Deuces Wild

Deuces Wild - 99.96%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	458643348	0.000023	0.018407
Four deuces	200	3565563612	0.000179	0.035775
Wild royal flush	25	37574943816	0.001885	0.047126
Five of a kind	15	61291109808	0.003075	0.046122
Straight flush	11	111216063372	0.005579	0.061374
Four of a kind	4	1208791306212	0.060642	0.242568
Full house	4	520668792144	0.026121	0.104483
Flush	3	423223749672	0.021232	0.063696
Straight	2	1126487857584	0.056513	0.113026
Three of a kind	1	5322003419376	0.266992	0.266992
Nothing	0	11117949068256	0.557760	0.000000
Total	0	19933230517200	1.000000	0.999569

The standard deviation of "Not so Ugly Ducks" is 5.077845.

"Ugly Ducks"Deuces Wild - 99.42%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	458804184	0.000023	0.018414
Four deuces	200	3713404836	0.000186	0.037258
Wild royal flush	25	38103679152	0.001912	0.047789
Five of a kind	15	61829511864	0.003102	0.046527
Straight flush	10	102707630616	0.005153	0.051526
Four of a kind	4	1214983774884	0.060953	0.243811
Full house	4	520497926064	0.026112	0.104448
Flush	3	414163445808	0.020778	0.062333
Straight	2	1145830327560	0.057483	0.114967
Three of a kind	1	5324282940228	0.267106	0.267106
Nothing	0	11106659072004	0.557193	0.000000
Total	0	19933230517200	1.000000	0.994179

Deuces Wild - 99.23%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	458819016	0.000023	0.018414
Four deuces	200	3730524684	0.000187	0.037430
Wild royal flush	25	38065954392	0.001910	0.047742
Five of a kind	16	62268394416	0.003124	0.049982
Straight flush	9	98213012040	0.004927	0.044344
Four of a kind	4	1222943265684	0.061352	0.245408
Full house	4	522081065616	0.026191	0.104766
Flush	3	407385041304	0.020437	0.061312
Straight	2	1143901024008	0.057387	0.114773
Three of a kind	1	5343757697652	0.268083	0.268083
Nothing	0	11090425718388	0.556379	0.000000
Total	0	19933230517200	1.000000	0.992254

Deuces Wild - 98.94%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	434878920	0.000022	0.017453
Four deuces	200	4121012328	0.000207	0.041348
Wild royal flush	20	34566601152	0.001734	0.034682
Five of a kind	12	63104586192	0.003166	0.037990
Straight flush	9	83772299412	0.004203	0.037824
Four of a kind	5	1298743900896	0.065155	0.325774
Full house	3	423251963064	0.021233	0.063700
Flush	2	330450260388	0.016578	0.033156
Straight	2	1120749894396	0.056225	0.112450
Three of a kind	1	5680984381728	0.285001	0.285001
Nothing	0	10893050738724	0.546477	0.000000
Total	0	19933230517200	1.000000	0.989378

Deuces Wild - 98.91%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	459049128	0.000023	0.018423
Four deuces	200	3727422492	0.000187	0.037399
Wild royal flush	25	38117987136	0.001912	0.047807
Five of a kind	15	62201557608	0.003120	0.046807
Straight flush	9	98365859016	0.004935	0.044413
Four of a kind	4	1221942888444	0.061302	0.245207
Full house	4	522030131520	0.026189	0.104756
Flush	3	407586633720	0.020448	0.061343
Straight	2	1145767137120	0.057480	0.114961
Three of a kind	1	5342397992292	0.268015	0.268015
Nothing	0	11090633858724	0.556389	0.000000
Total	0	19933230517200	1.000000	0.989131

Deuces Wild - 97.97%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	451937508	0.000023	0.018138
Four deuces	200	3745067112	0.000188	0.037576
Wild royal flush	20	35860610544	0.001799	0.035981
Five of a kind	15	62381006928	0.003129	0.046942
Straight flush	9	99426847308	0.004988	0.044892
Four of a kind	4	1225576440384	0.061484	0.245936
Full house	4	522121485192	0.026194	0.104774
Flush	3	408636792912	0.020500	0.061501
Straight	2	1153275073104	0.057857	0.115714
Three of a kind	1	5347320285324	0.268262	0.268262
Nothing	0	11074434970884	0.555577	0.000000
Total	0	19933230517200	1.000000	0.979716

Deuces Wild - 97.58%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	452258388	0.000023	0.018151
Four deuces	200	3681116136	0.000185	0.036934
Wild royal flush	20	35519655168	0.001782	0.035639
Five of a kind	12	59450103984	0.002982	0.035790
Straight flush	10	109163645748	0.005476	0.054765
Four of a kind	4	1213460173776	0.060876	0.243505
Full house	4	520454143512	0.026110	0.104439
Flush	3	420473233680	0.021094	0.063282
Straight	2	1160573109144	0.058223	0.116446
Three of a kind	1	5318990094612	0.266840	0.266840
Nothing	0	11091012983052	0.556408	0.000000
Total	0	19933230517200	1.000000	0.975791

Deuces Wild - 97.06%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	452344668	0.000023	0.018154
Four deuces	200	3802423092	0.000191	0.038152
Wild royal flush	20	36118827504	0.001812	0.036240
Five of a kind	12	60148921128	0.003018	0.036210
Straight flush	9	99555849468	0.004994	0.044950
Four of a kind	4	1223266621836	0.061368	0.245473
Full house	4	522074087304	0.026191	0.104765
Flush	3	419753517672	0.021058	0.063174
Straight	2	1151793682560	0.057783	0.115565
Three of a kind	1	5339530195512	0.267871	0.267871
Nothing	0	11076734046456	0.555692	0.000000
Total	0	19933230517200	1.000000	0.970554

Deuces Wild - 96.77%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	451860552	0.000023	0.018135
Four deuces	200	3569009976	0.000179	0.035810
Wild royal flush	25	36609589824	0.001837	0.045915
Five of a kind	16	62382255384	0.003130	0.050073
Straight flush	13	114872455524	0.005763	0.074917
Four of a kind	4	1241518035276	0.062284	0.249135
Full house	3	418049590932	0.020972	0.062917
Flush	2	352876748868	0.017703	0.035406
Straight	2	1155483277524	0.057968	0.115935
Three of a kind	1	5569471452216	0.279406	0.279406
Nothing	0	10977946241124	0.550736	0.000000
Total	0	19933230517200	1.000000	0.967651

Deuces Wild - 96.01%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	451792236	0.000023	0.018132
Four deuces	200	3863424612	0.000194	0.038764
Wild royal flush	25	38143832304	0.001914	0.047840
Five of a kind	12	60543033648	0.003037	0.036447
Straight flush	9	92059493940	0.004618	0.041566
Four of a kind	4	1234339050060	0.061924	0.247695
Full house	4	526041410976	0.026390	0.105561
Flush	2	352578561264	0.017688	0.035376
Straight	2	1176657577728	0.059030	0.118060
Three of a kind	1	5395672259556	0.270687	0.270687
Nothing	0	11052880080876	0.554495	0.000000
Total	0	19933230517200	1.000000	0.960127

Deuces Wild - 95.96%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	452451600	0.000023	0.018159
Four deuces	200	3821278248	0.000192	0.038341
Wild royal flush	20	36664645296	0.001839	0.036787
Five of a kind	10	60240075552	0.003022	0.030221
Straight flush	8	93851029860	0.004708	0.037666
Four of a kind	4	1223426871528	0.061376	0.245505
Full house	4	522020978160	0.026188	0.104754
Flush	3	419994511284	0.021070	0.063210
Straight	2	1169131885884	0.058652	0.117305
Three of a kind	1	5335934089524	0.267690	0.267690
Nothing	0	11067692700264	0.555238	0.000000
Total	0	19933230517200	1.000000	0.959638

Deuces Wild - 95.59%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	453902928	0.000023	0.018217
Four deuces	200	4001940168	0.000201	0.040153
Wild royal flush	25	38578754280	0.001935	0.048385
Five of a kind	12	61294210992	0.003075	0.036900
Straight flush	8	81393079344	0.004083	0.032666
Four of a kind	4	1247388959088	0.062578	0.250313
Full house	4	526969044936	0.026437	0.105747
Flush	2	339135960696	0.017014	0.034027
Straight	2	1172471987640	0.058820	0.117640
Three of a kind	1	5417992007880	0.271807	0.271807
Nothing	0	11043550669248	0.554027	0.000000
Total	0	19933230517200	1.000000	0.955856

Deuces Wild - 95.19%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	454463052	0.000023	0.018239
Four deuces	200	4083861876	0.000205	0.040975
Wild royal flush	25	38877123144	0.001950	0.048759
Five of a kind	12	61634142144	0.003092	0.037104
Straight flush	7	74311477152	0.003728	0.026096
Four of a kind	4	1252219636692	0.062821	0.251283
Full house	4	526870952568	0.026432	0.105727
Flush	2	336535853316	0.016883	0.033766
Straight	2	1174649525436	0.058929	0.117858
Three of a kind	1	5424530207964	0.272135	0.272135
Nothing	0	11039063273856	0.553802	0.000000
Total	0	19933230517200	1.000000	0.951944

Deuces Wild - 94.97%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	454394352	0.000023	0.018237
Four deuces	200	3999985044	0.000201	0.040134
Wild royal flush	25	38820540840	0.001948	0.048688
Five of a kind	10	61092189576	0.003065	0.030648
Straight flush	8	81617276532	0.004095	0.032756
Four of a kind	4	1245245165052	0.062471	0.249883
Full house	4	526949729064	0.026436	0.105743
Flush	2	339684808692	0.017041	0.034082
Straight	2	1173589847148	0.058876	0.117752
Three of a kind	1	5417690982876	0.271792	0.271792
Nothing	0	11044085598024	0.554054	0.000000
Total	0	19933230517200	1.000000	0.949716

Deuces Wild - 94.82%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	450993948	0.000023	0.018100
Four deuces	200	3735324516	0.000187	0.037478
Wild royal flush	25	37729926768	0.001893	0.047320
Five of a kind	15	63378507144	0.003180	0.047693
Straight flush	10	98739094428	0.004953	0.049535
Four of a kind	4	1256072532792	0.063014	0.252056
Full house	3	419569045980	0.021049	0.063146
Flush	2	349993496016	0.017558	0.035117
Straight	2	1169601247296	0.058676	0.117352
Three of a kind	1	5588975841912	0.280385	0.280385
Nothing	0	10944984506400	0.549082	0.000000
Total	0	19933230517200	1.000000	0.948182

Deuces Wild - 94.58%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	454960452	0.000023	0.018259
Four deuces	200	4083448044	0.000205	0.040971
Wild royal flush	25	39126832008	0.001963	0.049072
Five of a kind	10	61442479536	0.003082	0.030824
Straight flush	7	74418698112	0.003733	0.026134
Four of a kind	4	1250319324588	0.062725	0.250901
Full house	4	526856855544	0.026431	0.105724
Flush	2	336877732164	0.016900	0.033801
Straight	2	1175403701268	0.058967	0.117934
Three of a kind	1	5424701692524	0.272144	0.272144
Nothing	0	11039544792960	0.553826	0.000000
Total	0	19933230517200	1.000000	0.945765

Deuces Wild - 93.37%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	452921244	0.000023	0.018178
Four deuces	200	3819880404	0.000192	0.038327
Wild royal flush	20	36652310952	0.001839	0.036775
Five of a kind	10	61090632456	0.003065	0.030648
Straight flush	8	94446293496	0.004738	0.037905
Four of a kind	4	1249524073416	0.062685	0.250742
Full house	3	415885257804	0.020864	0.062592
Flush	3	421370814732	0.021139	0.063417
Straight	2	1172175563220	0.058805	0.117610
Three of a kind	1	5531577091188	0.277505	0.277505
Nothing	0	10946235678288	0.549145	0.000000
Total	0	19933230517200	1.000000	0.933699

Deuces Wild - 91.42%
Hand	Payoff	Combinations	Probability	Return
Natural royal flush	800	441355116	0.000022	0.017713
Four deuces	200	4053509724	0.000203	0.040671
Wild royal flush	20	34831262928	0.001747	0.034948
Five of a kind	10	62497252536	0.003135	0.031353
Straight flush	8	85894592760	0.004309	0.034473
Four of a kind	4	1281561685932	0.064293	0.257171
Full house	3	420912140400	0.021116	0.063348
Flush	2	331687438332	0.016640	0.033280
Straight	2	1184256077892	0.059411	0.118822
Three of a kind	1	5629556091972	0.282421	0.282421
Nothing	0	10897539109608	0.546702	0.000000
Total	0	19933230517200	1.000000	0.914200

Note: There is a hand in full pay deuces wild which can be played two ways, with the same expected value, but different standard deviation. The table above is based on playing the hand in question the less volatile way. For more information on this hand visit my Deuces Wild Optimal Strategy.