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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 |
Royal Flush | 800 | 473,734,764 | 0.000024 | 42,076.77 | 15.17 | 0.019013 |
Straight Flush | 50 | 2,173,028,208 | 0.000109 | 9,173.02 | 0.26 | 0.005451 |
Four of a Kind | 80 | 47,021,719,308 | 0.002359 | 423.92 | 14.73 | 0.188717 |
Full House | 8 | 228,970,506,492 | 0.011487 | 87.06 | 0.57 | 0.091895 |
Flush | 6 | 221,668,234,968 | 0.011121 | 89.92 | 0.28 | 0.066723 |
Straight | 4 | 255,648,358,788 | 0.012825 | 77.97 | 0.12 | 0.051301 |
Three of a Kind | 3 | 1,476,259,077,444 | 0.074060 | 13.50 | 0.30 | 0.222181 |
Two Pair | 1 | 2,558,429,783,604 | 0.128350 | 7.79 | 0.00 | 0.128350 |
Jacks or Better | 1 | 4,211,848,249,668 | 0.211298 | 4.73 | 0.00 | 0.211298 |
Nothing | 0 | 10,930,737,823,956 | 0.548368 | 1.82 | 0.53 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.21 | 31.96 | 0.984928 |
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 | 477,851,928 | 0.000024 | 41,714.24 | 15.30 | 0.019178 |
Straight Flush | 50 | 2,177,376,540 | 0.000109 | 9,154.70 | 0.26 | 0.005462 |
Four of a Kind | 80 | 47,005,716,084 | 0.002358 | 424.06 | 14.72 | 0.188653 |
Full House | 8 | 228,931,896,276 | 0.011485 | 87.07 | 0.57 | 0.091879 |
Flush | 6 | 221,971,242,552 | 0.011136 | 89.80 | 0.28 | 0.066814 |
Straight | 4 | 254,880,729,324 | 0.012787 | 78.21 | 0.12 | 0.051147 |
Three of a Kind | 3 | 1,475,887,079,112 | 0.074042 | 13.51 | 0.30 | 0.222125 |
Two Pair | 1 | 2,558,370,001,392 | 0.128347 | 7.79 | 0.00 | 0.128347 |
Jacks or Better | 1 | 4,211,972,955,000 | 0.211304 | 4.73 | 0.00 | 0.211304 |
Nothing | 0 | 10,931,555,668,992 | 0.548409 | 1.82 | 0.53 | 0.000000 |
Totals | 19,933,230,517,200 | 1.000000 | 2.21 | 32.08 | 0.984909 |
The following table shows the basic strategy:
Basic Strategy | |
---|---|
Type of Play | Play Details |
4 of a Kind | (more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK... |
Pat Hand | Full House; Straight Flush; Royal Flush |
4 to a Royal Flush | TJQA; TJQK; TJKA; TQKA; JQKA |
3 of a Kind | 222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA |
Pat Hand | Straight; Flush |
4 to a Straight Flush | (more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567... |
2 Pair | (more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA... |
1 Pair | JJ; QQ; KK; AA |
4 to a Flush | (more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J... |
3 to a Royal Flush | TJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA |
4 to a Straight | 9TJQ; TJQK |
1 Pair | 22; 33; 44; 55; 66; 77; 88; 99; TT |
4 to a Straight | 2345; 3456; 4567; 5678; 6789; 789T; 89TJ |
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; QK |
2 to a Royal Flush | TJ; TQ |
2 to a Straight | JK; QA |
2 to a Straight | JA; KA |
2 to a Royal Flush | TK |
Single Card | a Jack; a Queen; a King; an Ace |
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: a King | 2 to a Royal Flush: TK | |
Single Card: a Jack | 2 to a Straight: JA | |
2 to a Straight: QA | 2 to a Royal Flush: TQ | |
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: TJQA | 2 to a Royal Flush: JA | |
4 to a Straight: TJQA | 2 to a Royal Flush: QA |