal

200

53,595,021,636

0.000032

0.006402

Nothing -> Str flush

9,579,586,080

0.000006

0.000286

Nothing -> Flush

400,318,657,416

0.000239

0.001195

Nothing -> Straight

180,484,232,028

0.000108

0.000431

Nothing -> Pair

496,813,605,192

0.000297

Nothing -> Nothing

1,255,382,291,808

0.000750

0.000000

Royal Flush

800

50,974,846,272

0.000030

0.024355

Straight Flush

148,341,682,944

0.000089

0.004430

Four of a kind

3,934,692,381,312

0.002350

0.058748

Full House

19,205,184,535,488

0.011470

0.080290

Flush

17,966,298,283,920

0.010730

0.053650

Straight

18,444,057,812,208

0.011015

0.044062

Three of a kind

123,903,222,310,224

0.073999

0.221997

Two pair

215,599,195,914,480

0.128763

0.257525

Pair

352,111,195,951,200

0.210292

Nonpaying hand

918,390,851,024,976

0.548492

0.000000

Total

1,674,391,363,444,800

1.000000

0.976691

6-5 Bonus Poker — 2nd Chance Royal
Event	Pays	Combinations	Probability	Return
St flush-> Royal	250	714,803,808	0.000000	0.000107
St flush-> Str flush	100	0	0.000000	0.000000
St flush-> Flush	55	4,865,017,776	0.000003	0.000160
St flush-> Straight	54	4,105,110,732	0.000002	0.000132
St flush-> Pair	51	6,262,914,024	0.000004	0.000191
St flush-> Nothing	50	16,360,939,596	0.000010	0.000489
Flush -> Royal	205	16,827,666,384	0.000010	0.002060
Flush -> Str flush	55	2,869,120,488	0.000002	0.000094
Flush -> Flush	10	109,744,994,040	0.000066	0.000655
Flush -> Straight	9	56,294,928,744	0.000034	0.000303
Flush -> Pair	6	156,899,699,460	0.000094	0.000562
Flush -> Nothing	5	409,671,317,124	0.000245	0.001223
Straight-> Royal	204	8,145,000,840	0.000005	0.000992
Straight-> Str flush	54	2,525,763,984	0.000002	0.000081
Straight-> Flush	9	59,518,046,628	0.000036	0.000320
Straight-> Straight	8	22,806,939,720	0.000014	0.000109
Straight-> Pair	5	74,822,403,708	0.000045	0.000223
Straight-> Nothing	4	195,526,360,752	0.000117	0.000467
Pair -> Royal	201	24,405,334,848	0.000015	0.002930
Pair -> Str flush	51	4,352,967,972	0.000003	0.000133
Pair -> Flush	6	182,234,779,944	0.000109	0.000653
Pair -> Straight	5	82,628,421,732	0.000049	0.000247
Pair -> Pair	2	209,206,496,856	0.000125	0.000250
Pair -> Nothing	1	590,822,102,376	0.000353	0.000353
Nothing -> Royal	200	53,604,894,744	0.000032	0.006403
Nothing -> Str flush	50	9,575,924,016	0.000006	0.000286
Nothing -> Flush	5	400,413,678,048	0.000239	0.001196
Nothing -> Straight	4	180,500,942,400	0.000108	0.000431
Nothing -> Pair	1	496,908,758,880	0.000297	0.000297
Nothing -> Nothing	0	1,255,595,961,096	0.000750	0.000000
Royal Flush	800	50,979,917,520	0.000030	0.024357
Straight Flush	50	147,300,776,784	0.000088	0.004399
Four A	80	329,176,528,128	0.000197	0.015728
Four 2-4	40	882,720,584,928	0.000527	0.021088
Four 5-K	25	2,730,865,834,368	0.001631	0.040774
Full House	6	19,032,059,150,496	0.011367	0.068199
Flush	5	17,947,143,920,160	0.010719	0.053593
Straight	4	18,431,099,993,376	0.011008	0.044031
Three of a kind	3	124,077,856,066,416	0.074103	0.222310
Two pair	2	215,613,096,595,344	0.128771	0.257542
Pair		352,229,647,908,096	0.210363	0.210363
Nonpaying hand		918,281,204,878,464	0.548427	0.000000
0		1,674,391,363,444,800	1.000000	0.983730

6-5 Bonus Poker — 2nd Chance Royal

Event

Pays

Combinations

Probability

Return

St flush-> Royal

250

714,803,808

0.000000

0.000107

St flush-> Str flush

100

0.000000

St flush-> Flush

4,865,017,776

0.000003

0.000160

St flush-> Straight

4,105,110,732

0.000002

0.000132

St flush-> Pair

6,262,914,024

0.000004

0.000191

St flush-> Nothing

16,360,939,596

0.000010

0.000489

Flush -> Royal

205

16,827,666,384

0.000010

0.002060

Flush -> Str flush

2,869,120,488

0.000002

0.000094

Flush -> Flush

109,744,994,040

0.000066

0.000655

Flush -> Straight

56,294,928,744

0.000034

0.000303

Flush -> Pair

156,899,699,460

0.000094

0.000562

Flush -> Nothing

409,671,317,124

0.000245

0.001223

Straight-> Royal

204

8,145,000,840

0.000005

0.000992

Straight-> Str flush

2,525,763,984

0.000002

0.000081

Straight-> Flush

59,518,046,628

0.000036

0.000320

Straight-> Straight

22,806,939,720

0.000014

0.000109

Straight-> Pair

74,822,403,708

0.000045

0.000223

Straight-> Nothing

195,526,360,752

0.000117

0.000467

Pair -> Royal

201

24,405,334,848

0.000015

0.002930

Pair -> Str flush

4,352,967,972

0.000003

0.000133

Pair -> Flush

182,234,779,944

0.000109

0.000653

Pair -> Straight

82,628,421,732

0.000049

0.000247

Pair -> Pair

209,206,496,856

0.000125

0.000250

Pair -> Nothing

590,822,102,376

0.000353

Nothing -> Royal

200

53,604,894,744

0.000032

0.006403

Nothing -> Str flush

9,575,924,016

0.000006

0.000286

Nothing -> Flush

400,413,678,048

0.000239

0.001196

Nothing -> Straight

180,500,942,400

0.000108

0.000431

Nothing -> Pair

496,908,758,880

0.000297

Nothing -> Nothing

1,255,595,961,096

0.000750

0.000000

Royal Flush

800

50,979,917,520

0.000030

0.024357

Straight Flush

147,300,776,784

0.000088

0.004399

Four A

329,176,528,128

0.000197

0.015728

Four 2-4

882,720,584,928

0.000527

0.021088

Four 5-K

2,730,865,834,368

0.001631

0.040774

Full House

19,032,059,150,496

0.011367

0.068199

Flush

17,947,143,920,160

0.010719

0.053593

Straight

18,431,099,993,376

0.011008

0.044031

Three of a kind

124,077,856,066,416

0.074103

0.222310

Two pair

215,613,096,595,344

0.128771

0.257542

Pair

352,229,647,908,096

0.210363

Nonpaying hand

918,281,204,878,464

0.548427

0.000000

1,674,391,363,444,800

1.000000

0.983730

7-5 Bonus Poker — 2nd Chance Royal
Event	Pays	Combinations	Probability	Return
St flush-> Royal	250	714,180,192	0.000000	0.000107
St flush-> Str flush	100	0	0.000000	0.000000
St flush-> Flush	55	4,860,650,448	0.000003	0.000160
St flush-> Straight	54	4,102,002,732	0.000002	0.000132
St flush-> Pair	51	6,257,937,192	0.000004	0.000191
St flush-> Nothing	50	16,345,928,460	0.000010	0.000488
Flush -> Royal	205	16,827,672,096	0.000010	0.002060
Flush -> Str flush	55	2,869,203,144	0.000002	0.000094
Flush -> Flush	10	109,743,986,712	0.000066	0.000655
Flush -> Straight	9	56,296,054,344	0.000034	0.000303
Flush -> Pair	6	156,899,731,716	0.000094	0.000562
Flush -> Nothing	5	409,669,691,220	0.000245	0.001223
Straight-> Royal	204	8,146,414,056	0.000005	0.000993
Straight-> Str flush	54	2,525,834,544	0.000002	0.000081
Straight-> Flush	9	59,528,795,940	0.000036	0.000320
Straight-> Straight	8	22,810,298,376	0.000014	0.000109
Straight-> Pair	5	74,835,033,948	0.000045	0.000223
Straight-> Nothing	4	195,560,120,688	0.000117	0.000467
Pair -> Royal	201	24,409,387,008	0.000015	0.002930
Pair -> Str flush	51	4,353,883,236	0.000003	0.000133
Pair -> Flush	6	182,265,036,072	0.000109	0.000653
Pair -> Straight	5	82,643,565,924	0.000049	0.000247
Pair -> Pair	2	209,241,603,480	0.000125	0.000250
Pair -> Nothing	1	590,914,685,160	0.000353	0.000353
Nothing -> Royal	200	53,609,203,944	0.000032	0.006403
Nothing -> Str flush	50	9,576,169,968	0.000006	0.000286
Nothing -> Flush	5	400,444,473,456	0.000239	0.001196
Nothing -> Straight	4	180,515,306,400	0.000108	0.000431
Nothing -> Pair	1	496,947,127,392	0.000297	0.000297
Nothing -> Nothing	0	1,255,696,424,424	0.000750	0.000000
Royal Flush	800	50,982,344,784	0.000030	0.024359
Straight Flush	50	146,615,161,392	0.000088	0.004378
Four A	80	321,281,505,216	0.000192	0.015350
Four 2-4	40	882,721,798,560	0.000527	0.021088
Four 5-K	25	2,730,929,289,984	0.001631	0.040775
Full House	7	19,206,597,463,200	0.011471	0.080296
Flush	5	17,931,593,479,968	0.010709	0.053547
Straight	4	18,423,450,124,128	0.011003	0.044012
Three of a kind	3	123,915,851,971,632	0.074007	0.222020
Two pair	2	215,621,230,877,136	0.128776	0.257552
Pair	1	352,335,346,586,496	0.210426	0.210426
Nonpaying hand	0	918,186,152,440,032	0.548370	0.000000
Total		1,674,391,363,444,800	1.000000	0.995149

7-5 Bonus Poker — 2nd Chance Royal

Event

Pays

Combinations

Probability

Return

St flush-> Royal

250

714,180,192

0.000000

0.000107

St flush-> Str flush

100

0.000000

St flush-> Flush

4,860,650,448

0.000003

0.000160

St flush-> Straight

4,102,002,732

0.000002

0.000132

St flush-> Pair

6,257,937,192

0.000004

0.000191

St flush-> Nothing

16,345,928,460

0.000010

0.000488

Flush -> Royal

205

16,827,672,096

0.000010

0.002060

Flush -> Str flush

2,869,203,144

0.000002

0.000094

Flush -> Flush

109,743,986,712

0.000066

0.000655

Flush -> Straight

56,296,054,344

0.000034

0.000303

Flush -> Pair

156,899,731,716

0.000094

0.000562

Flush -> Nothing

409,669,691,220

0.000245

0.001223

Straight-> Royal

204

8,146,414,056

0.000005

0.000993

Straight-> Str flush

2,525,834,544

0.000002

0.000081

Straight-> Flush

59,528,795,940

0.000036

0.000320

Straight-> Straight

22,810,298,376

0.000014

0.000109

Straight-> Pair

74,835,033,948

0.000045

0.000223

Straight-> Nothing

195,560,120,688

0.000117

0.000467

Pair -> Royal

201

24,409,387,008

0.000015

0.002930

Pair -> Str flush

4,353,883,236

0.000003

0.000133

Pair -> Flush

182,265,036,072

0.000109

0.000653

Pair -> Straight

82,643,565,924

0.000049

0.000247

Pair -> Pair

209,241,603,480

0.000125

0.000250

Pair -> Nothing

590,914,685,160

0.000353

Nothing -> Royal

200

53,609,203,944

0.000032

0.006403

Nothing -> Str flush

9,576,169,968

0.000006

0.000286

Nothing -> Flush

400,444,473,456

0.000239

0.001196

Nothing -> Straight

180,515,306,400

0.000108

0.000431

Nothing -> Pair

496,947,127,392

0.000297

Nothing -> Nothing

1,255,696,424,424

0.000750

0.000000

Royal Flush

800

50,982,344,784

0.000030

0.024359

Straight Flush

146,615,161,392

0.000088

0.004378

Four A

321,281,505,216

0.000192

0.015350

Four 2-4

882,721,798,560

0.000527

0.021088

Four 5-K

2,730,929,289,984

0.001631

0.040775

Full House

19,206,597,463,200

0.011471

0.080296

Flush

17,931,593,479,968

0.010709

0.053547

Straight

18,423,450,124,128

0.011003

0.044012

Three of a kind

123,915,851,971,632

0.074007

0.222020

Two pair

215,621,230,877,136

0.128776

0.257552

Pair

352,335,346,586,496

0.210426

Nonpaying hand

918,186,152,440,032

0.548370

0.000000

Total

1,674,391,363,444,800

1.000000

0.995149

7-5 Bonus Poker Deluxe — 2nd Chance Royal
Event	Pays	Combinations	Probability	Return
St flush-> Royal	250	747,271,788	0.000000	0.000112
St flush-> Str flush	100	0	0.000000	0.000000
St flush-> Flush	55	5,096,461,080	0.000003	0.000167
St flush-> Straight	54	4,304,213,796	0.000003	0.000139
St flush-> Pair	51	6,546,204,204	0.000004	0.000199
St flush-> Nothing	50	17,083,472,508	0.000010	0.000510
Flush -> Royal	205	16,908,482,220	0.000010	0.002070
Flush -> Str flush	55	2,880,130,656	0.000002	0.000095
Flush -> Flush	10	110,445,021,144	0.000066	0.000660
Flush -> Straight	9	56,599,312,632	0.000034	0.000304
Flush -> Pair	6	157,484,976,240	0.000094	0.000564
Flush -> Nothing	5	411,884,915,940	0.000246	0.001230
Straight-> Royal	204	8,111,467,848	0.000005	0.000988
Straight-> Str flush	54	2,518,077,696	0.000002	0.000081
Straight-> Flush	9	59,340,646,500	0.000035	0.000319
Straight-> Straight	8	22,715,385,312	0.000014	0.000109
Straight-> Pair	5	74,417,791,104	0.000044	0.000222
Straight-> Nothing	4	194,894,605,332	0.000116	0.000466
Pair -> Royal	201	24,633,332,856	0.000015	0.002957
Pair -> Str flush	51	4,413,612,960	0.000003	0.000134
Pair -> Flush	6	184,121,115,252	0.000110	0.000660
Pair -> Straight	5	83,557,337,688	0.000050	0.000250
Pair -> Pair	2	210,999,016,272	0.000126	0.000252
Pair -> Nothing	1	596,981,959,884	0.000357	0.000357
Nothing -> Royal	200	53,504,847,336	0.000032	0.006391
Nothing -> Str flush	50	9,561,348,864	0.000006	0.000286
Nothing -> Flush	5	400,152,291,120	0.000239	0.001195
Nothing -> Straight	4	180,361,028,484	0.000108	0.000431
Nothing -> Pair	1	495,285,250,140	0.000296	0.000296
Nothing -> Nothing	0	1,254,128,344,872	0.000749	0.000000
Royal Flush	800	51,147,204,192	0.000031	0.024437
Straight Flush	50	150,843,716,352	0.000090	0.004504
Four of a kind	80	4,041,340,553,376	0.002414	0.193089
Full House	7	16,076,668,888,224	0.009602	0.067211
Flush	5	18,046,806,856,848	0.010778	0.053891
Straight	4	21,115,325,908,656	0.012611	0.050443
Three of a kind	3	127,897,042,056,336	0.076384	0.229153
Two pair	1	182,950,375,314,672	0.109264	0.109264
Pair	1	375,449,316,387,264	0.224230	0.224230
Nonpaying hand	0	923,962,818,637,152	0.551820	0.000000
Total		1,674,391,363,444,800	1.000000	0.977665

7-5 Bonus Poker Deluxe — 2nd Chance Royal

Event

Pays

Combinations

Probability

Return

St flush-> Royal

250

747,271,788

0.000000

0.000112

St flush-> Str flush

100

0.000000

St flush-> Flush

5,096,461,080

0.000003

0.000167

St flush-> Straight

4,304,213,796

0.000003

0.000139

St flush-> Pair

6,546,204,204

0.000004

0.000199

St flush-> Nothing

17,083,472,508

0.000010

0.000510

Flush -> Royal

205

16,908,482,220

0.000010

0.002070

Flush -> Str flush

2,880,130,656

0.000002

0.000095

Flush -> Flush

110,445,021,144

0.000066

0.000660

Flush -> Straight

56,599,312,632

0.000034

0.000304

Flush -> Pair

157,484,976,240

0.000094

0.000564

Flush -> Nothing

411,884,915,940

0.000246

0.001230

Straight-> Royal

204

8,111,467,848

0.000005

0.000988

Straight-> Str flush

2,518,077,696

0.000002

0.000081

Straight-> Flush

59,340,646,500

0.000035

0.000319

Straight-> Straight

22,715,385,312

0.000014

0.000109

Straight-> Pair

74,417,791,104

0.000044

0.000222

Straight-> Nothing

194,894,605,332

0.000116

0.000466

Pair -> Royal

201

24,633,332,856

0.000015

0.002957

Pair -> Str flush

4,413,612,960

0.000003

0.000134

Pair -> Flush

184,121,115,252

0.000110

0.000660

Pair -> Straight

83,557,337,688

0.000050

0.000250

Pair -> Pair

210,999,016,272

0.000126

0.000252

Pair -> Nothing

596,981,959,884

0.000357

Nothing -> Royal

200

53,504,847,336

0.000032

0.006391

Nothing -> Str flush

9,561,348,864

0.000006

0.000286

Nothing -> Flush

400,152,291,120

0.000239

0.001195

Nothing -> Straight

180,361,028,484

0.000108

0.000431

Nothing -> Pair

495,285,250,140

0.000296

Nothing -> Nothing

1,254,128,344,872

0.000749

0.000000

Royal Flush

800

51,147,204,192

0.000031

0.024437

Straight Flush

150,843,716,352

0.000090

0.004504

Four of a kind

4,041,340,553,376

0.002414

0.193089

Full House

16,076,668,888,224

0.009602

0.067211

Flush

18,046,806,856,848

0.010778

0.053891

Straight

21,115,325,908,656

0.012611

0.050443

Three of a kind

127,897,042,056,336

0.076384

0.229153

Two pair

182,950,375,314,672

0.109264

Pair

375,449,316,387,264

0.224230

Nonpaying hand

923,962,818,637,152

0.551820

0.000000

Total

1,674,391,363,444,800

1.000000

0.977665

9-6-4 Double Bonus — 2nd Chance Royal
Event	Pays	Combinations	Probability	Return
St flush-> Royal	250	748,246,440	0.000000	0.000112
St flush-> Str flush	100	0	0.000000	0.000000
St flush-> Flush	56	5,103,772,272	0.000003	0.000171
St flush-> Straight	54	4,308,802,296	0.000003	0.000139
St flush-> Pair	51	6,551,208,756	0.000004	0.000200
St flush-> Nothing	50	17,110,281,276	0.000010	0.000511
Flush -> Royal	206	17,313,845,220	0.000010	0.002130
Flush -> Str flush	56	2,907,466,776	0.000002	0.000097
Flush -> Flush	12	113,052,479,424	0.000068	0.000810
Flush -> Straight	10	57,741,508,428	0.000034	0.000345
Flush -> Pair	7	161,200,537,404	0.000096	0.000674
Flush -> Nothing	6	421,466,856,588	0.000252	0.001510
Straight-> Royal	204	7,991,440,500	0.000005	0.000974
Straight-> Str flush	54	2,428,345,284	0.000001	0.000078
Straight-> Flush	10	58,542,640,368	0.000035	0.000350
Straight-> Straight	8	22,168,798,320	0.000013	0.000106
Straight-> Pair	5	73,317,157,164	0.000044	0.000219
Straight-> Nothing	4	192,077,195,436	0.000115	0.000459
Pair -> Royal	201	24,085,774,404	0.000014	0.002891
Pair -> Str flush	51	4,317,151,140	0.000003	0.000131
Pair -> Flush	7	180,157,577,604	0.000108	0.000753
Pair -> Straight	5	81,527,146,560	0.000049	0.000243
Pair -> Pair	2	205,810,243,032	0.000123	0.000246
Pair -> Nothing	1	584,064,432,828	0.000349	0.000349
Nothing -> Royal	200	54,536,327,436	0.000033	0.006514
Nothing -> Str flush	50	9,561,078,468	0.000006	0.000286
Nothing -> Flush	6	407,683,681,308	0.000243	0.001461
Nothing -> Straight	4	182,987,799,372	0.000109	0.000437
Nothing -> Pair	1	504,605,660,904	0.000301	0.000301
Nothing -> Nothing	0	1,277,540,468,880	0.000763	0.000000
Royal Flush	800	51,492,395,808	0.000031	0.024602
Straight Flush	50	153,799,733,808	0.000092	0.004593
Four A	160	378,848,925,504	0.000226	0.036202
Four 2-4	80	882,842,208,192	0.000527	0.042181
Four 5-K	50	2,721,183,304,896	0.001625	0.081259
Full House	9	18,072,340,816,320	0.010793	0.097140
Flush	6	18,325,035,200,304	0.010944	0.065666
Straight	4	20,940,967,776,960	0.012507	0.050026
Three of a kind	3	125,240,622,359,328	0.074798	0.224393
Two pair	1	204,900,815,046,816	0.122373	0.122373
Pair	1	349,285,753,210,464	0.208605	0.208605
Nonpaying hand	0	928,756,754,542,512	0.554683	0.000000
Total		1,674,391,363,444,800	1.000000	0.979537

9-6-4 Double Bonus — 2nd Chance Royal

Event

Pays

Combinations

Probability

Return

St flush-> Royal

250

748,246,440

0.000000

0.000112

St flush-> Str flush

100

0.000000

St flush-> Flush

5,103,772,272

0.000003

0.000171

St flush-> Straight

4,308,802,296

0.000003

0.000139

St flush-> Pair

6,551,208,756

0.000004

0.000200

St flush-> Nothing

17,110,281,276

0.000010

0.000511

Flush -> Royal

206

17,313,845,220

0.000010

0.002130

Flush -> Str flush

2,907,466,776

0.000002

0.000097

Flush -> Flush

113,052,479,424

0.000068

0.000810

Flush -> Straight

57,741,508,428

0.000034

0.000345

Flush -> Pair

161,200,537,404

0.000096

0.000674

Flush -> Nothing

421,466,856,588

0.000252

0.001510

Straight-> Royal

204

7,991,440,500

0.000005

0.000974

Straight-> Str flush

2,428,345,284

0.000001

0.000078

Straight-> Flush

58,542,640,368

0.000035

0.000350

Straight-> Straight

22,168,798,320

0.000013

0.000106

Straight-> Pair

73,317,157,164

0.000044

0.000219

Straight-> Nothing

192,077,195,436

0.000115

0.000459

Pair -> Royal

201

24,085,774,404

0.000014

0.002891

Pair -> Str flush

4,317,151,140

0.000003

0.000131

Pair -> Flush

180,157,577,604

0.000108

0.000753

Pair -> Straight

81,527,146,560

0.000049

0.000243

Pair -> Pair

205,810,243,032

0.000123

0.000246

Pair -> Nothing

584,064,432,828

0.000349

Nothing -> Royal

200

54,536,327,436

0.000033

0.006514

Nothing -> Str flush

9,561,078,468

0.000006

0.000286

Nothing -> Flush

407,683,681,308

0.000243

0.001461

Nothing -> Straight

182,987,799,372

0.000109

0.000437

Nothing -> Pair

504,605,660,904

0.000301

Nothing -> Nothing

1,277,540,468,880

0.000763

0.000000

Royal Flush

800

51,492,395,808

0.000031

0.024602

Straight Flush

153,799,733,808

0.000092

0.004593

Four A

160

378,848,925,504

0.000226

0.036202

Four 2-4

882,842,208,192

0.000527

0.042181

Four 5-K

2,721,183,304,896

0.001625

0.081259

Full House

18,072,340,816,320

0.010793

0.097140

Flush

18,325,035,200,304

0.010944

0.065666

Straight

20,940,967,776,960

0.012507

0.050026

Three of a kind

125,240,622,359,328

0.074798

0.224393

Two pair

204,900,815,046,816

0.122373

Pair

349,285,753,210,464

0.208605

Nonpaying hand

928,756,754,542,512

0.554683

0.000000

Total

1,674,391,363,444,800

1.000000

0.979537

7-5 Double Double Bonus — 2nd Chance Royal
Event	Pays	Combinations	Probability	Return
St flush-> Royal	250	743,391,912	0.000000	0.000111
St flush-> Str flush	100	0	0.000000	0.000000
St flush-> Flush	55	5,071,643,532	0.000003	0.000167
St flush-> Straight	54	4,285,486,836	0.000003	0.000138
St flush-> Pair	51	6,511,382,844	0.000004	0.000198
St flush-> Nothing	50	16,995,376,332	0.000010	0.000508
Flush -> Royal	205	16,462,823,748	0.000010	0.002016
Flush -> Str flush	55	2,863,418,436	0.000002	0.000094
Flush -> Flush	10	107,412,844,584	0.000064	0.000642
Flush -> Straight	9	55,182,128,304	0.000033	0.000297
Flush -> Pair	6	153,872,441,916	0.000092	0.000551
Flush -> Nothing	5	400,122,152,676	0.000239	0.001195
Straight-> Royal	204	7,640,388,540	0.000005	0.000931
Straight-> Str flush	54	2,403,196,356	0.000001	0.000078
Straight-> Flush	9	55,911,072,576	0.000033	0.000301
Straight-> Straight	8	21,437,225,688	0.000013	0.000102
Straight-> Pair	5	70,342,577,388	0.000042	0.000210
Straight-> Nothing	4	183,267,419,580	0.000109	0.000438
Pair -> Royal	201	23,070,035,400	0.000014	0.002769
Pair -> Str flush	51	4,268,389,140	0.000003	0.000130
Pair -> Flush	6	172,587,325,068	0.000103	0.000618
Pair -> Straight	5	78,519,005,424	0.000047	0.000234
Pair -> Pair	2	197,945,757,228	0.000118	0.000236
Pair -> Nothing	1	558,988,391,628	0.000334	0.000334
Nothing -> Royal	200	51,917,207,520	0.000031	0.006201
Nothing -> Str flush	50	9,472,873,428	0.000006	0.000283
Nothing -> Flush	5	387,788,400,756	0.000232	0.001158
Nothing -> Straight	4	175,243,426,092	0.000105	0.000419
Nothing -> Pair	1	482,344,863,156	0.000288	0.000288
Nothing -> Nothing	0	1,213,995,297,624	0.000725	0.000000
Royal Flush	800	49,390,211,808	0.000029	0.023598
Straight Flush	50	147,793,555,728	0.000088	0.004413
Four A + 2-4	400	102,390,364,944	0.000061	0.024460
Four 2-4 + A-4	160	245,545,316,352	0.000147	0.023464
Four A	160	289,047,565,296	0.000173	0.027621
Four 2-4	80	661,410,285,984	0.000395	0.031601
Four 5-K	50	2,719,373,649,552	0.001624	0.081205
Full House	7	17,588,592,259,056	0.010504	0.073531
Flush	5	18,083,246,981,184	0.010800	0.053999
Straight	4	20,929,476,155,616	0.012500	0.049999
Three of a kind	3	126,137,734,929,360	0.075333	0.226000
Two pair	1	205,357,562,459,280	0.122646	0.122646
Pair	1	349,901,722,206,288	0.208972	0.208972
Nonpaying hand	0	927,711,411,560,640	0.554059	0.000000
Total		1,674,391,363,444,800	1.000000	0.972157

7-5 Double Double Bonus — 2nd Chance Royal

Event

Pays

Combinations

Probability

Return

St flush-> Royal

250

743,391,912

0.000000

0.000111

St flush-> Str flush

100

0.000000

St flush-> Flush

5,071,643,532

0.000003

0.000167

St flush-> Straight

4,285,486,836

0.000003

0.000138

St flush-> Pair

6,511,382,844

0.000004

0.000198

St flush-> Nothing

16,995,376,332

0.000010

0.000508

Flush -> Royal

205

16,462,823,748

0.000010

0.002016

Flush -> Str flush

2,863,418,436

0.000002

0.000094

Flush -> Flush

107,412,844,584

0.000064

0.000642

Flush -> Straight

55,182,128,304

0.000033

0.000297

Flush -> Pair

153,872,441,916

0.000092

0.000551

Flush -> Nothing

400,122,152,676

0.000239

0.001195

Straight-> Royal

204

7,640,388,540

0.000005

0.000931

Straight-> Str flush

2,403,196,356

0.000001

0.000078

Straight-> Flush

55,911,072,576

0.000033

0.000301

Straight-> Straight

21,437,225,688

0.000013

0.000102

Straight-> Pair

70,342,577,388

0.000042

0.000210

Straight-> Nothing

183,267,419,580

0.000109

0.000438

Pair -> Royal

201

23,070,035,400

0.000014

0.002769

Pair -> Str flush

4,268,389,140

0.000003

0.000130

Pair -> Flush

172,587,325,068

0.000103

0.000618

Pair -> Straight

78,519,005,424

0.000047

0.000234

Pair -> Pair

197,945,757,228

0.000118

0.000236

Pair -> Nothing

558,988,391,628

0.000334

Nothing -> Royal

200

51,917,207,520

0.000031

0.006201

Nothing -> Str flush

9,472,873,428

0.000006

0.000283

Nothing -> Flush

387,788,400,756

0.000232

0.001158

Nothing -> Straight

175,243,426,092

0.000105

0.000419

Nothing -> Pair

482,344,863,156

0.000288

Nothing -> Nothing

1,213,995,297,624

0.000725

0.000000

Royal Flush

800

49,390,211,808

0.000029

0.023598

Straight Flush

147,793,555,728

0.000088

0.004413

Four A + 2-4

400

102,390,364,944

0.000061

0.024460

Four 2-4 + A-4

160

245,545,316,352

0.000147

0.023464

Four A

160

289,047,565,296

0.000173

0.027621

Four 2-4

661,410,285,984

0.000395

0.031601

Four 5-K

2,719,373,649,552

0.001624

0.081205

Full House

17,588,592,259,056

0.010504

0.073531

Flush

18,083,246,981,184

0.010800

0.053999

Straight

20,929,476,155,616

0.012500

0.049999

Three of a kind

126,137,734,929,360

0.075333

0.226000

Two pair

205,357,562,459,280

0.122646

Pair

349,901,722,206,288

0.208972

Nonpaying hand

927,711,411,560,640

0.554059

0.000000

Total

1,674,391,363,444,800

1.000000

0.972157

Acknowledgement

Vegas Royalty Enterprises: The game inventors, for letting me know about the Santa Fe placement and help with this page.

IGT: The game makers, for sharing the return summary table above and help with this page.

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