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Video Poker Strategy Calculator
Introduction
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 |
Five Jokers | 800 | 317,480,440 | 0.000006 | 171,382.54 | 3.73 | 0.004668 |
Natural Royal Flush | 800 | 710,306,016 | 0.000013 | 76,601.64 | 8.33 | 0.010444 |
Four Jokers | 50 | 34,813,367,320 | 0.000640 | 1,562.92 | 1.54 | 0.031991 |
Wild Royal Flush | 20 | 105,540,801,020 | 0.001940 | 515.54 | 0.70 | 0.038794 |
Five of a Kind | 15 | 225,927,826,320 | 0.004152 | 240.83 | 0.81 | 0.062284 |
Straight Flush | 9 | 327,485,764,336 | 0.006019 | 166.15 | 0.39 | 0.054169 |
Four of a Kind | 4 | 4,034,001,880,672 | 0.074140 | 13.49 | 0.67 | 0.296560 |
Full House | 3 | 997,406,301,312 | 0.018331 | 54.55 | 0.07 | 0.054993 |
Flush | 2 | 1,064,583,474,228 | 0.019566 | 51.11 | 0.02 | 0.039131 |
Straight | 2 | 3,051,629,897,340 | 0.056085 | 17.83 | 0.06 | 0.112170 |
Three of a Kind | 1 | 15,816,128,059,392 | 0.290681 | 3.44 | 0.00 | 0.290681 |
Nothing | 0 | 28,752,059,890,404 | 0.528427 | 1.89 | 0.52 | 0.000000 |
Totals | 54,410,605,048,800 | 1.000000 | 2.12 | 16.84 | 0.995886 |
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 |
Five Jokers | 800 | 317,530,360 | 0.000006 | 171,355.60 | 3.73 | 0.004669 |
Natural Royal Flush | 800 | 703,869,024 | 0.000013 | 77,302.17 | 8.26 | 0.010349 |
Four Jokers | 50 | 34,825,098,520 | 0.000640 | 1,562.40 | 1.54 | 0.032002 |
Wild Royal Flush | 20 | 105,213,536,060 | 0.001934 | 517.14 | 0.70 | 0.038674 |
Five of a Kind | 15 | 225,979,743,120 | 0.004153 | 240.78 | 0.81 | 0.062298 |
Straight Flush | 9 | 327,521,035,252 | 0.006019 | 166.13 | 0.39 | 0.054175 |
Four of a Kind | 4 | 4,035,605,443,288 | 0.074169 | 13.48 | 0.67 | 0.296678 |
Full House | 3 | 997,551,804,096 | 0.018334 | 54.54 | 0.07 | 0.055001 |
Flush | 2 | 1,062,833,484,024 | 0.019534 | 51.19 | 0.02 | 0.039067 |
Straight | 2 | 3,050,966,131,992 | 0.056073 | 17.83 | 0.06 | 0.112146 |
Three of a Kind | 1 | 15,823,502,362,440 | 0.290817 | 3.44 | 0.00 | 0.290817 |
Nothing | 0 | 28,745,585,010,624 | 0.528308 | 1.89 | 0.52 | 0.000000 |
Totals | 54,410,605,048,800 | 1.000000 | 2.12 | 16.76 | 0.995876 |
The following tables show the basic strategy:
Basic Strategy — No Jokers Dealt | |
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Type of Play | Play Details |
Pat Hand | Full House; Natural Royal Flush |
4 to a Natural Royal Flush | TJQA; TJQK; TJKA; TQKA; JQKA |
4 of a Kind | (more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK... |
Pat Hand | Straight; Flush; Straight Flush |
3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA |
4 to a Straight Flush | (more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567... |
3 to a Natural Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT; JJ; QQ; KK; AA |
4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
3 to a Straight Flush | A23; A24; A25; 236; 345; 456; 567; 678; 789; 89T; 9TJ; 9QK |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ; TJQK |
3 to a Straight Flush | (more)A34; A35; A45; 234; 235; 245; 246; 256; 346; 347; 356; 357; 367; 457... |
4 to a Straight | (more)A234; A235; A245; A345; 2346; 2356; 2456; 3457; 3467; 3567; 4568; 4578... |
2 to a Natural Royal Flush | TJ |
4 to a Straight | 678T; 679T; 78TJ |
Garbage | Discard everything |
Basic Strategy — One Joker Dealt | |
---|---|
Type of Play | Play Details |
Pat Hand | Full House; Straight Flush; Five of a Kind; Wild Royal Flush |
4 of a Kind | (more)W222; W333; W444; W555; W666; W777; W888; W999; WTTT; WJJJ; WQQQ; WKKK... |
4 to a Wild Royal Flush | WTJA; WTJQ; WTJK; WTQA; WTQK; WTKA; WJQA; WJQK; WJKA; WQKA |
4 to a Straight Flush | W345; W456; W567; W678; W789; W89T; W9TJ |
Pat Hand | Straight; Flush |
4 to a Straight Flush | (more)W234; W235; W245; W346; W356; W457; W467; W568; W578; W679; W689; W78T... |
3 of a Kind | W22; W33; W44; W55; W66; W77; W88; W99; WTT; WJJ; WQQ; WKK; WAA |
4 to a Straight Flush | (more)WA23; WA24; WA25; WA34; WA35; WA45; W236; W246; W256; W347; W357; W367... |
3 to a Wild Royal Flush | WTJ; WTQ; WTK; WJQ; WJK; WQK |
3 to a Straight Flush | W45; W56; W67; W78; W89; W9T |
Wild Only |
Basic Strategy — Two Jokers Dealt | |
---|---|
Type of Play | Play Details |
Pat Hand | Straight Flush; Five of a Kind; Wild Royal Flush |
4 of a Kind | (more)WW22; WW33; WW44; WW55; WW66; WW77; WW88; WW99; WWTT; WWJJ; WWQQ; WWKK... |
4 to a Wild Royal Flush | WWTA; WWTJ; WWTQ; WWTK; WWJA; WWJQ; WWJK; WWQA; WWQK; WWKA |
4 to a Straight Flush | (more)WW34; WW35; WW45; WW46; WW56; WW57; WW67; WW68; WW78; WW79; WW89; WW8T... |
Wilds Only |
Basic Strategy — Three Jokers Dealt | |
---|---|
Type of Play | Play Details |
Pat Hand | Five of a Kind; Wild Royal Flush |
Wilds Only |
Basic Strategy — Four Jokers Dealt | |
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Type of Play | Play Details |
Wilds Only |
Basic Strategy — Five Jokers Dealt | |
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Type of Play | Play Details |
Pat Hand |
The following table shows the exceptions to the basic strategy:
Basic Strategy Exceptions | ||
---|---|---|
Right Play | Wrong Play | Pattern(s) |
2 to a Natural Royal Flush: TQ | Garbage: Discard everything | |
2 to a Natural Royal Flush: JQ | Garbage: Discard everything | |
2 to a Natural Royal Flush: TJ | 4 to a Straight: TJQA | |
2 to a Natural Royal Flush: TJ | 4 to a Straight: TJKA | |
2 to a Natural Royal Flush: TJ | 4 to a Straight: 79TJ | |
4 to a Straight: 78TJ | 2 to a Natural Royal Flush: TJ | |
4 to a Straight: 2345 | 3 to a Straight Flush: 345 | |
4 to a Straight: 3456 | 3 to a Straight Flush: 345 | |
4 to a Straight: 3456 | 3 to a Straight Flush: 456 | |
4 to a Straight: 4567 | 3 to a Straight Flush: 456 | |
4 to a Straight: 4567 | 3 to a Straight Flush: 567 | |
4 to a Straight: 5678 | 3 to a Straight Flush: 567 | |
4 to a Straight: 5678 | 3 to a Straight Flush: 678 | |
4 to a Straight: 6789 | 3 to a Straight Flush: 678 | |
4 to a Straight: 6789 | 3 to a Straight Flush: 789 | |
4 to a Straight: 789T | 3 to a Straight Flush: 789 | |
4 to a Straight: 789T | 3 to a Straight Flush: 89T | |
4 to a Straight: 89TJ | 3 to a Straight Flush: 89T | |
4 to a Straight: 89TJ | 3 to a Straight Flush: 9TJ | |
4 to a Straight: 9TJQ | 3 to a Straight Flush: 9TJ |