Jacks or Better Video Poker

Last Update: Apr 21, 2010

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Jacks or Better

"976-9-6" Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal flush	976	554,637,108	0.000028	0.027157
Straight flush	50	2,218,146,252	0.000111	0.005564
4 of a kind	25	46,944,834,792	0.002355	0.058878
Full house	9	228,938,634,648	0.011485	0.103367
Flush	6	221,687,899,200	0.011122	0.066729
Straight	4	225,414,163,536	0.011308	0.045234
3 of a kind	3	1,478,350,617,468	0.074165	0.222495
Two pair	2	2,569,778,781,732	0.128919	0.257839
Jacks or better	1	4,240,539,117,972	0.212737	0.212737
Nothing	0	10,918,803,684,492	0.547769	0.000000
Total		19,933,230,517,200	1.000000	1.000000

"90-9-6" Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal flush	800	500,790,444	0.000025	0.020099
Straight flush	90	2,378,594,904	0.000119	0.010740
4 of a kind	25	47,057,767,584	0.002361	0.059019
Full house	9	229,325,520,096	0.011505	0.103542
Flush	6	223,054,389,492	0.011190	0.067140
Straight	4	220,034,964,156	0.011039	0.044154
3 of a kind	3	1,482,730,554,984	0.074385	0.223155
Two pair	2	2,575,465,030,008	0.129205	0.258409
Jacks or better	1	4,259,815,156,080	0.213704	0.213704
Nothing	0	10,892,867,749,452	0.546468	0.000000
Total		19,933,230,517,200	1.000000	0.999962

"940-9-6" Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal Flush	940	523487220	0.000026	0.024686
Straight Flush	50	2210097684	0.000111	0.005544
4 of a Kind	25	47036519220	0.002360	0.058993
Full House	9	229274750340	0.011502	0.103519
Flush	6	220266691236	0.011050	0.066301
Straight	4	224836698648	0.011279	0.045118
3 of a Kind	3	1481912846688	0.074344	0.223032
Two Pair	2	2574414297144	0.129152	0.258304
Jacks or Better	1	4256413692336	0.213534	0.213534
Nothing	0	10896341436684	0.546642	0.000000
Total		19933230517200	1.000000	0.999030

"9-6" Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal flush	800	493512264	0.00002476	0.01980661
Straight flush	50	2178883296	0.00010931	0.00546545
Four of a kind	25	47093167764	0.00236255	0.05906364
Full house	9	229475482596	0.01151221	0.10360987
Flush	6	219554786160	0.01101451	0.06608707
Straight	4	223837565784	0.01122937	0.04491747
Three of a kind	3	1484003070324	0.07444870	0.22334610
Two pair	2	2576946164148	0.12927890	0.25855780
Pair	1	4277372890968	0.21458503	0.21458503
Nothing	0	10872274993896	0.54543467	0
Total		19933230517200	1	0.99543904

The standard deviation of Full Pay 9/6 Jacks or Better is 4.42.

"26-8-6" Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal flush	800	493,461,180	0.000025	0.019805
Straight flush	50	2,178,781,128	0.000109	0.005465
4 of a kind	26	47,093,065,596	0.002363	0.061426
Full house	8	229,474,563,084	0.011512	0.092097
Flush	6	219,546,510,552	0.011014	0.066085
Straight	4	223,901,471,868	0.011233	0.044930
3 of a kind	3	1,483,988,715,720	0.074448	0.223344
Two pair	2	2,576,909,843,424	0.129277	0.258554
Jacks or better	1	4,277,338,869,024	0.214583	0.214583
Nothing	0	10,872,305,235,624	0.545436	0.000000
Total		19,933,230,517,200	1.000000	0.986289

55-25-9-5
Hand	Payoff	Combinations	Probability	Return
Royal Flush	800	496119612	0.000025	0.019911
Straight Flush	55	2158824828	0.000108	0.005957
Four of a Kind	25	47098605372	0.002363	0.059070
Full House	9	229494792348	0.011513	0.103619
Flush	5	217594427340	0.010916	0.054581
Straight	4	224070585192	0.011241	0.044964
Three of a Kind	3	1484198029572	0.074458	0.223375
Two Pair	2	2577172159764	0.129290	0.258580
Jacks or Better	1	4285248732612	0.214980	0.214980
All Other	0	10865698240560	0.545105	0.000000
Total		19933230517200	1	0.985038

"9/5" Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal flush	800	496237776	0.000025	0.019916
Straight flush	50	2137447980	0.000107	0.005362
4 of a kind	25	47100799404	0.002363	0.059073
Full house	9	229510637676	0.011514	0.103626
Flush	5	217120426644	0.010892	0.054462
Straight	4	223861063908	0.011231	0.044922
3 of a kind	3	1484332642620	0.074465	0.223396
Two pair	2	2577431192796	0.129303	0.258606
Jacks or better	1	4288342040640	0.215135	0.215135
Nothing	0	10862898027756	0.544964	0.000000
Total		0	1.000000	0.984498

"8/6" Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal flush	800	493461180	0.000025	0.019805
Straight flush	50	2178781128	0.000109	0.005465
4 of a kind	25	47093065596	0.002363	0.059064
Full house	8	229474563084	0.011512	0.092097
Flush	6	219546510552	0.011014	0.066085
Straight	4	223901471868	0.011233	0.044930
3 of a kind	3	1483988715720	0.074448	0.223344
Two pair	2	2576909843424	0.129277	0.258554
Jacks or better	1	4277338869024	0.214583	0.214583
Nothing	0	10872305235624	0.545436	0.000000
Total		19933230517200	1.000000	0.983927

55-25-8-5
Hand	Payoff	Combinations	Probability	Return
Royal Flush	800	496084524	0.000025	0.019910
Straight Flush	55	2160592644	0.000108	0.005962
Four of a Kind	25	47098415484	0.002363	0.059070
Full House	8	229493269116	0.011513	0.092105
Flush	5	217640202732	0.010918	0.054592
Straight	4	224082276720	0.011242	0.044967
Three of a Kind	3	1484185384476	0.074458	0.223374
Two Pair	2	2577146757084	0.129289	0.258578
Jacks or Better	1	4285010359188	0.214968	0.214968
All Other	0	10865917175232	0.545116	0.000000
Total		19933230517200	1	0.973525

"8/5" Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal flush	800	496224876	0.00002489	0.01991548
Straight flush	50	2146096656	0.00010766	0.00538321
Four of a kind	25	47100003732	0.00236289	0.05907222
Full house	8	229504776948	0.01151368	0.09210942
Flush	5	217303355868	0.01090156	0.05450781
Straight	4	223952329860	0.01123512	0.04494050
Three of a kind	3	1484283075660	0.07446275	0.22338824
Two pair	2	2577335006268	0.12929841	0.25859682
Pair	1	4287052708344	0.21507064	0.21507064
Nothing	0	10864056938988	0.54502239	0
Total		19933230517200	1	0.97298434

"7/5" Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal Flush	800	496195464	0.000025	0.019914
Straight Flush	50	2148216384	0.000108	0.005389
4 of a Kind	25	47085010836	0.002362	0.059053
Full House	7	229449036564	0.011511	0.080576
Flush	5	217345878912	0.010904	0.054518
Straight	4	224882540088	0.011282	0.045127
3 of a Kind	3	1483660907628	0.074432	0.223295
Two Pair	2	2576458033308	0.129254	0.258509
Jacks or Better	1	4287450841560	0.215091	0.215091
Nothing	0	10864253856456	0.545032	0.000000
Total		19933230517200	1.000000	0.961472

"6/5" Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal Flush	800	496188240	0.000025	0.019914
Straight Flush	50	2152883604	0.000108	0.005400
4 of a Kind	25	47084328684	0.002362	0.059053
Full House	6	229444197516	0.011511	0.069064
Flush	5	217494726336	0.010911	0.054556
Straight	4	224915292156	0.011283	0.045134
3 of a Kind	3	1483619627628	0.074429	0.223288
Two Pair	2	2576379215340	0.129250	0.258501
Jacks or Better	1	4286678700708	0.215052	0.215052
Nothing	0	10864965356988	0.545068	0.000000
Total		19933230517200	1.000000	0.949961

Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal Flush	1000	584850156	0.000029	0.029340
Straight Flush	125	2767415496	0.000139	0.017354
4 of a Kind	30	46557578340	0.002336	0.070070
Full House	9	227393352180	0.011408	0.102670
Flush	6	230950967928	0.011586	0.069517
Straight	4	234429994332	0.011761	0.047043
3 of a Kind	2	1461920711760	0.073341	0.146682
Two Pair	2	2546047990440	0.127729	0.255458
Jacks or Better	1	4178517979140	0.209626	0.209626
Nothing	0	11004059677428	0.552046	0.000000
Total		19933230517200	1.000000	0.947760

Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal Flush	1000	583259868	0.000029	0.029261
Straight Flush	100	2605479636	0.000131	0.013071
4 of a Kind	30	46627381272	0.002339	0.070175
Full House	9	227648604168	0.011421	0.102785
Flush	6	230293442256	0.011553	0.069319
Straight	4	235552505568	0.011817	0.047268
3 of a Kind	2	1464439288980	0.073467	0.146934
Two Pair	2	2548996728588	0.127877	0.255753
Jacks or Better	1	4181746030488	0.209788	0.209788
Nothing	0	10994737796376	0.551578	0.000000
Total		19933230517200	1.000000	0.944355

Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal flush	1000	553557120	0.000028	0.027771
Straight flush	50	2182888488	0.000110	0.005476
4 of a kind	25	46926826392	0.002354	0.058855
Full house	6	228885971688	0.011483	0.068896
Flush	5	220272599952	0.011051	0.055253
Straight	4	226192098552	0.011347	0.045390
3 of a kind	3	1477676746236	0.074131	0.222394
Two pair	2	2568945722436	0.128878	0.257755
Jacks or better	1	4252314431988	0.213328	0.213328
Nothing	0	10909279674348	0.547291	0.000000
Total		19933230517200	1.000000	0.955116

Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal Flush	500	411240468	0.000021	0.010315
Straight Flush	100	2532907488	0.000127	0.012707
4 of a Kind	30	46803703116	0.002348	0.070441
Full House	9	228016506204	0.011439	0.102951
Flush	6	247464811524	0.012415	0.074488
Straight	4	238469512044	0.011963	0.047854
3 of a Kind	2	1468138588212	0.073653	0.147306
Two Pair	2	2548457384580	0.127850	0.255699
Jacks or Better	1	4191669903384	0.210286	0.210286
Nothing	0	10961265960180	0.549899	0.000000
Total		19933230517200	1.000000	0.932047

Jacks or Better
Hand	Payoff	Combinations	Probability	Return
Royal flush	1000	553693344	0.000028	0.027777
Straight flush	50	2181883836	0.000109	0.005473
4 of a kind	20	46927098840	0.002354	0.047084
Full house	7	228888423720	0.011483	0.080379
Flush	5	220234644540	0.011049	0.055243
Straight	4	226131938628	0.011344	0.045378
3 of a kind	3	1477703531280	0.074133	0.222398
Two pair	2	2569008096000	0.128881	0.257761
Jacks or better	1	4252431465432	0.213334	0.213334
Nothing	0	10909169741580	0.547286	0.000000
Total		19933230517200	1.000000	0.954828

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