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	495,443,136	0.000025	40,233.13	15.87	0.019884
Straight Flush	50	2,129,604,264	0.000107	9,360.06	0.26	0.005342
Four Aces	80	3,903,775,812	0.000196	5,106.14	1.22	0.015667
Four 2's, 3's, 4's	40	10,509,866,328	0.000527	1,896.62	0.80	0.021090
Four 5's through K's	25	32,688,417,336	0.001640	609.79	0.95	0.040997
Full House	8	229,516,869,924	0.011514	86.85	0.57	0.092114
Flush	5	216,873,645,000	0.010880	91.91	0.17	0.054400
Straight	4	223,676,319,912	0.011221	89.12	0.10	0.044885
Three of a Kind	3	1,484,391,167,856	0.074468	13.43	0.30	0.223405
Two Pair	2	2,577,523,603,752	0.129308	7.73	0.13	0.258616
Jacks or Better	1	4,290,810,981,444	0.215259	4.65	0.00	0.215259
Nothing	0	10,860,710,822,436	0.544855	1.84	0.54	0.000000
Totals		19,933,230,517,200	1.000000	2.20	20.90	0.991660

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	492,246,000	0.000025	40,494.45	15.77	0.019756
Straight Flush	50	2,105,748,036	0.000106	9,466.10	0.25	0.005282
Four Aces	80	3,910,852,236	0.000196	5,096.90	1.22	0.015696
Four 2's, 3's, 4's	40	10,510,364,268	0.000527	1,896.53	0.80	0.021091
Four 5's through K's	25	32,690,360,076	0.001640	609.76	0.95	0.041000
Full House	8	229,553,390,340	0.011516	86.83	0.57	0.092129
Flush	5	216,000,342,864	0.010836	92.28	0.17	0.054181
Straight	4	222,819,869,820	0.011178	89.46	0.10	0.044713
Three of a Kind	3	1,484,764,091,892	0.074487	13.43	0.30	0.223461
Two Pair	2	2,578,014,246,996	0.129332	7.73	0.13	0.258665
Jacks or Better	1	4,297,957,998,372	0.215618	4.64	0.00	0.215618
Nothing	0	10,854,411,006,300	0.544538	1.84	0.54	0.000000
Totals		19,933,230,517,200	1.000000	2.20	20.80	0.991591

The following table shows the basic strategy:

Basic Strategy
Type of Play	Play Details
Pat Hand	Full House; Straight Flush; Royal Flush
4 of a Kind	(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK... (less)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK; AAAA
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
2 Pair	(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA... (less)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA; 3344; 3355; 3366; 3377; 3388; 3399; 33TT; 33JJ; 33QQ; 33KK; 33AA; 4455; 4466; 4477; 4488; 4499; 44TT; 44JJ; 44QQ; 44KK; 44AA; 5566; 5577; 5588; 5599; 55TT; 55JJ; 55QQ; 55KK; 55AA; 6677; 6688; 6699; 66TT; 66JJ; 66QQ; 66KK; 66AA; 7788; 7799; 77TT; 77JJ; 77QQ; 77KK; 77AA; 8899; 88TT; 88JJ; 88QQ; 88KK; 88AA; 99TT; 99JJ; 99QQ; 99KK; 99AA; TTJJ; TTQQ; TTKK; TTAA; JJQQ; JJKK; JJAA; QQKK; QQAA; KKAA
4 to a Straight Flush	(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567... (less)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567; 4567; 4568; 4578; 4678; 5678; 5679; 5689; 5789; 6789; 678T; 679T; 689T; 789T; 789J; 78TJ; 79TJ; 89TJ; 89TQ; 89JQ; 8TJQ; 9TJQ; 9TJK; 9TQK; 9JQK
1 Pair	JJ; QQ; KK; AA
3 to a Royal Flush	TJA; 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... (less)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J; 235Q; 235K; 236A; 2367; 2368; 2369; 236T; 236J; 236Q; 236K; 237A; 2378; 2379; 237T; 237J; 237Q; 237K; 238A; 2389; 238T; 238J; 238Q; 238K; 239A; 239T; 239J; 239Q; 239K; 23TA; 23TJ; 23TQ; 23TK; 23JA; 23JQ; 23JK; 23QA; 23QK; 23KA; 2457; 2458; 2459; 245T; 245J; 245Q; 245K; 246A; 2467; 2468; 2469; 246T; 246J; 246Q; 246K; 247A; 2478; 2479; 247T; 247J; 247Q; 247K; 248A; 2489; 248T; 248J; 248Q; 248K; 249A; 249T; 249J; 249Q; 249K; 24TA; 24TJ; 24TQ; 24TK; 24JA; 24JQ; 24JK; 24QA; 24QK; 24KA; 256A; 2567; 2568; 2569; 256T; 256J; 256Q; 256K; 257A; 2578; 2579; 257T; 257J; 257Q; 257K; 258A; 2589; 258T; 258J; 258Q; 258K; 259A; 259T; 259J; 259Q; 259K; 25TA; 25TJ; 25TQ; 25TK; 25JA; 25JQ; 25JK; 25QA; 25QK; 25KA; 267A; 2678; 2679; 267T; 267J; 267Q; 267K; 268A; 2689; 268T; 268J; 268Q; 268K; 269A; 269T; 269J; 269Q; 269K; 26TA; 26TJ; 26TQ; 26TK; 26JA; 26JQ; 26JK; 26QA; 26QK; 26KA; 278A; 2789; 278T; 278J; 278Q; 278K; 279A; 279T; 279J; 279Q; 279K; 27TA; 27TJ; 27TQ; 27TK; 27JA; 27JQ; 27JK; 27QA; 27QK; 27KA; 289A; 289T; 289J; 289Q; 289K; 28TA; 28TJ; 28TQ; 28TK; 28JA; 28JQ; 28JK; 28QA; 28QK; 28KA; 29TA; 29TJ; 29TQ; 29TK; 29JA; 29JQ; 29JK; 29QA; 29QK; 29KA; 3458; 3459; 345T; 345J; 345Q; 345K; 346A; 3468; 3469; 346T; 346J; 346Q; 346K; 347A; 3478; 3479; 347T; 347J; 347Q; 347K; 348A; 3489; 348T; 348J; 348Q; 348K; 349A; 349T; 349J; 349Q; 349K; 34TA; 34TJ; 34TQ; 34TK; 34JA; 34JQ; 34JK; 34QA; 34QK; 34KA; 356A; 3568; 3569; 356T; 356J; 356Q; 356K; 357A; 3578; 3579; 357T; 357J; 357Q; 357K; 358A; 3589; 358T; 358J; 358Q; 358K; 359A; 359T; 359J; 359Q; 359K; 35TA; 35TJ; 35TQ; 35TK; 35JA; 35JQ; 35JK; 35QA; 35QK; 35KA; 367A; 3678; 3679; 367T; 367J; 367Q; 367K; 368A; 3689; 368T; 368J; 368Q; 368K; 369A; 369T; 369J; 369Q; 369K; 36TA; 36TJ; 36TQ; 36TK; 36JA; 36JQ; 36JK; 36QA; 36QK; 36KA; 378A; 3789; 378T; 378J; 378Q; 378K; 379A; 379T; 379J; 379Q; 379K; 37TA; 37TJ; 37TQ; 37TK; 37JA; 37JQ; 37JK; 37QA; 37QK; 37KA; 389A; 389T; 389J; 389Q; 389K; 38TA; 38TJ; 38TQ; 38TK; 38JA; 38JQ; 38JK; 38QA; 38QK; 38KA; 39TA; 39TJ; 39TQ; 39TK; 39JA; 39JQ; 39JK; 39QA; 39QK; 39KA; 456A; 4569; 456T; 456J; 456Q; 456K; 457A; 4579; 457T; 457J; 457Q; 457K; 458A; 4589; 458T; 458J; 458Q; 458K; 459A; 459T; 459J; 459Q; 459K; 45TA; 45TJ; 45TQ; 45TK; 45JA; 45JQ; 45JK; 45QA; 45QK; 45KA; 467A; 4679; 467T; 467J; 467Q; 467K; 468A; 4689; 468T; 468J; 468Q; 468K; 469A; 469T; 469J; 469Q; 469K; 46TA; 46TJ; 46TQ; 46TK; 46JA; 46JQ; 46JK; 46QA; 46QK; 46KA; 478A; 4789; 478T; 478J; 478Q; 478K; 479A; 479T; 479J; 479Q; 479K; 47TA; 47TJ; 47TQ; 47TK; 47JA; 47JQ; 47JK; 47QA; 47QK; 47KA; 489A; 489T; 489J; 489Q; 489K; 48TA; 48TJ; 48TQ; 48TK; 48JA; 48JQ; 48JK; 48QA; 48QK; 48KA; 49TA; 49TJ; 49TQ; 49TK; 49JA; 49JQ; 49JK; 49QA; 49QK; 49KA; 567A; 567T; 567J; 567Q; 567K; 568A; 568T; 568J; 568Q; 568K; 569A; 569T; 569J; 569Q; 569K; 56TA; 56TJ; 56TQ; 56TK; 56JA; 56JQ; 56JK; 56QA; 56QK; 56KA; 578A; 578T; 578J; 578Q; 578K; 579A; 579T; 579J; 579Q; 579K; 57TA; 57TJ; 57TQ; 57TK; 57JA; 57JQ; 57JK; 57QA; 57QK; 57KA; 589A; 589T; 589J; 589Q; 589K; 58TA; 58TJ; 58TQ; 58TK; 58JA; 58JQ; 58JK; 58QA; 58QK; 58KA; 59TA; 59TJ; 59TQ; 59TK; 59JA; 59JQ; 59JK; 59QA; 59QK; 59KA; 678A; 678J; 678Q; 678K; 679A; 679J; 679Q; 679K; 67TA; 67TJ; 67TQ; 67TK; 67JA; 67JQ; 67JK; 67QA; 67QK; 67KA; 689A; 689J; 689Q; 689K; 68TA; 68TJ; 68TQ; 68TK; 68JA; 68JQ; 68JK; 68QA; 68QK; 68KA; 69TA; 69TJ; 69TQ; 69TK; 69JA; 69JQ; 69JK; 69QA; 69QK; 69KA; 789A; 789Q; 789K; 78TA; 78TQ; 78TK; 78JA; 78JQ; 78JK; 78QA; 78QK; 78KA; 79TA; 79TQ; 79TK; 79JA; 79JQ; 79JK; 79QA; 79QK; 79KA; 89TA; 89TK; 89JA; 89JK; 89QA; 89QK; 89KA
4 to a Straight	TJQK
1 Pair	22; 33; 44; 55; 66; 77; 88; 99; TT
4 to a Straight	2345; 3456; 4567; 5678; 6789; 789T; 89TJ; 9TJQ
3 to a Straight Flush	89J; 8TJ; 8JQ; 9TJ; 9TQ; 9JQ
4 to a Straight	JQKA
3 to a Straight Flush	9JK; 9QK
2 to a Royal Flush	JA; JQ; JK; QK
3 to a Straight Flush	456; 567; 678; 789; 89T
2 to a Royal Flush	QA; KA
3 to a Straight Flush	345
4 to a Straight	9JQK; TJQA; TJKA; TQKA
3 to a Straight	JQK
2 to a Straight	JQ
3 to a Straight Flush	A23; A24; A25; A34; A35; A45; 568; 578; 689; 78J; 79J; 7TJ; 89Q; 8TQ; 9TK
2 to a Straight	JK; QA
2 to a Straight	KA
2 to a Royal Flush	TJ
2 to a Straight	JA
Single Card	an Ace
3 to a Straight Flush	234; 235; 245; 346; 356; 457; 467; 679; 78T; 79T
2 to a Straight	QK
2 to a Royal Flush	TQ
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
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 Straight: QK	2 to a Straight: QA	(more)2♣ 3♣ Q♣ K♦ A♥ (less)2♣ 3♣ Q♣ K♦ A♥ 2♣ 3♣ Q♦ K♣ A♥ 2♣ 3♣ Q♦ K♥ A♠ 2♣ 3♦ Q♣ K♦ A♥ 2♣ 3♦ Q♣ K♥ A♦ 2♣ 3♦ Q♣ K♥ A♠ 2♣ 3♦ Q♦ K♣ A♥ 2♣ 3♦ Q♦ K♥ A♣ 2♣ 3♦ Q♦ K♥ A♠ 2♣ 3♦ Q♥ K♣ A♦ 2♣ 3♦ Q♥ K♣ A♠ 2♣ 3♦ Q♥ K♦ A♣ 2♣ 3♦ Q♥ K♦ A♠ 2♣ 3♦ Q♥ K♠ A♣ 2♣ 3♦ Q♥ K♠ A♦ 2♣ 4♣ Q♣ K♦ A♥ 2♣ 4♣ Q♦ K♣ A♥ 2♣ 4♣ Q♦ K♥ A♠ 2♣ 4♦ Q♣ K♦ A♥ 2♣ 4♦ Q♣ K♥ A♦ 2♣ 4♦ Q♣ K♥ A♠ 2♣ 4♦ Q♦ K♣ A♥ 2♣ 4♦ Q♦ K♥ A♣ 2♣ 4♦ Q♦ K♥ A♠ 2♣ 4♦ Q♥ K♣ A♦ 2♣ 4♦ Q♥ K♣ A♠ 2♣ 4♦ Q♥ K♦ A♣ 2♣ 4♦ Q♥ K♦ A♠ 2♣ 4♦ Q♥ K♠ A♣ 2♣ 4♦ Q♥ K♠ A♦ 3♣ 4♣ Q♣ K♦ A♥ 3♣ 4♣ Q♦ K♣ A♥ 3♣ 4♣ Q♦ K♥ A♠ 3♣ 4♦ Q♣ K♦ A♥ 3♣ 4♦ Q♣ K♥ A♦ 3♣ 4♦ Q♣ K♥ A♠ 3♣ 4♦ Q♦ K♣ A♥ 3♣ 4♦ Q♦ K♥ A♣ 3♣ 4♦ Q♦ K♥ A♠ 3♣ 4♦ Q♥ K♣ A♦ 3♣ 4♦ Q♥ K♣ A♠ 3♣ 4♦ Q♥ K♦ A♣ 3♣ 4♦ Q♥ K♦ A♠ 3♣ 4♦ Q♥ K♠ A♣ 3♣ 4♦ Q♥ K♠ A♦ 2♣ 5♣ Q♣ K♦ A♥ 2♣ 5♣ Q♦ K♣ A♥ 2♣ 5♣ Q♦ K♥ A♠ 2♣ 5♦ Q♣ K♦ A♥ 2♣ 5♦ Q♣ K♥ A♦ 2♣ 5♦ Q♣ K♥ A♠ 2♣ 5♦ Q♦ K♣ A♥ 2♣ 5♦ Q♦ K♥ A♣ 2♣ 5♦ Q♦ K♥ A♠ 2♣ 5♦ Q♥ K♣ A♦ 2♣ 5♦ Q♥ K♣ A♠ 2♣ 5♦ Q♥ K♦ A♣ 2♣ 5♦ Q♥ K♦ A♠ 2♣ 5♦ Q♥ K♠ A♣ 2♣ 5♦ Q♥ K♠ A♦ 3♣ 5♣ Q♣ K♦ A♥ 3♣ 5♣ Q♦ K♣ A♥ 3♣ 5♣ Q♦ K♥ A♠ 3♣ 5♦ Q♣ K♦ A♥ 3♣ 5♦ Q♣ K♥ A♦ 3♣ 5♦ Q♣ K♥ A♠ 3♣ 5♦ Q♦ K♣ A♥ 3♣ 5♦ Q♦ K♥ A♣ 3♣ 5♦ Q♦ K♥ A♠ 3♣ 5♦ Q♥ K♣ A♦ 3♣ 5♦ Q♥ K♣ A♠ 3♣ 5♦ Q♥ K♦ A♣ 3♣ 5♦ Q♥ K♦ A♠ 3♣ 5♦ Q♥ K♠ A♣ 3♣ 5♦ Q♥ K♠ A♦ 4♣ 5♣ Q♣ K♦ A♥ 4♣ 5♣ Q♦ K♣ A♥ 4♣ 5♣ Q♦ K♥ A♠ 4♣ 5♦ Q♣ K♦ A♥ 4♣ 5♦ Q♣ K♥ A♦ 4♣ 5♦ Q♣ K♥ A♠ 4♣ 5♦ Q♦ K♣ A♥ 4♣ 5♦ Q♦ K♥ A♣ 4♣ 5♦ Q♦ K♥ A♠ 4♣ 5♦ Q♥ K♣ A♦ 4♣ 5♦ Q♥ K♣ A♠ 4♣ 5♦ Q♥ K♦ A♣ 4♣ 5♦ Q♥ K♦ A♠ 4♣ 5♦ Q♥ K♠ A♣ 4♣ 5♦ Q♥ K♠ A♦ 2♣ 6♣ Q♣ K♦ A♥ 2♣ 6♣ Q♦ K♣ A♥ 2♣ 6♣ Q♦ K♥ A♣ 2♣ 6♣ Q♦ K♥ A♠ 2♣ 6♦ Q♣ K♦ A♥ 2♣ 6♦ Q♣ K♥ A♦ 2♣ 6♦ Q♣ K♥ A♠ 2♣ 6♦ Q♦ K♣ A♥ 2♣ 6♦ Q♦ K♥ A♣ 2♣ 6♦ Q♦ K♥ A♠ 2♣ 6♦ Q♥ K♣ A♦ 2♣ 6♦ Q♥ K♣ A♠ 2♣ 6♦ Q♥ K♦ A♣ 2♣ 6♦ Q♥ K♦ A♠ 2♣ 6♦ Q♥ K♠ A♣ 2♣ 6♦ Q♥ K♠ A♦ 3♣ 6♣ Q♣ K♦ A♥ 3♣ 6♣ Q♦ K♣ A♥ 3♣ 6♣ Q♦ K♥ A♣ 3♣ 6♣ Q♦ K♥ A♠ 3♣ 6♦ Q♣ K♦ A♥ 3♣ 6♦ Q♣ K♥ A♦ 3♣ 6♦ Q♣ K♥ A♠ 3♣ 6♦ Q♦ K♣ A♥ 3♣ 6♦ Q♦ K♥ A♣ 3♣ 6♦ Q♦ K♥ A♠ 3♣ 6♦ Q♥ K♣ A♦ 3♣ 6♦ Q♥ K♣ A♠ 3♣ 6♦ Q♥ K♦ A♣ 3♣ 6♦ Q♥ K♦ A♠ 3♣ 6♦ Q♥ K♠ A♣ 3♣ 6♦ Q♥ K♠ A♦ 4♣ 6♣ Q♣ K♦ A♥ 4♣ 6♣ Q♦ K♣ A♥ 4♣ 6♣ Q♦ K♥ A♣ 4♣ 6♣ Q♦ K♥ A♠ 4♣ 6♦ Q♣ K♦ A♥ 4♣ 6♦ Q♣ K♥ A♦ 4♣ 6♦ Q♣ K♥ A♠ 4♣ 6♦ Q♦ K♣ A♥ 4♣ 6♦ Q♦ K♥ A♣ 4♣ 6♦ Q♦ K♥ A♠ 4♣ 6♦ Q♥ K♣ A♦ 4♣ 6♦ Q♥ K♣ A♠ 4♣ 6♦ Q♥ K♦ A♣ 4♣ 6♦ Q♥ K♦ A♠ 4♣ 6♦ Q♥ K♠ A♣ 4♣ 6♦ Q♥ K♠ A♦ 5♣ 6♣ Q♣ K♦ A♥ 5♣ 6♣ Q♦ K♣ A♥ 5♣ 6♣ Q♦ K♥ A♣ 5♣ 6♣ Q♦ K♥ A♠ 5♣ 6♦ Q♣ K♦ A♥ 5♣ 6♦ Q♣ K♥ A♦ 5♣ 6♦ Q♣ K♥ A♠ 5♣ 6♦ Q♦ K♣ A♥ 5♣ 6♦ Q♦ K♥ A♣ 5♣ 6♦ Q♦ K♥ A♠ 5♣ 6♦ Q♥ K♣ A♦ 5♣ 6♦ Q♥ K♣ A♠ 5♣ 6♦ Q♥ K♦ A♣ 5♣ 6♦ Q♥ K♦ A♠ 5♣ 6♦ Q♥ K♠ A♣ 5♣ 6♦ Q♥ K♠ A♦ 2♣ 7♣ Q♣ K♦ A♥ 2♣ 7♣ Q♦ K♣ A♥ 2♣ 7♣ Q♦ K♥ A♣ 2♣ 7♣ Q♦ K♥ A♠ 2♣ 7♦ Q♣ K♦ A♥ 2♣ 7♦ Q♣ K♥ A♦ 2♣ 7♦ Q♣ K♥ A♠ 2♣ 7♦ Q♦ K♣ A♥ 2♣ 7♦ Q♦ K♥ A♣ 2♣ 7♦ Q♦ K♥ A♠ 2♣ 7♦ Q♥ K♣ A♦ 2♣ 7♦ Q♥ K♣ A♠ 2♣ 7♦ Q♥ K♦ A♣ 2♣ 7♦ Q♥ K♦ A♠ 2♣ 7♦ Q♥ K♠ A♣ 2♣ 7♦ Q♥ K♠ A♦ 3♣ 7♣ Q♣ K♦ A♥ 3♣ 7♣ Q♦ K♣ A♥ 3♣ 7♣ Q♦ K♥ A♣ 3♣ 7♣ Q♦ K♥ A♠ 3♣ 7♦ Q♣ K♦ A♥ 3♣ 7♦ Q♣ K♥ A♦ 3♣ 7♦ Q♣ K♥ A♠ 3♣ 7♦ Q♦ K♣ A♥ 3♣ 7♦ Q♦ K♥ A♣ 3♣ 7♦ Q♦ K♥ A♠ 3♣ 7♦ Q♥ K♣ A♦ 3♣ 7♦ Q♥ K♣ A♠ 3♣ 7♦ Q♥ K♦ A♣ 3♣ 7♦ Q♥ K♦ A♠ 3♣ 7♦ Q♥ K♠ A♣ 3♣ 7♦ Q♥ K♠ A♦ 4♣ 7♣ Q♣ K♦ A♥ 4♣ 7♣ Q♦ K♣ A♥ 4♣ 7♣ Q♦ K♥ A♣ 4♣ 7♣ Q♦ K♥ A♠ 4♣ 7♦ Q♣ K♦ A♥ 4♣ 7♦ Q♣ K♥ A♦ 4♣ 7♦ Q♣ K♥ A♠ 4♣ 7♦ Q♦ K♣ A♥ 4♣ 7♦ Q♦ K♥ A♣ 4♣ 7♦ Q♦ K♥ A♠ 4♣ 7♦ Q♥ K♣ A♦ 4♣ 7♦ Q♥ K♣ A♠ 4♣ 7♦ Q♥ K♦ A♣ 4♣ 7♦ Q♥ K♦ A♠ 4♣ 7♦ Q♥ K♠ A♣ 4♣ 7♦ Q♥ K♠ A♦ 5♣ 7♣ Q♣ K♦ A♥ 5♣ 7♣ Q♦ K♣ A♥ 5♣ 7♣ Q♦ K♥ A♣ 5♣ 7♣ Q♦ K♥ A♠ 5♣ 7♦ Q♣ K♦ A♥ 5♣ 7♦ Q♣ K♥ A♦ 5♣ 7♦ Q♣ K♥ A♠ 5♣ 7♦ Q♦ K♣ A♥ 5♣ 7♦ Q♦ K♥ A♣ 5♣ 7♦ Q♦ K♥ A♠ 5♣ 7♦ Q♥ K♣ A♦ 5♣ 7♦ Q♥ K♣ A♠ 5♣ 7♦ Q♥ K♦ A♣ 5♣ 7♦ Q♥ K♦ A♠ 5♣ 7♦ Q♥ K♠ A♣ 5♣ 7♦ Q♥ K♠ A♦ 6♣ 7♣ Q♣ K♦ A♥ 6♣ 7♣ Q♦ K♣ A♥ 6♣ 7♣ Q♦ K♥ A♣ 6♣ 7♣ Q♦ K♥ A♠ 6♣ 7♦ Q♣ K♦ A♥ 6♣ 7♦ Q♣ K♥ A♦ 6♣ 7♦ Q♣ K♥ A♠ 6♣ 7♦ Q♦ K♣ A♥ 6♣ 7♦ Q♦ K♥ A♣ 6♣ 7♦ Q♦ K♥ A♠ 6♣ 7♦ Q♥ K♣ A♦ 6♣ 7♦ Q♥ K♣ A♠ 6♣ 7♦ Q♥ K♦ A♣ 6♣ 7♦ Q♥ K♦ A♠ 6♣ 7♦ Q♥ K♠ A♣ 6♣ 7♦ Q♥ K♠ A♦ 2♣ 8♣ Q♣ K♦ A♥ 2♣ 8♣ Q♦ K♣ A♥ 2♣ 8♣ Q♦ K♥ A♣ 2♣ 8♣ Q♦ K♥ A♠ 2♣ 8♦ Q♣ K♦ A♥ 2♣ 8♦ Q♣ K♥ A♦ 2♣ 8♦ Q♣ K♥ A♠ 2♣ 8♦ Q♦ K♣ A♥ 2♣ 8♦ Q♦ K♥ A♣ 2♣ 8♦ Q♦ K♥ A♠ 2♣ 8♦ Q♥ K♣ A♦ 2♣ 8♦ Q♥ K♣ A♠ 2♣ 8♦ Q♥ K♦ A♣ 2♣ 8♦ Q♥ K♦ A♠ 2♣ 8♦ Q♥ K♠ A♣ 2♣ 8♦ Q♥ K♠ A♦ 3♣ 8♣ Q♣ K♦ A♥ 3♣ 8♣ Q♦ K♣ A♥ 3♣ 8♣ Q♦ K♥ A♣ 3♣ 8♣ Q♦ K♥ A♠ 3♣ 8♦ Q♣ K♦ A♥ 3♣ 8♦ Q♣ K♥ A♦ 3♣ 8♦ Q♣ K♥ A♠ 3♣ 8♦ Q♦ K♣ A♥ 3♣ 8♦ Q♦ K♥ A♣ 3♣ 8♦ Q♦ K♥ A♠ 3♣ 8♦ Q♥ K♣ A♦ 3♣ 8♦ Q♥ K♣ A♠ 3♣ 8♦ Q♥ K♦ A♣ 3♣ 8♦ Q♥ K♦ A♠ 3♣ 8♦ Q♥ K♠ A♣ 3♣ 8♦ Q♥ K♠ A♦ 4♣ 8♣ Q♣ K♦ A♥ 4♣ 8♣ Q♦ K♣ A♥ 4♣ 8♣ Q♦ K♥ A♣ 4♣ 8♣ Q♦ K♥ A♠ 4♣ 8♦ Q♣ K♦ A♥ 4♣ 8♦ Q♣ K♥ A♦ 4♣ 8♦ Q♣ K♥ A♠ 4♣ 8♦ Q♦ K♣ A♥ 4♣ 8♦ Q♦ K♥ A♣ 4♣ 8♦ Q♦ K♥ A♠ 4♣ 8♦ Q♥ K♣ A♦ 4♣ 8♦ Q♥ K♣ A♠ 4♣ 8♦ Q♥ K♦ A♣ 4♣ 8♦ Q♥ K♦ A♠ 4♣ 8♦ Q♥ K♠ A♣ 4♣ 8♦ Q♥ K♠ A♦ 5♣ 8♣ Q♣ K♦ A♥ 5♣ 8♣ Q♦ K♣ A♥ 5♣ 8♣ Q♦ K♥ A♣ 5♣ 8♣ Q♦ K♥ A♠ 5♣ 8♦ Q♣ K♦ A♥ 5♣ 8♦ Q♣ K♥ A♦ 5♣ 8♦ Q♣ K♥ A♠ 5♣ 8♦ Q♦ K♣ A♥ 5♣ 8♦ Q♦ K♥ A♣ 5♣ 8♦ Q♦ K♥ A♠ 5♣ 8♦ Q♥ K♣ A♦ 5♣ 8♦ Q♥ K♣ A♠ 5♣ 8♦ Q♥ K♦ A♣ 5♣ 8♦ Q♥ K♦ A♠ 5♣ 8♦ Q♥ K♠ A♣ 5♣ 8♦ Q♥ K♠ A♦ 6♣ 8♣ Q♣ K♦ A♥ 6♣ 8♣ Q♦ K♣ A♥ 6♣ 8♣ Q♦ K♥ A♣ 6♣ 8♣ Q♦ K♥ A♠ 6♣ 8♦ Q♣ K♦ A♥ 6♣ 8♦ Q♣ K♥ A♦ 6♣ 8♦ Q♣ K♥ A♠ 6♣ 8♦ Q♦ K♣ A♥ 6♣ 8♦ Q♦ K♥ A♣ 6♣ 8♦ Q♦ K♥ A♠ 6♣ 8♦ Q♥ K♣ A♦ 6♣ 8♦ Q♥ K♣ A♠ 6♣ 8♦ Q♥ K♦ A♣ 6♣ 8♦ Q♥ K♦ A♠ 6♣ 8♦ Q♥ K♠ A♣ 6♣ 8♦ Q♥ K♠ A♦ 7♣ 8♣ Q♣ K♦ A♥ 7♣ 8♣ Q♦ K♣ A♥ 7♣ 8♣ Q♦ K♥ A♣ 7♣ 8♣ Q♦ K♥ A♠ 7♣ 8♦ Q♣ K♦ A♥ 7♣ 8♦ Q♣ K♥ A♦ 7♣ 8♦ Q♣ K♥ A♠ 7♣ 8♦ Q♦ K♣ A♥ 7♣ 8♦ Q♦ K♥ A♣ 7♣ 8♦ Q♦ K♥ A♠ 7♣ 8♦ Q♥ K♣ A♦ 7♣ 8♦ Q♥ K♣ A♠ 7♣ 8♦ Q♥ K♦ A♣ 7♣ 8♦ Q♥ K♦ A♠ 7♣ 8♦ Q♥ K♠ A♣ 7♣ 8♦ Q♥ K♠ A♦ 2♣ 9♣ Q♣ K♦ A♥ 2♣ 9♣ Q♦ K♣ A♥ 2♣ 9♣ Q♦ K♥ A♣ 2♣ 9♣ Q♦ K♥ A♠ 2♣ 9♦ Q♣ K♦ A♥ 2♣ 9♦ Q♣ K♥ A♦ 2♣ 9♦ Q♣ K♥ A♠ 2♣ 9♦ Q♦ K♣ A♥ 2♣ 9♦ Q♦ K♥ A♣ 2♣ 9♦ Q♦ K♥ A♠ 2♣ 9♦ Q♥ K♣ A♦ 2♣ 9♦ Q♥ K♣ A♠ 2♣ 9♦ Q♥ K♦ A♣ 2♣ 9♦ Q♥ K♦ A♠ 2♣ 9♦ Q♥ K♠ A♣ 2♣ 9♦ Q♥ K♠ A♦ 3♣ 9♣ Q♣ K♦ A♥ 3♣ 9♣ Q♦ K♣ A♥ 3♣ 9♣ Q♦ K♥ A♣ 3♣ 9♣ Q♦ K♥ A♠ 3♣ 9♦ Q♣ K♦ A♥ 3♣ 9♦ Q♣ K♥ A♦ 3♣ 9♦ Q♣ K♥ A♠ 3♣ 9♦ Q♦ K♣ A♥ 3♣ 9♦ Q♦ K♥ A♣ 3♣ 9♦ Q♦ K♥ A♠ 3♣ 9♦ Q♥ K♣ A♦ 3♣ 9♦ Q♥ K♣ A♠ 3♣ 9♦ Q♥ K♦ A♣ 3♣ 9♦ Q♥ K♦ A♠ 3♣ 9♦ Q♥ K♠ A♣ 3♣ 9♦ Q♥ K♠ A♦ 4♣ 9♣ Q♣ K♦ A♥ 4♣ 9♣ Q♦ K♣ A♥ 4♣ 9♣ Q♦ K♥ A♣ 4♣ 9♣ Q♦ K♥ A♠ 4♣ 9♦ Q♣ K♦ A♥ 4♣ 9♦ Q♣ K♥ A♦ 4♣ 9♦ Q♣ K♥ A♠ 4♣ 9♦ Q♦ K♣ A♥ 4♣ 9♦ Q♦ K♥ A♣ 4♣ 9♦ Q♦ K♥ A♠ 4♣ 9♦ Q♥ K♣ A♦ 4♣ 9♦ Q♥ K♣ A♠ 4♣ 9♦ Q♥ K♦ A♣ 4♣ 9♦ Q♥ K♦ A♠ 4♣ 9♦ Q♥ K♠ A♣ 4♣ 9♦ Q♥ K♠ A♦ 5♣ 9♣ Q♣ K♦ A♥ 5♣ 9♣ Q♦ K♣ A♥ 5♣ 9♣ Q♦ K♥ A♣ 5♣ 9♣ Q♦ K♥ A♠ 5♣ 9♦ Q♣ K♦ A♥ 5♣ 9♦ Q♣ K♥ A♦ 5♣ 9♦ Q♣ K♥ A♠ 5♣ 9♦ Q♦ K♣ A♥ 5♣ 9♦ Q♦ K♥ A♣ 5♣ 9♦ Q♦ K♥ A♠ 5♣ 9♦ Q♥ K♣ A♦ 5♣ 9♦ Q♥ K♣ A♠ 5♣ 9♦ Q♥ K♦ A♣ 5♣ 9♦ Q♥ K♦ A♠ 5♣ 9♦ Q♥ K♠ A♣ 5♣ 9♦ Q♥ K♠ A♦ 6♣ 9♣ Q♣ K♦ A♥ 6♣ 9♣ Q♦ K♣ A♥ 6♣ 9♣ Q♦ K♥ A♣ 6♣ 9♣ Q♦ K♥ A♠ 6♣ 9♦ Q♣ K♦ A♥ 6♣ 9♦ Q♣ K♥ A♦ 6♣ 9♦ Q♣ K♥ A♠ 6♣ 9♦ Q♦ K♣ A♥ 6♣ 9♦ Q♦ K♥ A♣ 6♣ 9♦ Q♦ K♥ A♠ 6♣ 9♦ Q♥ K♣ A♦ 6♣ 9♦ Q♥ K♣ A♠ 6♣ 9♦ Q♥ K♦ A♣ 6♣ 9♦ Q♥ K♦ A♠ 6♣ 9♦ Q♥ K♠ A♣ 6♣ 9♦ Q♥ K♠ A♦ 7♣ 9♣ Q♣ K♦ A♥ 7♣ 9♣ Q♦ K♣ A♥ 7♣ 9♣ Q♦ K♥ A♣ 7♣ 9♣ Q♦ K♥ A♠ 7♣ 9♦ Q♣ K♦ A♥ 7♣ 9♦ Q♣ K♥ A♦ 7♣ 9♦ Q♣ K♥ A♠ 7♣ 9♦ Q♦ K♣ A♥ 7♣ 9♦ Q♦ K♥ A♣ 7♣ 9♦ Q♦ K♥ A♠ 7♣ 9♦ Q♥ K♣ A♦ 7♣ 9♦ Q♥ K♣ A♠ 7♣ 9♦ Q♥ K♦ A♣ 7♣ 9♦ Q♥ K♦ A♠ 7♣ 9♦ Q♥ K♠ A♣ 7♣ 9♦ Q♥ K♠ A♦ 8♣ 9♣ Q♦ K♣ A♥ 8♣ 9♣ Q♦ K♥ A♣ 8♣ 9♣ Q♦ K♥ A♠ 8♣ 9♦ Q♣ K♦ A♥ 8♣ 9♦ Q♣ K♥ A♦ 8♣ 9♦ Q♣ K♥ A♠ 8♣ 9♦ Q♦ K♣ A♥ 8♣ 9♦ Q♦ K♥ A♣ 8♣ 9♦ Q♦ K♥ A♠ 8♣ 9♦ Q♥ K♣ A♦ 8♣ 9♦ Q♥ K♣ A♠ 8♣ 9♦ Q♥ K♦ A♣ 8♣ 9♦ Q♥ K♦ A♠ 8♣ 9♦ Q♥ K♠ A♣ 8♣ 9♦ Q♥ K♠ A♦
2 to a Royal Flush: TK	Single Card: a King	(more)2♣ 3♣ 4♦ 10♥ K♥ (less)2♣ 3♣ 4♦ 10♥ K♥ 2♣ 3♦ 4♣ 10♥ K♥ 2♣ 3♦ 4♦ 10♥ K♥ 2♣ 3♦ 4♥ 10♠ K♠ 2♣ 3♣ 5♦ 10♥ K♥ 2♣ 3♦ 5♣ 10♥ K♥ 2♣ 3♦ 5♦ 10♥ K♥ 2♣ 3♦ 5♥ 10♠ K♠ 2♣ 4♣ 5♦ 10♥ K♥ 2♣ 4♦ 5♣ 10♥ K♥ 2♣ 4♦ 5♦ 10♥ K♥ 2♣ 4♦ 5♥ 10♠ K♠ 3♣ 4♣ 5♦ 10♥ K♥ 3♣ 4♦ 5♣ 10♥ K♥ 3♣ 4♦ 5♦ 10♥ K♥ 3♣ 4♦ 5♥ 10♠ K♠ 2♣ 3♣ 6♣ 10♦ K♦ 2♣ 3♣ 6♦ 10♥ K♥ 2♣ 3♦ 6♣ 10♥ K♥ 2♣ 3♦ 6♦ 10♥ K♥ 2♣ 3♦ 6♥ 10♠ K♠ 2♣ 4♣ 6♣ 10♦ K♦ 2♣ 4♣ 6♦ 10♥ K♥ 2♣ 4♦ 6♣ 10♥ K♥ 2♣ 4♦ 6♦ 10♥ K♥ 2♣ 4♦ 6♥ 10♠ K♠ 3♣ 4♣ 6♦ 10♥ K♥ 3♣ 4♦ 6♣ 10♥ K♥ 3♣ 4♦ 6♦ 10♥ K♥ 3♣ 4♦ 6♥ 10♠ K♠ 2♣ 5♣ 6♣ 10♦ K♦ 2♣ 5♣ 6♦ 10♥ K♥ 2♣ 5♦ 6♣ 10♥ K♥ 2♣ 5♦ 6♦ 10♥ K♥ 2♣ 5♦ 6♥ 10♠ K♠ 3♣ 5♣ 6♦ 10♥ K♥ 3♣ 5♦ 6♣ 10♥ K♥ 3♣ 5♦ 6♦ 10♥ K♥ 3♣ 5♦ 6♥ 10♠ K♠ 4♣ 5♣ 6♦ 10♥ K♥ 4♣ 5♦ 6♣ 10♥ K♥ 4♣ 5♦ 6♦ 10♥ K♥ 4♣ 5♦ 6♥ 10♠ K♠ 2♣ 3♣ 7♣ 10♦ K♦ 2♣ 3♣ 7♦ 10♥ K♥ 2♣ 3♦ 7♣ 10♥ K♥ 2♣ 3♦ 7♦ 10♥ K♥ 2♣ 3♦ 7♥ 10♠ K♠ 2♣ 4♣ 7♣ 10♦ K♦ 2♣ 4♣ 7♦ 10♥ K♥ 2♣ 4♦ 7♣ 10♥ K♥ 2♣ 4♦ 7♦ 10♥ K♥ 2♣ 4♦ 7♥ 10♠ K♠ 3♣ 4♣ 7♣ 10♦ K♦ 3♣ 4♣ 7♦ 10♥ K♥ 3♣ 4♦ 7♣ 10♥ K♥ 3♣ 4♦ 7♦ 10♥ K♥ 3♣ 4♦ 7♥ 10♠ K♠ 2♣ 5♣ 7♣ 10♦ K♦ 2♣ 5♣ 7♦ 10♥ K♥ 2♣ 5♦ 7♣ 10♥ K♥ 2♣ 5♦ 7♦ 10♥ K♥ 2♣ 5♦ 7♥ 10♠ K♠ 3♣ 5♣ 7♣ 10♦ K♦ 3♣ 5♣ 7♦ 10♥ K♥ 3♣ 5♦ 7♣ 10♥ K♥ 3♣ 5♦ 7♦ 10♥ K♥ 3♣ 5♦ 7♥ 10♠ K♠ 4♣ 5♣ 7♦ 10♥ K♥ 4♣ 5♦ 7♣ 10♥ K♥ 4♣ 5♦ 7♦ 10♥ K♥ 4♣ 5♦ 7♥ 10♠ K♠ 2♣ 6♣ 7♣ 10♦ K♦ 2♣ 6♣ 7♦ 10♥ K♥ 2♣ 6♦ 7♣ 10♥ K♥ 2♣ 6♦ 7♦ 10♥ K♥ 2♣ 6♦ 7♥ 10♠ K♠ 3♣ 6♣ 7♣ 10♦ K♦ 3♣ 6♣ 7♦ 10♥ K♥ 3♣ 6♦ 7♣ 10♥ K♥ 3♣ 6♦ 7♦ 10♥ K♥ 3♣ 6♦ 7♥ 10♠ K♠ 4♣ 6♣ 7♦ 10♥ K♥ 4♣ 6♦ 7♣ 10♥ K♥ 4♣ 6♦ 7♦ 10♥ K♥ 4♣ 6♦ 7♥ 10♠ K♠ 5♣ 6♣ 7♦ 10♥ K♥ 5♣ 6♦ 7♣ 10♥ K♥ 5♣ 6♦ 7♦ 10♥ K♥ 5♣ 6♦ 7♥ 10♠ K♠ 2♣ 3♣ 8♣ 10♦ K♦ 2♣ 3♣ 8♦ 10♥ K♥ 2♣ 3♦ 8♣ 10♥ K♥ 2♣ 3♦ 8♦ 10♥ K♥ 2♣ 3♦ 8♥ 10♠ K♠ 2♣ 4♣ 8♣ 10♦ K♦ 2♣ 4♣ 8♦ 10♥ K♥ 2♣ 4♦ 8♣ 10♥ K♥ 2♣ 4♦ 8♦ 10♥ K♥ 2♣ 4♦ 8♥ 10♠ K♠ 3♣ 4♣ 8♣ 10♦ K♦ 3♣ 4♣ 8♦ 10♥ K♥ 3♣ 4♦ 8♣ 10♥ K♥ 3♣ 4♦ 8♦ 10♥ K♥ 3♣ 4♦ 8♥ 10♠ K♠ 2♣ 5♣ 8♣ 10♦ K♦ 2♣ 5♣ 8♦ 10♥ K♥ 2♣ 5♦ 8♣ 10♥ K♥ 2♣ 5♦ 8♦ 10♥ K♥ 2♣ 5♦ 8♥ 10♠ K♠ 3♣ 5♣ 8♣ 10♦ K♦ 3♣ 5♣ 8♦ 10♥ K♥ 3♣ 5♦ 8♣ 10♥ K♥ 3♣ 5♦ 8♦ 10♥ K♥ 3♣ 5♦ 8♥ 10♠ K♠ 4♣ 5♣ 8♣ 10♦ K♦ 4♣ 5♣ 8♦ 10♥ K♥ 4♣ 5♦ 8♣ 10♥ K♥ 4♣ 5♦ 8♦ 10♥ K♥ 4♣ 5♦ 8♥ 10♠ K♠ 2♣ 6♣ 8♣ 10♦ K♦ 2♣ 6♣ 8♦ 10♥ K♥ 2♣ 6♦ 8♣ 10♥ K♥ 2♣ 6♦ 8♦ 10♥ K♥ 2♣ 6♦ 8♥ 10♠ K♠ 3♣ 6♣ 8♣ 10♦ K♦ 3♣ 6♣ 8♦ 10♥ K♥ 3♣ 6♦ 8♣ 10♥ K♥ 3♣ 6♦ 8♦ 10♥ K♥ 3♣ 6♦ 8♥ 10♠ K♠ 4♣ 6♣ 8♣ 10♦ K♦ 4♣ 6♣ 8♦ 10♥ K♥ 4♣ 6♦ 8♣ 10♥ K♥ 4♣ 6♦ 8♦ 10♥ K♥ 4♣ 6♦ 8♥ 10♠ K♠ 5♣ 6♣ 8♦ 10♥ K♥ 5♣ 6♦ 8♣ 10♥ K♥ 5♣ 6♦ 8♦ 10♥ K♥ 5♣ 6♦ 8♥ 10♠ K♠ 2♣ 7♣ 8♣ 10♦ K♦ 2♣ 7♣ 8♦ 10♥ K♥ 2♣ 7♦ 8♣ 10♥ K♥ 2♣ 7♦ 8♦ 10♥ K♥ 2♣ 7♦ 8♥ 10♠ K♠ 3♣ 7♣ 8♣ 10♦ K♦ 3♣ 7♣ 8♦ 10♥ K♥ 3♣ 7♦ 8♣ 10♥ K♥ 3♣ 7♦ 8♦ 10♥ K♥ 3♣ 7♦ 8♥ 10♠ K♠ 4♣ 7♣ 8♣ 10♦ K♦ 4♣ 7♣ 8♦ 10♥ K♥ 4♣ 7♦ 8♣ 10♥ K♥ 4♣ 7♦ 8♦ 10♥ K♥ 4♣ 7♦ 8♥ 10♠ K♠ 5♣ 7♣ 8♦ 10♥ K♥ 5♣ 7♦ 8♣ 10♥ K♥ 5♣ 7♦ 8♦ 10♥ K♥ 5♣ 7♦ 8♥ 10♠ K♠ 6♣ 7♣ 8♦ 10♥ K♥ 6♣ 7♦ 8♣ 10♥ K♥ 6♣ 7♦ 8♦ 10♥ K♥ 6♣ 7♦ 8♥ 10♠ K♠ 2♣ 3♣ 9♣ 10♦ K♦ 2♣ 3♣ 9♦ 10♥ K♥ 2♣ 3♦ 9♣ 10♥ K♥ 2♣ 3♦ 9♦ 10♥ K♥ 2♣ 3♦ 9♥ 10♠ K♠ 2♣ 4♣ 9♣ 10♦ K♦ 2♣ 4♣ 9♦ 10♥ K♥ 2♣ 4♦ 9♣ 10♥ K♥ 2♣ 4♦ 9♦ 10♥ K♥ 2♣ 4♦ 9♥ 10♠ K♠ 3♣ 4♣ 9♣ 10♦ K♦ 3♣ 4♣ 9♦ 10♥ K♥ 3♣ 4♦ 9♣ 10♥ K♥ 3♣ 4♦ 9♦ 10♥ K♥ 3♣ 4♦ 9♥ 10♠ K♠ 2♣ 5♣ 9♣ 10♦ K♦ 2♣ 5♣ 9♦ 10♥ K♥ 2♣ 5♦ 9♣ 10♥ K♥ 2♣ 5♦ 9♦ 10♥ K♥ 2♣ 5♦ 9♥ 10♠ K♠ 3♣ 5♣ 9♣ 10♦ K♦ 3♣ 5♣ 9♦ 10♥ K♥ 3♣ 5♦ 9♣ 10♥ K♥ 3♣ 5♦ 9♦ 10♥ K♥ 3♣ 5♦ 9♥ 10♠ K♠ 4♣ 5♣ 9♣ 10♦ K♦ 4♣ 5♣ 9♦ 10♥ K♥ 4♣ 5♦ 9♣ 10♥ K♥ 4♣ 5♦ 9♦ 10♥ K♥ 4♣ 5♦ 9♥ 10♠ K♠ 2♣ 6♣ 9♣ 10♦ K♦ 2♣ 6♣ 9♦ 10♥ K♥ 2♣ 6♦ 9♣ 10♥ K♥ 2♣ 6♦ 9♦ 10♥ K♥ 2♣ 6♦ 9♥ 10♠ K♠ 3♣ 6♣ 9♣ 10♦ K♦ 3♣ 6♣ 9♦ 10♥ K♥ 3♣ 6♦ 9♣ 10♥ K♥ 3♣ 6♦ 9♦ 10♥ K♥ 3♣ 6♦ 9♥ 10♠ K♠ 4♣ 6♣ 9♣ 10♦ K♦ 4♣ 6♣ 9♦ 10♥ K♥ 4♣ 6♦ 9♣ 10♥ K♥ 4♣ 6♦ 9♦ 10♥ K♥ 4♣ 6♦ 9♥ 10♠ K♠ 5♣ 6♣ 9♣ 10♦ K♦ 5♣ 6♣ 9♦ 10♥ K♥ 5♣ 6♦ 9♣ 10♥ K♥ 5♣ 6♦ 9♦ 10♥ K♥ 5♣ 6♦ 9♥ 10♠ K♠ 2♣ 7♣ 9♣ 10♦ K♦ 2♣ 7♣ 9♦ 10♥ K♥ 2♣ 7♦ 9♣ 10♥ K♥ 2♣ 7♦ 9♦ 10♥ K♥ 2♣ 7♦ 9♥ 10♠ K♠ 3♣ 7♣ 9♣ 10♦ K♦ 3♣ 7♣ 9♦ 10♥ K♥ 3♣ 7♦ 9♣ 10♥ K♥ 3♣ 7♦ 9♦ 10♥ K♥ 3♣ 7♦ 9♥ 10♠ K♠ 4♣ 7♣ 9♣ 10♦ K♦ 4♣ 7♣ 9♦ 10♥ K♥ 4♣ 7♦ 9♣ 10♥ K♥ 4♣ 7♦ 9♦ 10♥ K♥ 4♣ 7♦ 9♥ 10♠ K♠ 5♣ 7♣ 9♣ 10♦ K♦ 5♣ 7♣ 9♦ 10♥ K♥ 5♣ 7♦ 9♣ 10♥ K♥ 5♣ 7♦ 9♦ 10♥ K♥ 5♣ 7♦ 9♥ 10♠ K♠ 6♣ 7♣ 9♦ 10♥ K♥ 6♣ 7♦ 9♣ 10♥ K♥ 6♣ 7♦ 9♦ 10♥ K♥ 6♣ 7♦ 9♥ 10♠ K♠ 2♣ 8♣ 9♣ 10♦ K♦ 2♣ 8♣ 9♦ 10♥ K♥ 2♣ 8♦ 9♣ 10♥ K♥ 2♣ 8♦ 9♦ 10♥ K♥ 2♣ 8♦ 9♥ 10♠ K♠ 3♣ 8♣ 9♣ 10♦ K♦ 3♣ 8♣ 9♦ 10♥ K♥ 3♣ 8♦ 9♣ 10♥ K♥ 3♣ 8♦ 9♦ 10♥ K♥ 3♣ 8♦ 9♥ 10♠ K♠ 4♣ 8♣ 9♣ 10♦ K♦ 4♣ 8♣ 9♦ 10♥ K♥ 4♣ 8♦ 9♣ 10♥ K♥ 4♣ 8♦ 9♦ 10♥ K♥ 4♣ 8♦ 9♥ 10♠ K♠ 5♣ 8♣ 9♣ 10♦ K♦ 5♣ 8♣ 9♦ 10♥ K♥ 5♣ 8♦ 9♣ 10♥ K♥ 5♣ 8♦ 9♦ 10♥ K♥ 5♣ 8♦ 9♥ 10♠ K♠ 6♣ 8♣ 9♦ 10♥ K♥ 6♣ 8♦ 9♣ 10♥ K♥ 6♣ 8♦ 9♦ 10♥ K♥ 6♣ 8♦ 9♥ 10♠ K♠
2 to a Royal Flush: TJ	2 to a Straight: JK	(more)2♣ 3♣ 10♦ J♦ K♣ (less)2♣ 3♣ 10♦ J♦ K♣ 2♣ 3♣ 10♦ J♦ K♥ 2♣ 3♦ 10♥ J♥ K♣ 2♣ 3♦ 10♥ J♥ K♦ 2♣ 3♦ 10♥ J♥ K♠ 2♣ 4♣ 10♦ J♦ K♣ 2♣ 4♣ 10♦ J♦ K♥ 2♣ 4♦ 10♥ J♥ K♣ 2♣ 4♦ 10♥ J♥ K♦ 2♣ 4♦ 10♥ J♥ K♠ 3♣ 4♣ 10♦ J♦ K♣ 3♣ 4♣ 10♦ J♦ K♥ 3♣ 4♦ 10♥ J♥ K♣ 3♣ 4♦ 10♥ J♥ K♦ 3♣ 4♦ 10♥ J♥ K♠ 2♣ 5♣ 10♦ J♦ K♣ 2♣ 5♣ 10♦ J♦ K♥ 2♣ 5♦ 10♥ J♥ K♣ 2♣ 5♦ 10♥ J♥ K♦ 2♣ 5♦ 10♥ J♥ K♠ 3♣ 5♣ 10♦ J♦ K♣ 3♣ 5♣ 10♦ J♦ K♥ 3♣ 5♦ 10♥ J♥ K♣ 3♣ 5♦ 10♥ J♥ K♦ 3♣ 5♦ 10♥ J♥ K♠ 4♣ 5♣ 10♦ J♦ K♣ 4♣ 5♣ 10♦ J♦ K♥ 4♣ 5♦ 10♥ J♥ K♣ 4♣ 5♦ 10♥ J♥ K♦ 4♣ 5♦ 10♥ J♥ K♠ 2♣ 6♣ 10♦ J♦ K♣ 2♣ 6♣ 10♦ J♦ K♥ 2♣ 6♦ 10♥ J♥ K♣ 2♣ 6♦ 10♥ J♥ K♦ 2♣ 6♦ 10♥ J♥ K♠ 3♣ 6♣ 10♦ J♦ K♣ 3♣ 6♣ 10♦ J♦ K♥ 3♣ 6♦ 10♥ J♥ K♣ 3♣ 6♦ 10♥ J♥ K♦ 3♣ 6♦ 10♥ J♥ K♠ 4♣ 6♣ 10♦ J♦ K♣ 4♣ 6♣ 10♦ J♦ K♥ 4♣ 6♦ 10♥ J♥ K♣ 4♣ 6♦ 10♥ J♥ K♦ 4♣ 6♦ 10♥ J♥ K♠ 5♣ 6♣ 10♦ J♦ K♣ 5♣ 6♣ 10♦ J♦ K♥ 5♣ 6♦ 10♥ J♥ K♣ 5♣ 6♦ 10♥ J♥ K♦ 5♣ 6♦ 10♥ J♥ K♠ 2♣ 7♣ 10♦ J♦ K♣ 2♣ 7♣ 10♦ J♦ K♥ 2♣ 7♦ 10♥ J♥ K♣ 2♣ 7♦ 10♥ J♥ K♦ 2♣ 7♦ 10♥ J♥ K♠ 3♣ 7♣ 10♦ J♦ K♣ 3♣ 7♣ 10♦ J♦ K♥ 3♣ 7♦ 10♥ J♥ K♣ 3♣ 7♦ 10♥ J♥ K♦ 3♣ 7♦ 10♥ J♥ K♠ 4♣ 7♣ 10♦ J♦ K♣ 4♣ 7♣ 10♦ J♦ K♥ 4♣ 7♦ 10♥ J♥ K♣ 4♣ 7♦ 10♥ J♥ K♦ 4♣ 7♦ 10♥ J♥ K♠ 5♣ 7♣ 10♦ J♦ K♣ 5♣ 7♣ 10♦ J♦ K♥ 5♣ 7♦ 10♥ J♥ K♣ 5♣ 7♦ 10♥ J♥ K♦ 5♣ 7♦ 10♥ J♥ K♠ 6♣ 7♣ 10♦ J♦ K♣ 6♣ 7♣ 10♦ J♦ K♥ 6♣ 7♦ 10♥ J♥ K♣ 6♣ 7♦ 10♥ J♥ K♦ 6♣ 7♦ 10♥ J♥ K♠
2 to a Straight: JA	2 to a Royal Flush: TJ	(more)2♣ 7♦ 10♣ J♣ A♦ (less)2♣ 7♦ 10♣ J♣ A♦ 2♣ 7♦ 10♣ J♣ A♥ 3♣ 7♦ 10♣ J♣ A♦ 3♣ 7♦ 10♣ J♣ A♥ 4♣ 7♦ 10♣ J♣ A♦ 4♣ 7♦ 10♣ J♣ A♥ 5♣ 7♦ 10♣ J♣ A♦ 5♣ 7♦ 10♣ J♣ A♥ 6♣ 7♦ 10♣ J♣ A♦ 6♣ 7♦ 10♣ J♣ A♥ 2♣ 8♦ 10♣ J♣ A♦ 2♣ 8♦ 10♣ J♣ A♥ 3♣ 8♦ 10♣ J♣ A♦ 3♣ 8♦ 10♣ J♣ A♥ 4♣ 8♦ 10♣ J♣ A♦ 4♣ 8♦ 10♣ J♣ A♥ 5♣ 8♦ 10♣ J♣ A♦ 5♣ 8♦ 10♣ J♣ A♥ 6♣ 8♦ 10♣ J♣ A♦ 6♣ 8♦ 10♣ J♣ A♥ 2♣ 9♦ 10♣ J♣ A♦ 2♣ 9♦ 10♣ J♣ A♥ 3♣ 9♦ 10♣ J♣ A♦ 3♣ 9♦ 10♣ J♣ A♥ 4♣ 9♦ 10♣ J♣ A♦ 4♣ 9♦ 10♣ J♣ A♥ 5♣ 9♦ 10♣ J♣ A♦ 5♣ 9♦ 10♣ J♣ A♥ 6♣ 9♦ 10♣ J♣ A♦ 6♣ 9♦ 10♣ J♣ A♥
3 to a Straight Flush: 7TJ	2 to a Straight: JQ	(more)2♣ 7♦ 10♦ J♦ Q♣ (less)2♣ 7♦ 10♦ J♦ Q♣ 2♣ 7♦ 10♦ J♦ Q♥ 3♣ 7♦ 10♦ J♦ Q♣ 3♣ 7♦ 10♦ J♦ Q♥ 4♣ 7♦ 10♦ J♦ Q♣ 4♣ 7♦ 10♦ J♦ Q♥ 5♣ 7♦ 10♦ J♦ Q♣ 5♣ 7♦ 10♦ J♦ Q♥ 6♣ 7♦ 10♦ J♦ Q♣ 6♣ 7♦ 10♦ J♦ Q♥
3 to a Straight Flush: 78T	Single Card: an Ace	(more)2♣ 7♦ 8♦ 10♦ A♣ (less)2♣ 7♦ 8♦ 10♦ A♣ 2♣ 7♦ 8♦ 10♦ A♥ 3♣ 7♦ 8♦ 10♦ A♣ 3♣ 7♦ 8♦ 10♦ A♥ 4♣ 7♦ 8♦ 10♦ A♣ 4♣ 7♦ 8♦ 10♦ A♥ 5♣ 7♦ 8♦ 10♦ A♣ 5♣ 7♦ 8♦ 10♦ A♥ 6♣ 7♦ 8♦ 10♦ A♣
3 to a Straight Flush: 79T	Single Card: an Ace	(more)2♣ 7♦ 9♦ 10♦ A♣ (less)2♣ 7♦ 9♦ 10♦ A♣ 2♣ 7♦ 9♦ 10♦ A♥ 3♣ 7♦ 9♦ 10♦ A♣ 3♣ 7♦ 9♦ 10♦ A♥ 4♣ 7♦ 9♦ 10♦ A♣ 4♣ 7♦ 9♦ 10♦ A♥ 5♣ 7♦ 9♦ 10♦ A♣ 5♣ 7♦ 9♦ 10♦ A♥ 6♣ 7♦ 9♦ 10♦ A♣
3 to a Straight Flush: 346	Single Card: an Ace	(more)2♣ 3♦ 4♦ 6♦ A♣ (less)2♣ 3♦ 4♦ 6♦ A♣ 3♣ 4♣ 6♣ 7♦ A♦ 3♣ 4♣ 6♣ 8♦ A♦ 3♣ 4♣ 6♣ 8♦ A♥ 3♣ 4♣ 6♣ 9♦ A♦ 3♣ 4♣ 6♣ 9♦ A♥ 3♣ 4♣ 6♣ 10♦ A♦ 3♣ 4♣ 6♣ 10♦ A♥
3 to a Straight Flush: 356	Single Card: an Ace	(more)2♣ 3♦ 5♦ 6♦ A♣ (less)2♣ 3♦ 5♦ 6♦ A♣ 3♣ 5♣ 6♣ 7♦ A♦ 3♣ 5♣ 6♣ 8♦ A♦ 3♣ 5♣ 6♣ 8♦ A♥ 3♣ 5♣ 6♣ 9♦ A♦ 3♣ 5♣ 6♣ 9♦ A♥ 3♣ 5♣ 6♣ 10♦ A♦ 3♣ 5♣ 6♣ 10♦ A♥
3 to a Straight Flush: 457	Single Card: an Ace	(more)2♣ 4♦ 5♦ 7♦ A♣ (less)2♣ 4♦ 5♦ 7♦ A♣ 2♣ 4♦ 5♦ 7♦ A♥ 3♣ 4♦ 5♦ 7♦ A♣ 4♣ 5♣ 7♣ 8♦ A♦ 4♣ 5♣ 7♣ 9♦ A♦ 4♣ 5♣ 7♣ 9♦ A♥ 4♣ 5♣ 7♣ 10♦ A♦ 4♣ 5♣ 7♣ 10♦ A♥
3 to a Straight Flush: 467	Single Card: an Ace	(more)2♣ 4♦ 6♦ 7♦ A♣ (less)2♣ 4♦ 6♦ 7♦ A♣ 2♣ 4♦ 6♦ 7♦ A♥ 3♣ 4♦ 6♦ 7♦ A♣ 4♣ 6♣ 7♣ 8♦ A♦ 4♣ 6♣ 7♣ 9♦ A♦ 4♣ 6♣ 7♣ 9♦ A♥ 4♣ 6♣ 7♣ 10♦ A♦ 4♣ 6♣ 7♣ 10♦ A♥
3 to a Straight Flush: 679	Single Card: an Ace	(more)2♣ 6♦ 7♦ 9♦ A♣ (less)2♣ 6♦ 7♦ 9♦ A♣ 2♣ 6♦ 7♦ 9♦ A♥ 3♣ 6♦ 7♦ 9♦ A♣ 3♣ 6♦ 7♦ 9♦ A♥ 4♣ 6♦ 7♦ 9♦ A♣ 4♣ 6♦ 7♦ 9♦ A♥ 5♣ 6♦ 7♦ 9♦ A♣ 6♣ 7♣ 9♣ 10♦ A♦
2 to a Straight: JK	3 to a Straight Flush: 78J	(more)7♣ 8♣ 9♦ J♣ K♦ (less)7♣ 8♣ 9♦ J♣ K♦ 7♣ 8♣ 9♦ J♣ K♥ 7♣ 8♣ 10♦ J♣ K♦ 7♣ 8♣ 10♦ J♣ K♥
3 to a Straight Flush: 234	Single Card: an Ace	(more)2♣ 3♣ 4♣ 7♦ A♦ (less)2♣ 3♣ 4♣ 7♦ A♦ 2♣ 3♣ 4♣ 8♦ A♦ 2♣ 3♣ 4♣ 9♦ A♦ 2♣ 3♣ 4♣ 10♦ A♦
3 to a Straight Flush: 235	Single Card: an Ace	(more)2♣ 3♣ 5♣ 7♦ A♦ (less)2♣ 3♣ 5♣ 7♦ A♦ 2♣ 3♣ 5♣ 8♦ A♦ 2♣ 3♣ 5♣ 9♦ A♦ 2♣ 3♣ 5♣ 10♦ A♦
3 to a Straight Flush: 245	Single Card: an Ace	(more)2♣ 4♣ 5♣ 7♦ A♦ (less)2♣ 4♣ 5♣ 7♦ A♦ 2♣ 4♣ 5♣ 8♦ A♦ 2♣ 4♣ 5♣ 9♦ A♦ 2♣ 4♣ 5♣ 10♦ A♦
Single Card: a Jack	3 to a Straight Flush: 346	(more)2♣ 3♦ 4♦ 6♦ J♥ (less)2♣ 3♦ 4♦ 6♦ J♥ 3♣ 4♣ 6♣ 7♦ J♥
Single Card: a Jack	3 to a Straight Flush: 356	(more)2♣ 3♦ 5♦ 6♦ J♥ (less)2♣ 3♦ 5♦ 6♦ J♥ 3♣ 5♣ 6♣ 7♦ J♥
Single Card: a Jack	3 to a Straight Flush: 457	(more)3♣ 4♦ 5♦ 7♦ J♥ (less)3♣ 4♦ 5♦ 7♦ J♥ 4♣ 5♣ 7♣ 8♦ J♥
Single Card: a Jack	3 to a Straight Flush: 467	(more)3♣ 4♦ 6♦ 7♦ J♥ (less)3♣ 4♦ 6♦ 7♦ J♥ 4♣ 6♣ 7♣ 8♦ J♥
Single Card: an Ace	3 to a Straight Flush: 568	(more)4♣ 5♦ 6♦ 8♦ A♥ (less)4♣ 5♦ 6♦ 8♦ A♥ 5♣ 6♣ 8♣ 9♦ A♥
Single Card: an Ace	3 to a Straight Flush: 578	(more)4♣ 5♦ 7♦ 8♦ A♥ (less)4♣ 5♦ 7♦ 8♦ A♥ 5♣ 7♣ 8♣ 9♦ A♥
Single Card: an Ace	3 to a Straight Flush: 689	(more)5♣ 6♦ 8♦ 9♦ A♥ (less)5♣ 6♦ 8♦ 9♦ A♥ 6♣ 8♣ 9♣ 10♦ A♥
Single Card: a Jack	3 to a Straight Flush: 78T	(more)6♣ 7♦ 8♦ 10♦ J♣ (less)6♣ 7♦ 8♦ 10♦ J♣ 6♣ 7♦ 8♦ 10♦ J♥
Single Card: a Jack	3 to a Straight Flush: 79T	(more)6♣ 7♦ 9♦ 10♦ J♣ (less)6♣ 7♦ 9♦ 10♦ J♣ 6♣ 7♦ 9♦ 10♦ J♥
2 to a Straight: JK	3 to a Straight Flush: 79J	(more)7♣ 8♦ 9♣ J♣ K♦ (less)7♣ 8♦ 9♣ J♣ K♦ 7♣ 8♦ 9♣ J♣ K♥
2 to a Straight: JK	3 to a Straight Flush: 7TJ	(more)7♣ 8♦ 10♣ J♣ K♦ (less)7♣ 8♦ 10♣ J♣ K♦ 7♣ 8♦ 10♣ J♣ K♥
3 to a Straight Flush: 78J	2 to a Straight: JQ	7♣ 8♣ J♣ Q♦ A♥
3 to a Straight Flush: 79J	2 to a Straight: JQ	7♣ 9♣ J♣ Q♦ A♥
3 to a Straight Flush: 234	2 to a Straight: JK	2♣ 3♣ 4♣ J♦ K♥
3 to a Straight Flush: 235	2 to a Straight: JK	2♣ 3♣ 5♣ J♦ K♥
3 to a Straight Flush: 245	2 to a Straight: JK	2♣ 4♣ 5♣ J♦ K♥
3 to a Straight Flush: 346	2 to a Straight: JK	3♣ 4♣ 6♣ J♦ K♥
3 to a Straight Flush: 356	2 to a Straight: JK	3♣ 5♣ 6♣ J♦ K♥
3 to a Straight Flush: 457	2 to a Straight: JK	4♣ 5♣ 7♣ J♦ K♥
3 to a Straight Flush: 467	2 to a Straight: JK	4♣ 6♣ 7♣ J♦ K♥
3 to a Straight Flush: 679	2 to a Straight: JK	6♣ 7♣ 9♣ J♦ K♥
3 to a Straight Flush: 346	2 to a Straight: JA	3♣ 4♣ 6♣ J♦ A♥
3 to a Straight Flush: 356	2 to a Straight: JA	3♣ 5♣ 6♣ J♦ A♥
3 to a Straight Flush: 457	2 to a Straight: JA	4♣ 5♣ 7♣ J♦ A♥
3 to a Straight Flush: 467	2 to a Straight: JA	4♣ 6♣ 7♣ J♦ A♥
3 to a Straight Flush: 679	2 to a Straight: JA	6♣ 7♣ 9♣ J♦ A♥
3 to a Straight Flush: 78T	2 to a Straight: JA	7♣ 8♣ 10♣ J♦ A♥
3 to a Straight Flush: 79T	2 to a Straight: JA	7♣ 9♣ 10♣ J♦ A♥
3 to a Straight Flush: 346	2 to a Straight: QA	3♣ 4♣ 6♣ Q♦ A♥
3 to a Straight Flush: 356	2 to a Straight: QA	3♣ 5♣ 6♣ Q♦ A♥
3 to a Straight Flush: 457	2 to a Straight: QA	4♣ 5♣ 7♣ Q♦ A♥
3 to a Straight Flush: 467	2 to a Straight: QA	4♣ 6♣ 7♣ Q♦ A♥
3 to a Straight Flush: 679	2 to a Straight: QA	6♣ 7♣ 9♣ Q♦ A♥
3 to a Straight Flush: 78T	2 to a Straight: QA	7♣ 8♣ 10♣ Q♦ A♥
3 to a Straight Flush: 79T	2 to a Straight: QA	7♣ 9♣ 10♣ Q♦ A♥
3 to a Straight Flush: 346	2 to a Straight: KA	3♣ 4♣ 6♣ K♦ A♥
3 to a Straight Flush: 356	2 to a Straight: KA	3♣ 5♣ 6♣ K♦ A♥
3 to a Straight Flush: 457	2 to a Straight: KA	4♣ 5♣ 7♣ K♦ A♥
3 to a Straight Flush: 467	2 to a Straight: KA	4♣ 6♣ 7♣ K♦ A♥
3 to a Straight Flush: 679	2 to a Straight: KA	6♣ 7♣ 9♣ K♦ A♥
3 to a Straight Flush: 78T	2 to a Straight: KA	7♣ 8♣ 10♣ K♦ A♥
3 to a Straight Flush: 79T	2 to a Straight: KA	7♣ 9♣ 10♣ K♦ A♥
Single Card: a Jack	3 to a Straight Flush: 234	2♣ 3♣ 4♣ 6♦ J♥
Single Card: a Jack	3 to a Straight Flush: 235	2♣ 3♣ 5♣ 6♦ J♥
Single Card: a Jack	3 to a Straight Flush: 245	2♣ 4♣ 5♣ 6♦ J♥
Single Card: a Jack	3 to a Straight Flush: 568	4♣ 5♦ 6♦ 8♦ J♥
Single Card: a Jack	3 to a Straight Flush: 578	4♣ 5♦ 7♦ 8♦ J♥
3 to a Straight Flush: 456	2 to a Royal Flush: JA	4♣ 5♣ 6♣ J♦ A♦
3 to a Straight Flush: 567	2 to a Royal Flush: JA	5♣ 6♣ 7♣ J♦ A♦
3 to a Straight Flush: 678	2 to a Royal Flush: JA	6♣ 7♣ 8♣ J♦ A♦

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Introduction