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Jacks or Better

Introduction

"976-9-6" Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 976 554,637,108 0.000028 0.027157
Straight flush 50 2,218,146,252 0.000111 0.005564
Four of a kind 25 46,944,834,792 0.002355 0.058878
Full house 9 228,938,634,648 0.011485 0.103367
Flush 6 221,687,899,200 0.011122 0.066729
Straight 4 225,414,163,536 0.011308 0.045234
Three of a Kind 3 1,478,350,617,468 0.074165 0.222495
Two pair 2 2,569,778,781,732 0.128919 0.257839
Jacks or better 1 4,240,539,117,972 0.212737 0.212737
Nothing 0 10,918,803,684,492 0.547769 0.000000
Total   19,933,230,517,200 1.000000 1.000000

 

 

"90-9-6" Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 800 500,790,444 0.000025 0.020099
Straight flush 90 2,378,594,904 0.000119 0.010740
Four of a kind 25 47,057,767,584 0.002361 0.059019
Full house 9 229,325,520,096 0.011505 0.103542
Flush 6 223,054,389,492 0.011190 0.067140
Straight 4 220,034,964,156 0.011039 0.044154
Three of a Kind 3 1,482,730,554,984 0.074385 0.223155
Two pair 2 2,575,465,030,008 0.129205 0.258409
Jacks or better 1 4,259,815,156,080 0.213704 0.213704
Nothing 0 10,892,867,749,452 0.546468 0.000000
Total   19,933,230,517,200 1.000000 0.999962

 

The following "40-20-9-6-5" pay table can be found at Internet casinos using Net Entertainment software.

40-20-9-6-5 Net Entertainment Pay Table

Hand Payoff Combinations Probability Return
Royal flush 800 41,382,840 0.000025 0.019930
Straight Flush 40 180,747,575 0.000109 0.004352
Four of a Kind 20 3,890,582,423 0.002342 0.046843
Full House 9 18,956,234,967 0.011412 0.102707
Flush 6 18,041,938,480 0.010861 0.065169
Straight 5 25,359,854,313 0.015267 0.076334
Three of a kind 3 121,503,253,337 0.073146 0.219438
Two pair 2 210,488,488,893 0.126716 0.253432
Pair 1 344,494,570,128 0.207389 0.207389
Nonpaying hand 0 918,145,490,144 0.552733 0.000000
Total   1,661,102,543,100 1.000000 0.995595

 

 

 

"940-9-6" Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 940 523487220 0.000026 0.024686
Straight Flush 50 2210097684 0.000111 0.005544
Four of a Kind 25 47036519220 0.002360 0.058993
Full House 9 229274750340 0.011502 0.103519
Flush 6 220266691236 0.011050 0.066301
Straight 4 224836698648 0.011279 0.045118
Three of a Kind 3 1481912846688 0.074344 0.223032
Two Pair 2 2574414297144 0.129152 0.258304
Jacks or Better 1 4256413692336 0.213534 0.213534
Nothing 0 10896341436684 0.546642 0.000000
Total   19933230517200 1.000000 0.999030

 

 

"9-6" Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 800 493512264 0.00002476 0.01980661
Straight flush 50 2178883296 0.00010931 0.00546545
Four of a kind 25 47093167764 0.00236255 0.05906364
Full house 9 229475482596 0.01151221 0.10360987
Flush 6 219554786160 0.01101451 0.06608707
Straight 4 223837565784 0.01122937 0.04491747
Three of a kind 3 1484003070324 0.07444870 0.22334610
Two pair 2 2576946164148 0.12927890 0.25855780
Jacks or Better 1 4277372890968 0.21458503 0.21458503
Nothing 0 10872274993896 0.54543467 0
Total   19933230517200 1 0.99543904

 

The standard deviation of Full Pay 9/6 Jacks or Better is 4.42.

 

"26-8-6" Jacks or Better

 

Hand Payoff Combinations Probability Return
Royal flush 800 493,461,180 0.000025 0.019805
Straight flush 50 2,178,781,128 0.000109 0.005465
Four of a kind 26 47,093,065,596 0.002363 0.061426
Full house 8 229,474,563,084 0.011512 0.092097
Flush 6 219,546,510,552 0.011014 0.066085
Straight 4 223,901,471,868 0.011233 0.044930
Three of a Kind 3 1,483,988,715,720 0.074448 0.223344
Two pair 2 2,576,909,843,424 0.129277 0.258554
Jacks or better 1 4,277,338,869,024 0.214583 0.214583
Nothing 0 10,872,305,235,624 0.545436 0.000000
Total   19,933,230,517,200 1.000000 0.986289

 

55-25-9-5

Hand Payoff Combinations Probability Return
Royal flush 800 496119612 0.000025 0.019911
Straight Flush 55 2158824828 0.000108 0.005957
Four of a Kind 25 47098605372 0.002363 0.059070
Full House 9 229494792348 0.011513 0.103619
Flush 5 217594427340 0.010916 0.054581
Straight 4 224070585192 0.011241 0.044964
Three of a Kind 3 1484198029572 0.074458 0.223375
Two Pair 2 2577172159764 0.129290 0.258580
Jacks or Better 1 4285248732612 0.214980 0.214980
All Other 0 10865698240560 0.545105 0.000000
Total 19933230517200 1 0.985038

 

"9/5" Jacks or Better

 

Hand Payoff Combinations Probability Return
Royal flush 800 496237776 0.000025 0.019916
Straight flush 50 2137447980 0.000107 0.005362
Four of a kind 25 47100799404 0.002363 0.059073
Full house 9 229510637676 0.011514 0.103626
Flush 5 217120426644 0.010892 0.054462
Straight 4 223861063908 0.011231 0.044922
Three of a Kind 3 1484332642620 0.074465 0.223396
Two pair 2 2577431192796 0.129303 0.258606
Jacks or better 1 4288342040640 0.215135 0.215135
Nothing 0 10862898027756 0.544964 0.000000
Total   0 1.000000 0.984498

 

"8/6" Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 800 493461180 0.000025 0.019805
Straight flush 50 2178781128 0.000109 0.005465
Four of a kind 25 47093065596 0.002363 0.059064
Full house 8 229474563084 0.011512 0.092097
Flush 6 219546510552 0.011014 0.066085
Straight 4 223901471868 0.011233 0.044930
Three of a Kind 3 1483988715720 0.074448 0.223344
Two pair 2 2576909843424 0.129277 0.258554
Jacks or better 1 4277338869024 0.214583 0.214583
Nothing 0 10872305235624 0.545436 0.000000
Total   19933230517200 1.000000 0.983927

 

 

55-25-8-5

Hand Payoff Combinations Probability Return
Royal flush 800 496084524 0.000025 0.019910
Straight Flush 55 2160592644 0.000108 0.005962
Four of a Kind 25 47098415484 0.002363 0.059070
Full House 8 229493269116 0.011513 0.092105
Flush 5 217640202732 0.010918 0.054592
Straight 4 224082276720 0.011242 0.044967
Three of a Kind 3 1484185384476 0.074458 0.223374
Two Pair 2 2577146757084 0.129289 0.258578
Jacks or Better 1 4285010359188 0.214968 0.214968
All Other 0 10865917175232 0.545116 0.000000
Total 19933230517200 1 0.973525

 

"8/5" Jacks or Better

 

Hand Payoff Combinations Probability Return
Royal flush 800 496224876 0.00002489 0.01991548
Straight flush 50 2146096656 0.00010766 0.00538321
Four of a kind 25 47100003732 0.00236289 0.05907222
Full house 8 229504776948 0.01151368 0.09210942
Flush 5 217303355868 0.01090156 0.05450781
Straight 4 223952329860 0.01123512 0.04494050
Three of a kind 3 1484283075660 0.07446275 0.22338824
Two pair 2 2577335006268 0.12929841 0.25859682
Jacks or Better 1 4287052708344 0.21507064 0.21507064
Nothing 0 10864056938988 0.54502239 0
Total   19933230517200 1 0.97298434

 

"7/5" Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 800 496195464 0.000025 0.019914
Straight Flush 50 2148216384 0.000108 0.005389
Four of a Kind 25 47085010836 0.002362 0.059053
Full House 7 229449036564 0.011511 0.080576
Flush 5 217345878912 0.010904 0.054518
Straight 4 224882540088 0.011282 0.045127
Three of a Kind 3 1483660907628 0.074432 0.223295
Two Pair 2 2576458033308 0.129254 0.258509
Jacks or Better 1 4287450841560 0.215091 0.215091
Nothing 0 10864253856456 0.545032 0.000000
Total   19933230517200 1.000000 0.961472

 

The following pay table can be found at Internet casinos using Gtech software. There a progressive jackpot is paid for a royal flush. With this pay table, assuming no strategy deviation for the jackpot, the breakeven point is 2,822 full bets, or 14,111 coins.

 

"20/7/5" Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 800 41,349,278 0.000025 0.019914
Straight Flush 50 179,322,085 0.000108 0.005398
Four of a Kind 20 3,923,707,473 0.002362 0.047242
Full House 7 19,120,424,097 0.011511 0.080575
Flush 5 18,122,857,212 0.010910 0.054551
Straight 4 18,742,097,869 0.011283 0.045132
Three of a Kind 3 123,635,644,155 0.074430 0.223290
Two Pair 2 214,699,408,047 0.129251 0.258502
Jacks or Better 1 357,234,058,737 0.215058 0.215058
Nothing 0 905,403,674,147 0.545062 0.000000
Total   1,661,102,543,100 1.000000 0.949661

 

 

"6/5" Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 800 496188240 0.000025 0.019914
Straight Flush 50 2152883604 0.000108 0.005400
Four of a Kind 25 47084328684 0.002362 0.059053
Full House 6 229444197516 0.011511 0.069064
Flush 5 217494726336 0.010911 0.054556
Straight 4 224915292156 0.011283 0.045134
Three of a Kind 3 1483619627628 0.074429 0.223288
Two Pair 2 2576379215340 0.129250 0.258501
Jacks or Better 1 4286678700708 0.215052 0.215052
Nothing 0 10864965356988 0.545068 0.000000
Total   19933230517200 1.000000 0.949961

 

 

Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 1000 584850156 0.000029 0.029340
Straight Flush 125 2767415496 0.000139 0.017354
Four of a Kind 30 46557578340 0.002336 0.070070
Full House 9 227393352180 0.011408 0.102670
Flush 6 230950967928 0.011586 0.069517
Straight 4 234429994332 0.011761 0.047043
Three of a Kind 2 1461920711760 0.073341 0.146682
Two Pair 2 2546047990440 0.127729 0.255458
Jacks or Better 1 4178517979140 0.209626 0.209626
Nothing 0 11004059677428 0.552046 0.000000
Total   19933230517200 1.000000 0.947760

 

 

Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 1000 583259868 0.000029 0.029261
Straight Flush 100 2605479636 0.000131 0.013071
Four of a Kind 30 46627381272 0.002339 0.070175
Full House 9 227648604168 0.011421 0.102785
Flush 6 230293442256 0.011553 0.069319
Straight 4 235552505568 0.011817 0.047268
Three of a Kind 2 1464439288980 0.073467 0.146934
Two Pair 2 2548996728588 0.127877 0.255753
Jacks or Better 1 4181746030488 0.209788 0.209788
Nothing 0 10994737796376 0.551578 0.000000
Total   19933230517200 1.000000 0.944355

 

 

Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 1000 553557120 0.000028 0.027771
Straight flush 50 2182888488 0.000110 0.005476
Four of a kind 25 46926826392 0.002354 0.058855
Full house 6 228885971688 0.011483 0.068896
Flush 5 220272599952 0.011051 0.055253
Straight 4 226192098552 0.011347 0.045390
Three of a Kind 3 1477676746236 0.074131 0.222394
Two pair 2 2568945722436 0.128878 0.257755
Jacks or better 1 4252314431988 0.213328 0.213328
Nothing 0 10909279674348 0.547291 0.000000
Total   19933230517200 1.000000 0.955116

 

 

Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 500 411240468 0.000021 0.010315
Straight Flush 100 2532907488 0.000127 0.012707
Four of a Kind 30 46803703116 0.002348 0.070441
Full House 9 228016506204 0.011439 0.102951
Flush 6 247464811524 0.012415 0.074488
Straight 4 238469512044 0.011963 0.047854
Three of a Kind 2 1468138588212 0.073653 0.147306
Two Pair 2 2548457384580 0.127850 0.255699
Jacks or Better 1 4191669903384 0.210286 0.210286
Nothing 0 10961265960180 0.549899 0.000000
Total   19933230517200 1.000000 0.932047

 

 

Jacks or Better

Hand Payoff Combinations Probability Return
Royal flush 1000 553693344 0.000028 0.027777
Straight flush 50 2181883836 0.000109 0.005473
Four of a kind 20 46927098840 0.002354 0.047084
Full house 7 228888423720 0.011483 0.080379
Flush 5 220234644540 0.011049 0.055243
Straight 4 226131938628 0.011344 0.045378
Three of a Kind 3 1477703531280 0.074133 0.222398
Two pair 2 2569008096000 0.128881 0.257761
Jacks or better 1 4252431465432 0.213334 0.213334
Nothing 0 10909169741580 0.547286 0.000000
Total   19933230517200 1.000000 0.954828

 

 

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Written by: Michael Shackleford