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

Perfect Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush768494,201,1240.00002540,334.2514.590.019041
Straight Flush482,113,012,2840.0001069,433.560.230.005088
Four of a Kind3547,106,610,5960.002363423.152.730.082713
Full House8229,538,696,7240.01151586.840.560.092123
Flush5216,248,339,1720.01084992.180.170.054243
Straight4223,477,427,7120.01121189.200.100.044845
Three of a Kind31,484,595,777,8520.07447813.430.300.223435
Two Pair22,577,837,059,8200.1293247.730.130.258647
Jacks or Better14,294,984,401,8280.2154694.640.000.215469
Nothing010,856,834,990,0880.5446601.840.540.000000
Totals19,933,230,517,2001.0000002.2019.360.995604

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

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush768492,283,1520.00002540,491.3914.530.018967
Straight Flush482,097,530,2200.0001059,503.190.230.005051
Four of a Kind3547,112,646,7640.002364423.102.730.082723
Full House8229,561,164,3960.01151786.830.570.092132
Flush5215,749,187,0880.01082492.390.170.054118
Straight4223,104,682,2120.01119389.340.100.044770
Three of a Kind31,484,827,749,2640.07449013.420.300.223470
Two Pair22,578,134,586,9680.1293397.730.130.258677
Jacks or Better14,299,267,419,0640.2156834.640.000.215683
Nothing010,852,883,268,0720.5444621.840.540.000000
Totals19,933,230,517,2001.0000002.2019.300.995592

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandFull House; Straight 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 Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK; AAA
Pat HandStraight; Flush
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
1 PairJJ; QQ; KK; AA
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
4 to a StraightTJQK
1 Pair22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
3 to a Straight Flush8TJ; 9TJ; 9TQ; 9JQ
4 to a StraightJQKA
3 to a Straight Flush8JQ; 9JK; 9QK
2 to a Royal FlushJA; JQ; JK; QK
3 to a Straight Flush456; 567; 678; 789; 89J
2 to a Royal FlushQA
3 to a Straight Flush89T
2 to a Royal FlushKA
3 to a Straight Flush345
4 to a Straight9JQK; TJQA; TJKA; TQKA
3 to a StraightJQK
2 to a StraightJQ
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 689; 78J; 79J; 7TJ; 89Q; 8TQ
2 to a StraightJK; QK
2 to a Royal FlushTJ
2 to a StraightJA
Single Carda Jack
3 to a Straight Flush346; 356; 457; 467; 568; 578; 679; 78T; 79T; 9TK
2 to a StraightQA; KA
3 to a Straight Flush234; 235; 245
2 to a Royal FlushTQ
Single Carda Queen; a King; an Ace
3 to a Straight Flush236; 246; 256; 347; 357; 367; 458; 468; 478; 569; 579; 589; 67T; 68T; 69T
GarbageDiscard 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: TKSingle Card: a King
(more)2♣ 3♣ 4♦ 10♥ K♥
2 to a Royal Flush: TJ2 to a Straight: JK
(more)2♣ 3♣ 10♦ J♦ K♣
2 to a Straight: JA2 to a Royal Flush: TJ
(more)2♣ 8♦ 10♣ J♣ A♦
Single Card: a Queen2 to a Royal Flush: TQ
(more)2♣ 8♦ 9♦ 10♣ Q♣
3 to a Straight Flush: 234Single Card: a Jack
(more)2♣ 3♣ 4♣ 7♦ J♦
3 to a Straight Flush: 235Single Card: a Jack
(more)2♣ 3♣ 5♣ 7♦ J♦
3 to a Straight Flush: 245Single Card: a Jack
(more)2♣ 4♣ 5♣ 7♦ J♦
3 to a Straight Flush: 568Single Card: a Jack
(more)2♣ 5♦ 6♦ 8♦ J♣
3 to a Straight Flush: 578Single Card: a Jack
(more)2♣ 5♦ 7♦ 8♦ J♣
3 to a Straight Flush: 679Single Card: a Jack
(more)2♣ 6♦ 7♦ 9♦ J♣
3 to a Straight Flush: 346Single Card: a Jack
(more)3♣ 4♣ 6♣ 8♦ J♦
3 to a Straight Flush: 356Single Card: a Jack
(more)3♣ 5♣ 6♣ 8♦ J♦
3 to a Straight Flush: 457Single Card: a Jack
(more)2♣ 4♦ 5♦ 7♦ J♣
3 to a Straight Flush: 467Single Card: a Jack
(more)2♣ 4♦ 6♦ 7♦ J♣
2 to a Straight: JK3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ K♦
2 to a Straight: JK3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ K♦
2 to a Straight: JK3 to a Straight Flush: 7TJ
(more)7♣ 8♦ 10♣ J♣ K♦
3 to a Straight Flush: 78TSingle Card: a Jack
(more)2♣ 7♦ 8♦ 10♦ J♣
3 to a Straight Flush: 79TSingle Card: a Jack
(more)2♣ 7♦ 9♦ 10♦ J♣
Single Card: a Queen3 to a Straight Flush: 346
(more)2♣ 3♦ 4♦ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 356
(more)2♣ 3♦ 5♦ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 457
(more)3♣ 4♦ 5♦ 7♦ Q♥
Single Card: a Queen3 to a Straight Flush: 467
(more)3♣ 4♦ 6♦ 7♦ Q♥
Single Card: a Queen3 to a Straight Flush: 568
(more)4♣ 5♦ 6♦ 8♦ Q♥
Single Card: a Queen3 to a Straight Flush: 578
(more)4♣ 5♦ 7♦ 8♦ Q♥
Single Card: an Ace3 to a Straight Flush: 234
(more)2♣ 3♣ 4♣ 6♦ A♦
Single Card: an Ace3 to a Straight Flush: 235
(more)2♣ 3♣ 5♣ 6♦ A♦
Single Card: an Ace3 to a Straight Flush: 245
(more)2♣ 4♣ 5♣ 6♦ A♦
2 to a Straight: QK3 to a Straight Flush: 89Q
(more)8♣ 9♣ 10♦ Q♣ K♦
2 to a Straight: QK3 to a Straight Flush: 8TQ
(more)8♣ 9♦ 10♣ Q♣ K♦
3 to a Straight Flush: 79J2 to a Straight: JQ7♣ 9♣ J♣ Q♦ A♥
3 to a Straight Flush: 78T2 to a Straight: QK7♣ 8♣ 10♣ Q♦ K♥
3 to a Straight Flush: 79T2 to a Straight: QK7♣ 9♣ 10♣ Q♦ K♥
3 to a Straight Flush: 3462 to a Straight: JA3♣ 4♣ 6♣ J♦ A♥
3 to a Straight Flush: 3562 to a Straight: JA3♣ 5♣ 6♣ J♦ A♥
3 to a Straight Flush: 4572 to a Straight: JA4♣ 5♣ 7♣ J♦ A♥
3 to a Straight Flush: 4672 to a Straight: JA4♣ 6♣ 7♣ J♦ A♥
3 to a Straight Flush: 5682 to a Straight: JA5♣ 6♣ 8♣ J♦ A♥
3 to a Straight Flush: 5782 to a Straight: JA5♣ 7♣ 8♣ J♦ A♥
3 to a Straight Flush: 6792 to a Straight: JA6♣ 7♣ 9♣ J♦ A♥
3 to a Straight Flush: 78T2 to a Straight: JA7♣ 8♣ 10♣ J♦ A♥
3 to a Straight Flush: 79T2 to a Straight: JA7♣ 9♣ 10♣ J♦ A♥
Single Card: a Queen3 to a Straight Flush: 2342♣ 3♣ 4♣ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 2352♣ 3♣ 5♣ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 2452♣ 4♣ 5♣ 6♦ Q♥
Single Card: a Queen3 to a Straight Flush: 6795♣ 6♦ 7♦ 9♦ Q♥
Single Card: a Jack3 to a Straight Flush: 6895♣ 6♦ 8♦ 9♦ J♥
Single Card: a Queen3 to a Straight Flush: 6895♣ 6♦ 8♦ 9♦ Q♥
3 to a Straight Flush: 5782 to a Royal Flush: TJ5♣ 7♣ 8♣ 10♦ J♦
3 to a Straight Flush: 4562 to a Royal Flush: JA4♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 5672 to a Royal Flush: JA5♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 6782 to a Royal Flush: JA6♣ 7♣ 8♣ J♦ A♦