Video Poker Strategy Calculator

簡介

The following table shows the results when following perfect strategy (basic strategy and all of the exceptions):

Perfect Strategy Analysis
Hand	Payoff	Combinations	Probability	Hit Frequency	Variance	Return
Natural Royal Flush	250	420,641,076	0.000021	47,387.74	1.31	0.005276
Four Deuces	200	4,067,139,864	0.000204	4,901.04	8.08	0.040808
Wild Royal Flush	25	35,208,731,136	0.001766	566.14	1.02	0.044158
Five of a Kind	15	63,888,806,976	0.003205	312.00	0.63	0.048077
Straight Flush	9	83,167,228,080	0.004172	239.68	0.27	0.037551
Four of a Kind	5	1,296,657,219,456	0.065050	15.37	1.04	0.325250
Full House	3	423,349,597,800	0.021238	47.08	0.09	0.063715
Flush	2	331,256,733,300	0.016618	60.17	0.02	0.033237
Straight	2	1,121,273,814,228	0.056251	17.78	0.06	0.112503
Three of a Kind	1	5,684,149,526,916	0.285159	3.51	0.00	0.285159
Nothing	0	10,889,791,078,368	0.546313	1.83	0.54	0.000000
Totals		19,933,230,517,200	1.000000	2.20	13.05	0.995734

The following table shows the results when following basic strategy only (not its exceptions):

Basic Strategy Analysis
Hand	Payoff	Combinations	Probability	Hit Frequency	Variance	Return
Natural Royal Flush	250	419,926,596	0.000021	47,468.37	1.31	0.005267
Four Deuces	200	4,125,438,576	0.000207	4,831.78	8.20	0.041393
Wild Royal Flush	25	34,244,557,248	0.001718	582.08	0.99	0.042949
Five of a Kind	15	63,155,493,984	0.003168	315.62	0.62	0.047525
Straight Flush	9	83,606,166,960	0.004194	238.42	0.27	0.037749
Four of a Kind	5	1,300,452,992,040	0.065240	15.33	1.05	0.326202
Full House	3	423,434,416,824	0.021243	47.08	0.09	0.063728
Flush	2	327,526,646,148	0.016431	60.86	0.02	0.032862
Straight	2	1,122,205,633,092	0.056298	17.76	0.06	0.112596
Three of a Kind	1	5,689,471,079,868	0.285426	3.50	0.00	0.285426
Nothing	0	10,884,588,165,864	0.546052	1.83	0.54	0.000000
Totals		19,933,230,517,200	1.000000	2.20	13.13	0.995698

The following tables show the basic strategy:

Basic Strategy — No Wilds Dealt
Type of Play	Play Details
Pat Hand	Full House; Straight Flush; Natural Royal Flush
4 to a Natural Royal Flush	TJQA; TJQK; TJKA; TQKA; JQKA
4 of a Kind	3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK; AAAA
3 of a Kind	333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat Hand	Straight; Flush
4 to a Straight Flush	(more)A345; 3456; 3457; 3467; 3567; 4567; 4568; 4578; 4678; 5678; 5679; 5689... (less)A345; 3456; 3457; 3467; 3567; 4567; 4568; 4578; 4678; 5678; 5679; 5689; 5789; 6789; 678T; 679T; 689T; 789T; 789J; 78TJ; 79TJ; 89TJ; 89TQ; 89JQ; 8TJQ; 9TJQ; 9TJK; 9TQK; 9JQK
3 to a Natural Royal Flush	TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
1 Pair	33; 44; 55; 66; 77; 88; 99; TT; JJ; QQ; KK; AA
4 to a Straight	4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK
4 to a Flush	(more)3458; 3459; 345T; 345J; 345Q; 345K; 346A; 3468; 3469; 346T; 346J; 346Q... (less)3458; 3459; 345T; 345J; 345Q; 345K; 346A; 3468; 3469; 346T; 346J; 346Q; 346K; 347A; 3478; 3479; 347T; 347J; 347Q; 347K; 348A; 3489; 348T; 348J; 348Q; 348K; 349A; 349T; 349J; 349Q; 349K; 34TA; 34TJ; 34TQ; 34TK; 34JA; 34JQ; 34JK; 34QA; 34QK; 34KA; 356A; 3568; 3569; 356T; 356J; 356Q; 356K; 357A; 3578; 3579; 357T; 357J; 357Q; 357K; 358A; 3589; 358T; 358J; 358Q; 358K; 359A; 359T; 359J; 359Q; 359K; 35TA; 35TJ; 35TQ; 35TK; 35JA; 35JQ; 35JK; 35QA; 35QK; 35KA; 367A; 3678; 3679; 367T; 367J; 367Q; 367K; 368A; 3689; 368T; 368J; 368Q; 368K; 369A; 369T; 369J; 369Q; 369K; 36TA; 36TJ; 36TQ; 36TK; 36JA; 36JQ; 36JK; 36QA; 36QK; 36KA; 378A; 3789; 378T; 378J; 378Q; 378K; 379A; 379T; 379J; 379Q; 379K; 37TA; 37TJ; 37TQ; 37TK; 37JA; 37JQ; 37JK; 37QA; 37QK; 37KA; 389A; 389T; 389J; 389Q; 389K; 38TA; 38TJ; 38TQ; 38TK; 38JA; 38JQ; 38JK; 38QA; 38QK; 38KA; 39TA; 39TJ; 39TQ; 39TK; 39JA; 39JQ; 39JK; 39QA; 39QK; 39KA; 456A; 4569; 456T; 456J; 456Q; 456K; 457A; 4579; 457T; 457J; 457Q; 457K; 458A; 4589; 458T; 458J; 458Q; 458K; 459A; 459T; 459J; 459Q; 459K; 45TA; 45TJ; 45TQ; 45TK; 45JA; 45JQ; 45JK; 45QA; 45QK; 45KA; 467A; 4679; 467T; 467J; 467Q; 467K; 468A; 4689; 468T; 468J; 468Q; 468K; 469A; 469T; 469J; 469Q; 469K; 46TA; 46TJ; 46TQ; 46TK; 46JA; 46JQ; 46JK; 46QA; 46QK; 46KA; 478A; 4789; 478T; 478J; 478Q; 478K; 479A; 479T; 479J; 479Q; 479K; 47TA; 47TJ; 47TQ; 47TK; 47JA; 47JQ; 47JK; 47QA; 47QK; 47KA; 489A; 489T; 489J; 489Q; 489K; 48TA; 48TJ; 48TQ; 48TK; 48JA; 48JQ; 48JK; 48QA; 48QK; 48KA; 49TA; 49TJ; 49TQ; 49TK; 49JA; 49JQ; 49JK; 49QA; 49QK; 49KA; 567A; 567T; 567J; 567Q; 567K; 568A; 568T; 568J; 568Q; 568K; 569A; 569T; 569J; 569Q; 569K; 56TA; 56TJ; 56TQ; 56TK; 56JA; 56JQ; 56JK; 56QA; 56QK; 56KA; 578A; 578T; 578J; 578Q; 578K; 579A; 579T; 579J; 579Q; 579K; 57TA; 57TJ; 57TQ; 57TK; 57JA; 57JQ; 57JK; 57QA; 57QK; 57KA; 589A; 589T; 589J; 589Q; 589K; 58TA; 58TJ; 58TQ; 58TK; 58JA; 58JQ; 58JK; 58QA; 58QK; 58KA; 59TA; 59TJ; 59TQ; 59TK; 59JA; 59JQ; 59JK; 59QA; 59QK; 59KA; 678A; 678J; 678Q; 678K; 679A; 679J; 679Q; 679K; 67TA; 67TJ; 67TQ; 67TK; 67JA; 67JQ; 67JK; 67QA; 67QK; 67KA; 689A; 689J; 689Q; 689K; 68TA; 68TJ; 68TQ; 68TK; 68JA; 68JQ; 68JK; 68QA; 68QK; 68KA; 69TA; 69TJ; 69TQ; 69TK; 69JA; 69JQ; 69JK; 69QA; 69QK; 69KA; 789A; 789Q; 789K; 78TA; 78TQ; 78TK; 78JA; 78JQ; 78JK; 78QA; 78QK; 78KA; 79TA; 79TQ; 79TK; 79JA; 79JQ; 79JK; 79QA; 79QK; 79KA; 89TA; 89TK; 89JA; 89JK; 89QA; 89QK; 89KA
3 to a Straight Flush	(more)345; 346; 347; 356; 357; 367; 456; 457; 458; 467; 468; 478; 567; 568... (less)345; 346; 347; 356; 357; 367; 456; 457; 458; 467; 468; 478; 567; 568; 569; 578; 579; 589; 678; 679; 67T; 689; 68T; 69T; 789; 78T; 78J; 79T; 79J; 7TJ; 89T; 89J; 89Q; 8TJ; 8TQ; 8JQ; 9TJ; 9TQ; 9TK; 9JQ; 9JK; 9QK
4 to a Straight	(more)3456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789; 678T; 679T... (less)3456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789; 678T; 679T; 689T; 789J; 78TJ; 79TJ; 89TQ; 89JQ; 8TJQ; 9TJK; 9TQK; 9JQK; TJQA; TJKA; TQKA; JQKA
2 to a Natural Royal Flush	TJ
Garbage	Discard everything

Basic Strategy — One Wild Dealt
Type of Play	Play Details
Pat Hand	Full House; Straight Flush; Five of a Kind; Wild Royal Flush
4 of a Kind	W333; W444; W555; W666; W777; W888; W999; WTTT; WJJJ; WQQQ; WKKK; WAAA
4 to a Wild Royal Flush	WTJA; WTJQ; WTJK; WTQA; WTQK; WTKA; WJQA; WJQK; WJKA; WQKA
4 to a Straight Flush	W567; W678; W789; W89T; W9TJ
3 of a Kind	W33; W44; W55; W66; W77; W88; W99; WTT; WJJ; WQQ; WKK; WAA
Pat Hand	Straight; Flush
4 to a Straight Flush	(more)WA34; WA35; WA45; W345; W346; W347; W356; W357; W367; W456; W457; W458... (less)WA34; WA35; WA45; W345; W346; W347; W356; W357; W367; W456; W457; W458; W467; W468; W478; W568; W569; W578; W579; W589; W679; W67T; W689; W68T; W69T; W78T; W78J; W79T; W79J; W7TJ; W89J; W89Q; W8TJ; W8TQ; W8JQ; W9TQ; W9TK; W9JQ; W9JK; W9QK
3 to a Wild Royal Flush	WTJ; WTQ; WTK; WJQ; WJK; WQK
3 to a Straight Flush	W67; W78; W89; W9T
Wild Only

Basic Strategy — Two Wilds Dealt
Type of Play	Play Details
Pat Hand	Straight Flush; Five of a Kind; Wild Royal Flush
4 of a Kind	WW33; WW44; WW55; WW66; WW77; WW88; WW99; WWTT; WWJJ; WWQQ; WWKK; WWAA
4 to a Wild Royal Flush	WWTA; WWTJ; WWTQ; WWTK; WWJA; WWJQ; WWJK; WWQA; WWQK; WWKA
4 to a Straight Flush	WW67; WW78; WW89; WW9T
Wilds Only

Basic Strategy — Three Wilds Dealt
Type of Play	Play Details
Pat Hand	Wild Royal Flush
Wilds Only

Basic Strategy — Four Wilds Dealt
Type of Play	Play Details
Wilds Only

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play	Wrong Play	Pattern(s)
3 to a Wild Royal Flush: WTA	Wild Only	(more)2♣ 3♣ 4♦ 10♥ A♥ (less)2♣ 3♣ 4♦ 10♥ A♥ 2♣ 3♣ 5♣ 10♦ A♦ 2♣ 3♣ 5♦ 10♥ A♥ 2♣ 4♣ 5♣ 10♦ A♦ 2♣ 4♣ 5♦ 10♥ A♥ 2♣ 3♣ 6♣ 10♦ A♦ 2♣ 3♣ 6♦ 10♥ A♥ 2♣ 4♣ 6♣ 10♦ A♦ 2♣ 4♣ 6♦ 10♥ A♥ 2♣ 5♣ 6♣ 10♦ A♦ 2♣ 5♣ 6♦ 10♥ A♥ 2♣ 3♣ 7♣ 10♦ A♦ 2♣ 3♣ 7♦ 10♥ A♥ 2♣ 4♣ 7♣ 10♦ A♦ 2♣ 4♣ 7♦ 10♥ A♥ 2♣ 5♣ 7♣ 10♦ A♦ 2♣ 5♣ 7♦ 10♥ A♥ 2♣ 6♣ 7♦ 10♥ A♥ 2♣ 3♣ 8♣ 10♦ A♦ 2♣ 3♣ 8♦ 10♥ A♥ 2♣ 4♣ 8♣ 10♦ A♦ 2♣ 4♣ 8♦ 10♥ A♥ 2♣ 5♣ 8♣ 10♦ A♦ 2♣ 5♣ 8♦ 10♥ A♥ 2♣ 6♣ 8♣ 10♦ A♦ 2♣ 6♣ 8♦ 10♥ A♥ 2♣ 7♣ 8♦ 10♥ A♥ 2♣ 3♣ 9♣ 10♦ A♦ 2♣ 3♣ 9♦ 10♥ A♥ 2♣ 4♣ 9♣ 10♦ A♦ 2♣ 4♣ 9♦ 10♥ A♥ 2♣ 5♣ 9♣ 10♦ A♦ 2♣ 5♣ 9♦ 10♥ A♥ 2♣ 6♣ 9♣ 10♦ A♦ 2♣ 6♣ 9♦ 10♥ A♥ 2♣ 7♣ 9♣ 10♦ A♦ 2♣ 7♣ 9♦ 10♥ A♥ 2♣ 8♣ 9♦ 10♥ A♥ 2♣ 7♣ 10♦ J♥ A♦
3 to a Wild Royal Flush: WJA	Wild Only	(more)2♣ 3♣ 5♦ J♥ A♥ (less)2♣ 3♣ 5♦ J♥ A♥ 2♣ 4♣ 5♣ J♦ A♦ 2♣ 4♣ 5♦ J♥ A♥ 2♣ 3♣ 6♣ J♦ A♦ 2♣ 3♣ 6♦ J♥ A♥ 2♣ 4♣ 6♣ J♦ A♦ 2♣ 4♣ 6♦ J♥ A♥ 2♣ 5♣ 6♣ J♦ A♦ 2♣ 5♣ 6♦ J♥ A♥ 2♣ 3♣ 7♣ J♦ A♦ 2♣ 3♣ 7♦ J♥ A♥ 2♣ 4♣ 7♣ J♦ A♦ 2♣ 4♣ 7♦ J♥ A♥ 2♣ 5♣ 7♣ J♦ A♦ 2♣ 5♣ 7♦ J♥ A♥ 2♣ 6♣ 7♦ J♥ A♥ 2♣ 3♣ 8♣ J♦ A♦ 2♣ 3♣ 8♦ J♥ A♥ 2♣ 4♣ 8♣ J♦ A♦ 2♣ 4♣ 8♦ J♥ A♥ 2♣ 5♣ 8♣ J♦ A♦ 2♣ 5♣ 8♦ J♥ A♥ 2♣ 6♣ 8♣ J♦ A♦ 2♣ 6♣ 8♦ J♥ A♥ 2♣ 7♣ 8♦ J♥ A♥ 2♣ 3♣ 9♣ J♦ A♦ 2♣ 3♣ 9♦ J♥ A♥ 2♣ 4♣ 9♣ J♦ A♦ 2♣ 4♣ 9♦ J♥ A♥ 2♣ 5♣ 9♣ J♦ A♦ 2♣ 5♣ 9♦ J♥ A♥ 2♣ 6♣ 9♣ J♦ A♦ 2♣ 6♣ 9♦ J♥ A♥ 2♣ 7♣ 9♣ J♦ A♦ 2♣ 7♣ 9♦ J♥ A♥ 2♣ 8♣ 9♦ J♥ A♥ 2♣ 7♣ 10♦ J♥ A♥
3 to a Wild Royal Flush: WQA	Wild Only	(more)2♣ 4♣ 5♦ Q♥ A♥ (less)2♣ 4♣ 5♦ Q♥ A♥ 2♣ 4♣ 6♣ Q♦ A♦ 2♣ 4♣ 6♦ Q♥ A♥ 2♣ 5♣ 6♣ Q♦ A♦ 2♣ 5♣ 6♦ Q♥ A♥ 2♣ 3♣ 7♣ Q♦ A♦ 2♣ 3♣ 7♦ Q♥ A♥ 2♣ 4♣ 7♣ Q♦ A♦ 2♣ 4♣ 7♦ Q♥ A♥ 2♣ 5♣ 7♣ Q♦ A♦ 2♣ 5♣ 7♦ Q♥ A♥ 2♣ 6♣ 7♦ Q♥ A♥ 2♣ 3♣ 8♣ Q♦ A♦ 2♣ 3♣ 8♦ Q♥ A♥ 2♣ 4♣ 8♣ Q♦ A♦ 2♣ 4♣ 8♦ Q♥ A♥ 2♣ 5♣ 8♣ Q♦ A♦ 2♣ 5♣ 8♦ Q♥ A♥ 2♣ 6♣ 8♣ Q♦ A♦ 2♣ 6♣ 8♦ Q♥ A♥ 2♣ 7♣ 8♦ Q♥ A♥ 2♣ 3♣ 9♣ Q♦ A♦ 2♣ 3♣ 9♦ Q♥ A♥ 2♣ 4♣ 9♣ Q♦ A♦ 2♣ 4♣ 9♦ Q♥ A♥ 2♣ 5♣ 9♣ Q♦ A♦ 2♣ 5♣ 9♦ Q♥ A♥ 2♣ 6♣ 9♣ Q♦ A♦ 2♣ 6♣ 9♦ Q♥ A♥ 2♣ 7♣ 9♣ Q♦ A♦ 2♣ 7♣ 9♦ Q♥ A♥ 2♣ 8♣ 9♦ Q♥ A♥
3 to a Wild Royal Flush: WKA	Wild Only	(more)2♣ 5♣ 6♣ K♦ A♦ (less)2♣ 5♣ 6♣ K♦ A♦ 2♣ 5♣ 6♦ K♥ A♥ 2♣ 4♣ 7♣ K♦ A♦ 2♣ 4♣ 7♦ K♥ A♥ 2♣ 5♣ 7♣ K♦ A♦ 2♣ 5♣ 7♦ K♥ A♥ 2♣ 6♣ 7♦ K♥ A♥ 2♣ 3♣ 8♦ K♥ A♥ 2♣ 4♣ 8♣ K♦ A♦ 2♣ 4♣ 8♦ K♥ A♥ 2♣ 5♣ 8♣ K♦ A♦ 2♣ 5♣ 8♦ K♥ A♥ 2♣ 6♣ 8♣ K♦ A♦ 2♣ 6♣ 8♦ K♥ A♥ 2♣ 7♣ 8♦ K♥ A♥ 2♣ 4♣ 9♣ K♦ A♦ 2♣ 4♣ 9♦ K♥ A♥ 2♣ 5♣ 9♣ K♦ A♦ 2♣ 5♣ 9♦ K♥ A♥ 2♣ 6♣ 9♣ K♦ A♦ 2♣ 6♣ 9♦ K♥ A♥ 2♣ 7♣ 9♣ K♦ A♦ 2♣ 7♣ 9♦ K♥ A♥ 2♣ 8♣ 9♦ K♥ A♥
2 to a Natural Royal Flush: TQ	Garbage: Discard everything	(more)3♣ 4♦ 6♥ 10♠ Q♠ (less)3♣ 4♦ 6♥ 10♠ Q♠ 3♣ 5♣ 6♦ 10♥ Q♥ 3♣ 5♦ 6♣ 10♥ Q♥ 3♣ 5♦ 6♦ 10♥ Q♥ 3♣ 5♦ 6♥ 10♠ Q♠ 4♣ 5♣ 6♦ 10♥ Q♥ 4♣ 5♦ 6♣ 10♥ Q♥ 4♣ 5♦ 6♦ 10♥ Q♥ 4♣ 5♦ 6♥ 10♠ Q♠ 3♣ 4♣ 7♦ 10♥ Q♥ 3♣ 4♦ 7♣ 10♥ Q♥ 3♣ 4♦ 7♦ 10♥ Q♥ 3♣ 4♦ 7♥ 10♠ Q♠ 3♣ 5♣ 7♦ 10♥ Q♥ 3♣ 5♦ 7♣ 10♥ Q♥ 3♣ 5♦ 7♦ 10♥ Q♥ 3♣ 5♦ 7♥ 10♠ Q♠ 4♣ 5♣ 7♦ 10♥ Q♥ 4♣ 5♦ 7♣ 10♥ Q♥ 4♣ 5♦ 7♦ 10♥ Q♥ 4♣ 5♦ 7♥ 10♠ Q♠ 3♣ 6♣ 7♦ 10♥ Q♥ 3♣ 6♦ 7♣ 10♥ Q♥ 3♣ 6♦ 7♦ 10♥ Q♥ 3♣ 6♦ 7♥ 10♠ Q♠ 4♣ 6♣ 7♦ 10♥ Q♥ 4♣ 6♦ 7♣ 10♥ Q♥ 4♣ 6♦ 7♦ 10♥ Q♥ 4♣ 6♦ 7♥ 10♠ Q♠ 5♣ 6♣ 7♦ 10♥ Q♥ 5♣ 6♦ 7♣ 10♥ Q♥ 5♣ 6♦ 7♦ 10♥ Q♥ 5♣ 6♦ 7♥ 10♠ Q♠ 5♣ 7♣ 8♦ 10♥ Q♥ 5♣ 7♦ 8♣ 10♥ Q♥ 5♣ 7♦ 8♦ 10♥ Q♥ 5♣ 7♦ 8♥ 10♠ Q♠
2 to a Natural Royal Flush: JQ	Garbage: Discard everything	(more)3♣ 5♦ 6♥ J♠ Q♠ (less)3♣ 5♦ 6♥ J♠ Q♠ 4♣ 5♣ 6♦ J♥ Q♥ 4♣ 5♦ 6♣ J♥ Q♥ 4♣ 5♦ 6♦ J♥ Q♥ 4♣ 5♦ 6♥ J♠ Q♠ 3♣ 4♦ 7♥ J♠ Q♠ 3♣ 5♣ 7♦ J♥ Q♥ 3♣ 5♦ 7♣ J♥ Q♥ 3♣ 5♦ 7♦ J♥ Q♥ 3♣ 5♦ 7♥ J♠ Q♠ 4♣ 5♣ 7♦ J♥ Q♥ 4♣ 5♦ 7♣ J♥ Q♥ 4♣ 5♦ 7♦ J♥ Q♥ 4♣ 5♦ 7♥ J♠ Q♠ 3♣ 6♣ 7♦ J♥ Q♥ 3♣ 6♦ 7♣ J♥ Q♥ 3♣ 6♦ 7♦ J♥ Q♥ 3♣ 6♦ 7♥ J♠ Q♠ 4♣ 6♣ 7♦ J♥ Q♥ 4♣ 6♦ 7♣ J♥ Q♥ 4♣ 6♦ 7♦ J♥ Q♥ 4♣ 6♦ 7♥ J♠ Q♠ 5♣ 6♣ 7♦ J♥ Q♥ 5♣ 6♦ 7♣ J♥ Q♥ 5♣ 6♦ 7♦ J♥ Q♥ 5♣ 6♦ 7♥ J♠ Q♠ 6♣ 7♦ 8♥ J♠ Q♠
Pat Hand: Five of a Kind	Wilds Only	(more)2♣ 2♦ 2♥ 10♦ 10♣ (less)2♣ 2♦ 2♥ 10♦ 10♣ 2♣ 2♦ 2♥ J♦ J♣ 2♣ 2♦ 2♥ Q♦ Q♣ 2♣ 2♦ 2♥ K♦ K♣ 2♣ 2♦ 2♥ A♦ A♣

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