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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 Flush800502,863,4800.00002539,639.4516.110.020182
Straight Flush502,142,166,7640.0001079,305.170.260.005373
Four Aces with any 2,3,44001,227,349,9080.00006216,240.879.800.024629
Four 2's, 3's, 4's with any A,2,3,41602,924,789,0880.0001476,815.273.710.023477
Four Aces1603,456,955,8840.0001735,766.124.390.027748
Four 2's, 3's, 4's807,874,340,6480.0003952,531.422.470.031603
Four 5's through K's5032,520,617,7480.001631612.943.920.081574
Full House7210,348,958,1400.01055394.760.390.073869
Flush5219,284,669,9760.01100190.900.180.055005
Straight4258,373,417,7400.01296277.150.120.051848
Three of a Kind31,506,931,534,3800.07559913.230.320.226797
Two Pair12,453,700,329,6760.1230968.120.000.123096
Jacks or Better14,224,235,602,6360.2119194.720.000.211919
Nothing011,009,706,921,1320.5523291.810.510.000000
Totals19,933,230,517,2001.0000002.2342.170.957120

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush800500,040,4440.00002539,863.2416.020.020069
Straight Flush502,139,151,2600.0001079,318.290.260.005366
Four Aces with any 2,3,44001,233,124,9800.00006216,164.819.850.024745
Four 2's, 3's, 4's with any A,2,3,41602,925,869,0760.0001476,812.763.710.023485
Four Aces1603,473,910,0960.0001745,737.984.410.027884
Four 2's, 3's, 4's807,873,931,9760.0003952,531.552.470.031601
Four 5's through K's5032,522,917,5600.001632612.903.920.081580
Full House7210,440,941,8480.01055794.720.390.073901
Flush5219,478,582,7760.01101190.820.180.055053
Straight4257,003,012,0400.01289377.560.120.051573
Three of a Kind31,507,969,292,4240.07565113.220.320.226953
Two Pair12,455,117,376,6160.1231678.120.000.123167
Jacks or Better14,219,546,038,8040.2116844.720.000.211684
Nothing011,013,006,327,3000.5524951.810.510.000000
Totals19,933,230,517,2001.0000002.2342.150.957062

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 Kind222; 333; 444; AAA
Pat HandStraight; Flush; Full House
3 of a Kind555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
1 PairAA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
1 PairJJ; QQ; KK
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
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 Flush89T; 89J; 8JQ; 9TQ; 9JK; 9QK
2 to a Royal FlushJQ
3 to a Straight Flush345; 456; 567; 678; 789
2 to a Royal FlushJK; QK
4 to a Straight8TJQ; 9TQK; 9JQK; TJQA; TJKA; TQKA
2 to a Royal FlushJA; QA; KA
3 to a StraightJQK
4 to a Straight89JQ; 9TJK
3 to a Straight Flush
(more)A23; A24; A25; A34; A35; A45; 346; 356; 457; 467; 568; 578; 78T; 78J...
Single Cardan Ace
3 to a Straight Flush234; 235; 245; 679; 689
2 to a StraightJQ; JK; QK
2 to a Royal FlushTJ; TQ; 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 Straight: JQSingle Card: an Ace
(more)2♣ 3♣ J♣ Q♦ A♥
Single Card: a King2 to a Royal Flush: TK
(more)2♣ 3♣ 4♦ 10♦ K♦
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
2 to a Straight: JKSingle Card: an Ace
(more)2♣ 3♦ J♣ K♥ A♦
2 to a Straight: QKSingle Card: an Ace
(more)2♣ 3♦ Q♣ K♥ A♦
2 to a Royal Flush: TJSingle Card: an Ace
(more)2♣ 3♦ 10♥ J♥ A♣
4 to a Straight: 9JQK2 to a Royal Flush: JK
(more)2♣ 9♦ J♣ Q♦ K♣
4 to a Straight: TJKA2 to a Royal Flush: JK
(more)2♣ 10♦ J♣ K♣ A♦
4 to a Straight: 9JQK2 to a Royal Flush: QK
(more)2♣ 9♦ J♦ Q♣ K♣
4 to a Straight: TQKA2 to a Royal Flush: QK
(more)2♣ 10♦ Q♣ K♣ A♦
3 to a Royal Flush: JQK1 Pair: JJ
(more)J♣ J♦ 2♣ Q♦ K♦
3 to a Royal Flush: JQK1 Pair: QQ
(more)Q♣ Q♦ 2♣ J♦ K♦
3 to a Royal Flush: JQK1 Pair: KK
(more)K♣ K♦ 2♣ J♦ Q♦
3 to a Straight Flush: 679Single Card: an Ace
(more)2♣ 6♦ 7♦ 9♦ A♣
3 to a Straight Flush: 689Single Card: an Ace
(more)2♣ 6♦ 8♦ 9♦ A♣
3 to a Straight Flush: 234Single Card: an Ace
(more)2♣ 3♣ 4♣ 10♦ A♦
Single Card: an Ace3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ A♣
Single Card: an Ace3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ A♣
Single Card: an Ace3 to a Straight Flush: 568
(more)4♣ 5♦ 6♦ 8♦ A♣
Single Card: an Ace3 to a Straight Flush: 578
(more)4♣ 5♦ 7♦ 8♦ A♣
Single Card: an Ace3 to a Straight Flush: 78T
(more)6♣ 7♦ 8♦ 10♦ A♣
Single Card: an Ace3 to a Straight Flush: 79T
(more)6♣ 7♦ 9♦ 10♦ A♣
Single Card: an Ace3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ A♥
Single Card: an Ace3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ A♥
Single Card: an Ace3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ A♥
Single Card: an Ace3 to a Straight Flush: 89Q8♣ 9♣ 10♦ Q♣ A♥
Single Card: an Ace3 to a Straight Flush: 8TQ8♣ 9♦ 10♣ Q♣ A♥
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: 235Single Card: an Ace2♣ 3♣ 5♣ 10♦ A♦
3 to a Straight Flush: 245Single Card: an Ace2♣ 4♣ 5♣ 10♦ A♦