On this page
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 |
Royal Flush | 800 | 488,567,700 | 0.000025 | 40,799.32 | 15.65 | 0.019608 |
Straight Flush | 50 | 2,184,917,880 | 0.000110 | 9,123.10 | 0.26 | 0.005481 |
Four Aces with any 2,3,4 | 400 | 1,227,691,500 | 0.000062 | 16,236.35 | 9.81 | 0.024636 |
Four 2's, 3's, 4's with any A,2,3,4 | 160 | 2,854,370,052 | 0.000143 | 6,983.41 | 3.62 | 0.022911 |
Four Aces | 160 | 3,460,011,120 | 0.000174 | 5,761.03 | 4.39 | 0.027773 |
Four 2's, 3's, 4's | 80 | 7,662,444,216 | 0.000384 | 2,601.42 | 2.40 | 0.030752 |
Four 5's through K's | 50 | 32,494,582,452 | 0.001630 | 613.43 | 3.92 | 0.081509 |
Full House | 9 | 216,474,969,996 | 0.010860 | 92.08 | 0.70 | 0.097740 |
Flush | 6 | 226,412,247,120 | 0.011359 | 88.04 | 0.29 | 0.068151 |
Straight | 4 | 254,472,741,540 | 0.012766 | 78.33 | 0.12 | 0.051065 |
Three of a Kind | 3 | 1,500,277,164,324 | 0.075265 | 13.29 | 0.30 | 0.225795 |
Two Pair | 1 | 2,453,055,008,724 | 0.123064 | 8.13 | 0.00 | 0.123064 |
Jacks or Better | 1 | 4,212,339,758,244 | 0.211322 | 4.73 | 0.00 | 0.211322 |
Nothing | 0 | 11,019,826,042,332 | 0.552837 | 1.81 | 0.54 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.24 | 41.98 | 0.989808 |
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 | 494,851,548 | 0.000025 | 40,281.23 | 15.85 | 0.019860 |
Straight Flush | 50 | 2,192,756,952 | 0.000110 | 9,090.49 | 0.26 | 0.005500 |
Four Aces with any 2,3,4 | 400 | 1,227,646,608 | 0.000062 | 16,236.95 | 9.81 | 0.024635 |
Four 2's, 3's, 4's with any A,2,3,4 | 160 | 2,854,320,516 | 0.000143 | 6,983.53 | 3.62 | 0.022911 |
Four Aces | 160 | 3,460,862,004 | 0.000174 | 5,759.61 | 4.39 | 0.027780 |
Four 2's, 3's, 4's | 80 | 7,662,444,216 | 0.000384 | 2,601.42 | 2.40 | 0.030752 |
Four 5's through K's | 50 | 32,481,036,420 | 0.001629 | 613.69 | 3.91 | 0.081475 |
Full House | 9 | 216,441,505,332 | 0.010858 | 92.10 | 0.70 | 0.097725 |
Flush | 6 | 226,705,170,000 | 0.011373 | 87.93 | 0.29 | 0.068239 |
Straight | 4 | 252,988,258,044 | 0.012692 | 78.79 | 0.12 | 0.050767 |
Three of a Kind | 3 | 1,500,036,126,792 | 0.075253 | 13.29 | 0.30 | 0.225759 |
Two Pair | 1 | 2,453,176,008,144 | 0.123070 | 8.13 | 0.00 | 0.123070 |
Jacks or Better | 1 | 4,212,246,819,420 | 0.211318 | 4.73 | 0.00 | 0.211318 |
Nothing | 0 | 11,021,262,711,204 | 0.552909 | 1.81 | 0.54 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.24 | 42.19 | 0.989792 |
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 | AAA |
Pat Hand | Straight; Flush; Full House |
3 of a Kind | 222; 333; 444; 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 | JQK |
1 Pair | KK |
3 to a Royal Flush | TJQ |
1 Pair | JJ; QQ |
4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
3 to a Royal Flush | TJA; TJK; TQA; TQK; TKA; JQA; JKA; QKA |
4 to a Straight | 89TJ; 9TJQ; TJQK |
1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T |
3 to a Straight Flush | 345; 456; 567; 678; 789; 89T; 89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ; 9JK; 9QK |
4 to a Straight | JQKA |
2 to a Royal Flush | JA; JQ; JK; QA; QK; KA |
4 to a Straight | 9JQK; TJQA; TJKA; TQKA |
3 to a Straight Flush | (more)A23; A24; A25; A34; A35; A45; 234; 235; 245; 346; 356; 457; 467; 568... |
3 to a Straight | JQK |
4 to a Straight | 89JQ; 8TJQ; 9TJK; 9TQK |
2 to a Straight | JQ |
Single Card | an Ace |
2 to a Royal Flush | TJ |
2 to a Straight | JK; QK |
3 to a Flush | 2TK; 3TK; 4TK; 5TK; 6TK; 7TK; 8TK |
2 to a Royal Flush | 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) |
Single Card: an Ace | 2 to a Straight: JQ | |
2 to a Royal Flush: TJ | Single Card: an Ace | |
2 to a Straight: JK | 2 to a Royal Flush: TJ | |
4 to a Straight: TJKA | 2 to a Royal Flush: JA | |
4 to a Straight: TQKA | 2 to a Royal Flush: QA | |
4 to a Straight: TJKA | 2 to a Royal Flush: KA | |
4 to a Straight: TQKA | 2 to a Royal Flush: KA | |
4 to a Straight: 9JQK | 2 to a Royal Flush: JK | |
4 to a Straight: TJKA | 2 to a Royal Flush: JK | |
4 to a Straight: 9JQK | 2 to a Royal Flush: QK | |
4 to a Straight: TQKA | 2 to a Royal Flush: QK | |
4 to a Straight: TJQA | 2 to a Royal Flush: JA | |
4 to a Straight: TJQA | 2 to a Royal Flush: QA | |
2 to a Straight: JK | Single Card: an Ace | |
2 to a Straight: QK | Single Card: an Ace | |
1 Pair: JJ | 3 to a Royal Flush: TJQ | |
1 Pair: QQ | 3 to a Royal Flush: TJQ | |
1 Pair: JJ | 3 to a Royal Flush: JQK | |
1 Pair: QQ | 3 to a Royal Flush: JQK | |
1 Pair: KK | 3 to a Royal Flush: JQK |