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ビデオポーカー戦略計算機

概要

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

Perfect Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Five Aces1,200243,287,0160.000010100,987.1614.240.011883
Royal Flush800558,138,7800.00002344,019.2814.500.018174
Straight Flush1002,593,608,7560.0001069,472.851.040.010556
Four Aces8025,356,264,2160.001032968.956.450.082564
Four 2's, 3's, 4's4011,962,863,0000.0004872,053.760.740.019476
Four 5's through K's2536,657,506,1600.001492670.230.860.037301
Full House8270,403,388,8920.01100690.860.550.088047
Flush5240,509,938,6440.009789102.150.160.048946
Straight4281,152,995,0360.01144387.390.110.045774
Three of a Kind31,987,831,308,6240.08090912.360.340.242726
Two Pair13,034,424,322,1080.1235078.100.000.123507
Jacks or Better15,662,982,006,1000.2304944.340.000.230494
Nothing013,014,189,893,8680.5297031.890.490.000000
Totals24,568,865,521,2001.0000002.1339.460.959448

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Five Aces1,200243,399,4800.000010100,940.5014.240.011888
Royal Flush800553,595,8680.00002344,380.5114.390.018026
Straight Flush1002,576,850,1680.0001059,534.461.030.010488
Four Aces8025,377,325,0800.001033968.146.450.082632
Four 2's, 3's, 4's4011,968,475,1120.0004872,052.800.740.019486
Four 5's through K's2536,663,228,3600.001492670.120.860.037307
Full House8270,490,839,9480.01100990.830.550.088076
Flush5239,727,534,3840.009757102.490.160.048787
Straight4280,355,023,2240.01141187.630.110.045644
Three of a Kind31,988,793,228,2640.08094812.350.340.242843
Two Pair13,035,541,491,1720.1235528.090.000.123552
Jacks or Better15,668,222,362,0120.2307084.330.000.230708
Nothing013,008,352,168,1280.5294651.890.490.000000
Totals24,568,865,521,2001.0000002.1339.350.959437

The following tables show the basic strategy:

Basic Strategy — Ace of Stars Not Dealt
Type of Play Play Details
Pat HandStraight Flush; Royal Flush
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 KindAAA
Pat HandFull House
4 to a Straight Flush2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
Pat HandStraight; Flush
4 to a Straight Flush
(more)A234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578...
1 PairAA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
3 to a Royal FlushTJQ; JQK
1 PairJJ; QQ; KK
3 to a Royal FlushTJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
4 to a Straight2345; 5678; 6789; 789T; 9TJQ; TJQK
3 to a Straight Flush9TJ; 9JQ
1 Pair22; 33; 44
4 to a Straight3456; 4567; 89TJ; JQKA
3 to a Straight Flush345; 456; 567; 678; 789; 89T
1 Pair55; 66; 77; 88; 99; TT
3 to a Straight Flush89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK
2 to a Royal FlushJA; QA; KA
Single Cardan Ace
2 to a Royal FlushJQ
3 to a Straight Flush234; 235; 245; 7TJ; 8TQ; 9TK
2 to a Royal FlushJK
3 to a Straight Flush78T; 79T
2 to a Royal FlushQK
4 to a Straight9JQK
3 to a Straight Flush346; 356; 457; 467; 568; 578; 679; 689; 78J; 79J; 89Q
4 to a Straight89JQ; 8TJQ; 9TJK; 9TQK
3 to a StraightTJQ; JQK
2 to a StraightJQ; JK; QK
2 to a Royal FlushTJ; TQ
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
GarbageDiscard everything

Basic Strategy — Ace of Stars Dealt
Type of Play Play Details
Pat HandFive Aces
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 KindAAA
Pat HandFull House
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
Pat HandStraight
1 PairAA
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344...
3 to a Royal FlushTJQ; JQK
1 Pair22; 33; 44; JJ; QQ; KK
3 to a Royal FlushTJK; TQK
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
4 to a Straight3456; 4567; 5678; 6789; 789T; 9TJQ
3 to a Straight Flush345; 456; 567; 678; 789; 9TJ; 9JQ
4 to a Straight89TJ; JQKA
3 to a Straight Flush89T
1 Pair55; 66; 77; 88; 99; TT
3 to a Straight Flush89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK
2 to a Royal FlushJQ
4 to a StraightTJQA; TJKA; TQKA
Single Cardan Ace

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
2 to a Royal Flush: TKSingle Card: a King
(more)2♣ 3♣ 4♦ 10♥ K♥
2 to a Royal Flush: JQSingle Card: an Ace
(more)2♣ 3♣ J♦ Q♦ A♣
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
4 to a Straight: 9JQK2 to a Royal Flush: JK
(more)2♣ 9♦ J♣ Q♦ K♣
4 to a Straight: 9JQK2 to a Royal Flush: QK
(more)2♣ 9♦ J♦ Q♣ K♣
3 to a Straight Flush: 3454 to a Straight: 3456
(more)3♣ 4♣ 5♣ 6♦ 8♦
2 to a Royal Flush: JKSingle Card: an Ace
(more)2♦ 3♦ J♥ K♥ A✩
2 to a Royal Flush: QKSingle Card: an Ace
(more)2♦ 3♦ Q♥ K♥ A✩
3 to a Straight Flush: 3451 Pair: 33
(more)3♣ 3♦ 4♣ 5♣ 8♦
3 to a Straight Flush: 3451 Pair: 44
(more)4♣ 4♦ 3♣ 5♣ 8♦
Single Card: an Ace2 to a Royal Flush: JQ
(more)2♦ 9♥ J♦ Q♦ A✩
4 to a Straight: TJQA2 to a Royal Flush: JQ
(more)2♦ 10♥ J♦ Q♦ A✩
4 to a Straight: 89TJ3 to a Straight Flush: 9TJ8♣ 8♦ 9♥ 10♥ J♥