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Video Poker Strategy Calculator
简介
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 |
Royal Flush | 800 | 513,684,516 | 0.000026 | 38,804.42 | 16.45 | 0.020616 |
Straight Flush | 50 | 2,127,256,944 | 0.000107 | 9,370.39 | 0.26 | 0.005336 |
Four Aces with any 2,3,4 | 800 | 1,407,094,896 | 0.000071 | 14,166.23 | 45.07 | 0.056472 |
Four 2's, 3's, 4's with any A,2,3,4 | 400 | 3,440,683,824 | 0.000173 | 5,793.39 | 27.48 | 0.069044 |
Four Aces | 160 | 2,985,179,664 | 0.000150 | 6,677.40 | 3.79 | 0.023961 |
Four 2's, 3's, 4's | 80 | 6,384,406,128 | 0.000320 | 3,122.17 | 2.00 | 0.025623 |
Four 5's through K's | 50 | 32,299,585,536 | 0.001620 | 617.14 | 3.90 | 0.081019 |
Full House | 9 | 209,721,570,768 | 0.010521 | 95.05 | 0.68 | 0.094691 |
Flush | 5 | 218,537,793,000 | 0.010963 | 91.21 | 0.18 | 0.054817 |
Straight | 4 | 272,234,057,004 | 0.013657 | 73.22 | 0.13 | 0.054629 |
Three of a Kind | 2 | 1,499,822,169,456 | 0.075242 | 13.29 | 0.08 | 0.150485 |
Two Pair | 1 | 2,441,164,915,152 | 0.122467 | 8.17 | 0.00 | 0.122467 |
Jacks or Better | 1 | 4,206,743,292,420 | 0.211042 | 4.74 | 0.00 | 0.211042 |
Nothing | 0 | 11,035,848,827,892 | 0.553641 | 1.81 | 0.52 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.24 | 100.53 | 0.970204 |
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 |
Royal Flush | 800 | 512,928,060 | 0.000026 | 38,861.65 | 16.43 | 0.020586 |
Straight Flush | 50 | 2,136,434,520 | 0.000107 | 9,330.14 | 0.26 | 0.005359 |
Four Aces with any 2,3,4 | 800 | 1,406,555,160 | 0.000071 | 14,171.67 | 45.05 | 0.056451 |
Four 2's, 3's, 4's with any A,2,3,4 | 400 | 3,440,692,080 | 0.000173 | 5,793.38 | 27.48 | 0.069044 |
Four Aces | 160 | 2,982,998,532 | 0.000150 | 6,682.28 | 3.78 | 0.023944 |
Four 2's, 3's, 4's | 80 | 6,384,322,536 | 0.000320 | 3,122.22 | 2.00 | 0.025623 |
Four 5's through K's | 50 | 32,297,144,340 | 0.001620 | 617.18 | 3.89 | 0.081013 |
Full House | 9 | 209,692,917,288 | 0.010520 | 95.06 | 0.68 | 0.094678 |
Flush | 5 | 218,934,460,260 | 0.010983 | 91.05 | 0.18 | 0.054917 |
Straight | 4 | 272,557,535,340 | 0.013674 | 73.13 | 0.13 | 0.054694 |
Three of a Kind | 2 | 1,499,528,720,772 | 0.075228 | 13.29 | 0.08 | 0.150455 |
Two Pair | 1 | 2,440,630,237,500 | 0.122440 | 8.17 | 0.00 | 0.122440 |
Jacks or Better | 1 | 4,205,641,266,576 | 0.210986 | 4.74 | 0.00 | 0.210986 |
Nothing | 0 | 11,037,084,304,236 | 0.553703 | 1.81 | 0.52 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.24 | 100.48 | 0.970191 |
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 Flush | TJQA; TJQK; TJKA; TQKA; JQKA |
3 of a Kind + 1 Kicker | 2223; 2224; 222A; 3332; 3334; 333A; 4442; 4443; 444A; AAA2; AAA3; AAA4 |
3 of a Kind | 222; 333; 444; AAA |
Pat Hand | Straight; Flush; Full House |
3 of a Kind | 555; 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 Pair | AA |
2 Pair | (more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 3344... |
3 to a Royal Flush | TJQ; JQK |
1 Pair | JJ; QQ; KK |
3 to a Royal Flush | TJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA |
4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
1 Pair | 22; 33; 44 |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK |
3 to a Straight Flush | 9TJ; 9JQ |
1 Pair | 55; 66; 77; 88; 99; TT |
4 to a Straight | JQKA |
3 to a Straight Flush | 345; 456; 567; 678; 89T; 89J; 8TJ; 8JQ; 9TQ; 9JK; 9QK |
4 to a Straight | 9JQK; TJQA; TJKA; TQKA |
2 to a Royal Flush | JQ |
3 to a Straight Flush | 789 |
2 to a Royal Flush | JA; JK; QA; QK; KA |
3 to a Straight | JQK |
3 to a Straight Flush | A23; A24; A25; A34; A35; A45 |
Single Card | an Ace |
4 to a Straight | 89JQ; 8TJQ; 9TJK; 9TQK |
3 to a Straight Flush | (more)234; 235; 245; 346; 356; 457; 467; 568; 578; 679; 689; 78T; 78J; 79T... |
3 to a Straight | TJQ |
2 to a Straight | JQ; JK; QK |
2 to a Royal Flush | TJ; TQ; TK |
Single Card | a Jack; a Queen; a King |
3 to a Straight Flush | 236; 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... |
Garbage | Discard 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: TJ | 2 to a Straight: JK | |
Single Card: a King | 2 to a Royal Flush: TK | |
2 to a Royal Flush: JQ | 4 to a Straight: 9JQK | |
2 to a Royal Flush: JQ | 4 to a Straight: TJQA | |
Single Card: an Ace | 3 to a Straight Flush: A25 | |
Single Card: an Ace | 3 to a Straight Flush: A35 | |
Single Card: an Ace | 3 to a Straight Flush: A45 | |
4 to a Straight: 89TQ | Single Card: a Queen | |
4 to a Straight: 89JQ | Single Card: an Ace | |
Single Card: an Ace | 3 to a Straight Flush: A23 | |
Single Card: an Ace | 3 to a Straight Flush: A24 | |
Single Card: an Ace | 3 to a Straight Flush: A34 | |
3 to a Straight Flush: 78J | Single Card: an Ace | |
3 to a Straight Flush: 79J | Single Card: an Ace | |
3 to a Straight Flush: 89Q | Single Card: an Ace | |
3 to a Straight Flush: 7TJ | Single Card: an Ace | |
3 to a Straight Flush: 8TQ | Single Card: an Ace | |
3 to a Straight Flush: 9TK | Single Card: an Ace | |
4 to a Straight: 79TJ | Single Card: a Jack | |
3 to a Straight Flush: 346 | Single Card: an Ace |