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Videopokerin strategialaskuri

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

Perfect Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush1,060.096569,016,2280.00002935,031.0432.020.030262
Straight Flush502,070,428,3160.0001049,627.590.250.005193
Four Aces with any 2,3,4834.6481,410,702,2520.00007114,130.0149.180.059069
Four 2's, 3's, 4's with any A,2,3,4179.6722,926,746,7920.0001476,810.714.690.026381
Four Aces209.6242,999,903,7240.0001506,644.626.550.031548
Four 2's, 3's, 4's807,873,931,9760.0003952,531.552.470.031601
Four 5's through K's5032,354,870,2920.001623616.083.900.081158
Full House7209,699,355,4200.01052095.060.380.073641
Flush5219,152,878,4160.01099490.960.180.054972
Straight4252,944,697,8400.01269078.800.110.050758
Three of a Kind31,503,902,143,2720.07544713.250.300.226341
Two Pair12,447,389,082,5920.1227798.140.000.122779
Jacks or Better14,204,760,301,3240.2109424.740.000.210942
Nothing011,045,176,458,7560.5541091.800.560.000000
Totals19,933,230,517,2001.0000002.24100.581.004646

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush1,060.096567,623,5440.00002835,116.9931.940.030188
Straight Flush502,059,876,6320.0001039,676.910.250.005167
Four Aces with any 2,3,4834.6481,410,795,1320.00007114,129.0849.190.059073
Four 2's, 3's, 4's with any A,2,3,4179.6722,926,756,0800.0001476,810.694.690.026381
Four Aces209.6243,000,259,2480.0001516,643.846.550.031552
Four 2's, 3's, 4's807,873,931,9760.0003952,531.552.470.031601
Four 5's through K's5032,355,168,0240.001623616.083.900.081159
Full House7209,704,482,3960.01052095.050.380.073642
Flush5218,755,376,7840.01097491.120.180.054872
Straight4252,813,375,8400.01268378.850.110.050732
Three of a Kind31,503,943,273,6320.07544913.250.300.226347
Two Pair12,447,462,615,6880.1227838.140.000.122783
Jacks or Better14,208,787,257,6880.2111444.740.000.211144
Nothing011,041,569,724,5360.5539281.810.560.000000
Totals19,933,230,517,2001.0000002.24100.501.004641

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat Hand
(more)Four 2's, 3's, 4's with any A,2,3,4; Four Aces with any 2,3,4; Straigh...
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
3 of a Kind + 1 KickerAAA2; AAA3; AAA4
3 of a Kind222; 333; 444; AAA
Pat HandStraight; Flush; Full House
3 of a Kind555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
1 PairAA
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
3 to a Royal FlushTJQ; TJK; TQK; JQA; JQK; JKA; QKA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
3 to a Royal FlushTJA; TQA; TKA
1 PairJJ; QQ; KK
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
4 to a Straight89TJ; 9TJQ; TJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
3 to a Straight Flush8TJ; 9TJ; 9JQ
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; JQKA
3 to a Straight Flush89J; 8JQ; 9TQ; 9JK; 9QK
2 to a Royal FlushJA; JQ; JK; QA; QK
3 to a Straight Flush456; 567; 678; 789; 89T
2 to a Royal FlushKA
3 to a Straight Flush345
4 to a StraightTJQA; TQKA
4 to a Straight8TJQ; 9TJK; 9TQK; 9JQK; TJKA
Single Cardan Ace
3 to a StraightJQK
4 to a Straight89JQ
3 to a Straight FlushA23; A24; A34; 568; 578; 689; 78T; 78J; 79T; 79J; 7TJ; 89Q; 8TQ; 9TK
2 to a StraightJQ
2 to a Royal FlushTJ
3 to a Straight Flush234; 235; 245; 346; 356; 457; 467; 679
2 to a StraightJK; QK
2 to a Royal FlushTQ; TK
Single Carda Jack; a Queen; a King
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
4 to a Straight
(more)2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578; 4678; 5679; 5689; 5789...
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Royal Flush: TJ2 to a Straight: JQ
(more)2♣ 3♣ 10♦ J♦ Q♣
2 to a Royal Flush: TQ2 to a Straight: QK
(more)2♣ 3♣ 10♦ Q♦ K♣
2 to a Straight: JK2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ K♦
3 to a Straight Flush: A23Single Card: an Ace
(more)2♣ 3♣ J♦ Q♥ A♣
3 to a Straight Flush: A24Single Card: an Ace
(more)2♣ 4♣ J♦ Q♥ A♣
3 to a Straight Flush: A34Single Card: an Ace
(more)3♣ 4♣ J♦ Q♥ A♣
3 to a Straight Flush: 2342 to a Straight: JQ2♣ 3♣ 4♣ J♦ Q♥
3 to a Straight Flush: 2352 to a Straight: JQ2♣ 3♣ 5♣ J♦ Q♥
3 to a Straight Flush: 2452 to a Straight: JQ2♣ 4♣ 5♣ J♦ Q♥
3 to a Straight Flush: 3462 to a Straight: JQ3♣ 4♣ 6♣ J♦ Q♥
3 to a Straight Flush: 3562 to a Straight: JQ3♣ 5♣ 6♣ J♦ Q♥
3 to a Straight Flush: 4572 to a Straight: JQ4♣ 5♣ 7♣ J♦ Q♥
3 to a Straight Flush: 4672 to a Straight: JQ4♣ 6♣ 7♣ J♦ Q♥
3 to a Straight Flush: 6792 to a Straight: JQ6♣ 7♣ 9♣ J♦ Q♥
3 to a Straight Flush: 6894 to a Straight: 89JQ6♣ 8♣ 9♣ J♦ Q♥
3 to a Straight Flush: 79T4 to a Straight: 9TQK7♣ 9♣ 10♣ Q♦ K♥
3 to a Straight Flush: 7892 to a Royal Flush: QK7♣ 8♣ 9♣ Q♦ K♦
3 to a Straight Flush: 4562 to a Royal Flush: JA4♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 5672 to a Royal Flush: JA5♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 6782 to a Royal Flush: JA6♣ 7♣ 8♣ J♦ A♦
3 to a Straight Flush: 4562 to a Royal Flush: QA4♣ 5♣ 6♣ Q♦ A♦
3 to a Straight Flush: 5672 to a Royal Flush: QA5♣ 6♣ 7♣ Q♦ A♦
3 to a Straight Flush: 6782 to a Royal Flush: QA6♣ 7♣ 8♣ Q♦ A♦
3 to a Straight Flush: 7892 to a Royal Flush: QA7♣ 8♣ 9♣ Q♦ A♦