This section contains my intermediate strategy for the "Not So Ugly Ducks" deuces wild game, mostly noted by paying 16 for a 5 of a kind and 10 for a straight flush. The following table shows the probabilities and return based on optimal strategy.
Return Table for NSUD
Hand
Pays
Combinations
Probability
Return
Natural royal flush
800
458740044
0.000023
0.018411
4 deuces
200
3722640204
0.000187
0.037351
Wild royal flush
25
38014202784
0.001907
0.047677
5 of a kind
16
61970767656
0.003109
0.049743
Straight flush
10
102265178496
0.005130
0.051304
4 of a kind
4
1217014431948
0.061055
0.244218
Full house
4
520619308704
0.026118
0.104473
Flush
3
413496638196
0.020744
0.062232
Straight
2
1142019668916
0.057292
0.114585
3 of a kind
1
5327850287628
0.267285
0.267285
Nothing
0
11105798652624
0.557150
0.000000
Total
19933230517200
1.000000
0.997278
Intermediate Strategy
Following is my intermediate strategy. As usual, if a situation isn't listed, don't play it. For example, here are a couple hands you shouldn't play because they are not listed.
Two to a royal flush, ace high, with no deuces. Instead, toss everything
Three to a straight flush, with two gaps, and one deuce. This would include suited 2-3-4, A-2-3, A-2-4, and A-2-5. Instead, keep the deuce only.
4 Deuces
Hand
Expected Return
4 Deuces
200
3 Deuces
Hand
Expected Return
Wild Royal
25
Five of a kind
16
3 deuces
14.344126 to 14.482886
2 Deuces
Hand
Expected Return
Pat Four of a kind to Wild Royal
5.02128 to 25
4 to a RF
4.382979 to 5.06383
4 to a SF: 0 or 1 gap except 34, 35, 46
3.212766 to 3.468085
2 deuces
3.034968 to 3.095035
1 Deuce
Hand
Expected Return
Straight flush to wild royal
10 to 25
4 to a RF
3.489362 to 4.106383
Flush to 4K
3 to 5.0213
4 to a SF: 0 or 1 gap
2.191489 to 2.510638
Straight
2
4 to a SF: 2 gaps
1.9574
3 of a kind
1.888067
4 to a SF: A low
1.680851
3 to a RF: J-K high
1.13136 to 1.379278
3 to a SF: 0 gaps (67 to 9T)
1.108233 to 1.153562
3 to a RF: A high
1.06013 to 1.07308
3 to a SF: 1 gap (57 to 9J), 45, 56
1.010176 to 1.074931
4 to a straight: 0 gaps (567 to TJQ)
1
1 deuce
0.990867 to 1.026446
0 Deuces
Hand
Expected Return
Royal flush
800
4 to a RF
19.659574 to 20
3 of a kind through straight flush
1.888067 to 10
4 to a SF
1.638298 to 1.914894
3 to a RF
1.304348 to 1.517114
4 to a flush
0.765957
2 pair
0.680851
3 to a SF: 0 gaps (567 to 9TJ)
0.547641 to 0.592044
Pair
0.546778
4 to a straight: 0 gaps (4567 to TJQK)
0.510638
3 to a SF: 1 or 2 gaps, 345, 456
0.412581 to 0.509713
2 to a RF: J or Q high
0.344249 to 0.407956
3 to a SF: A low
0.33765 to 0.345051
4 to a straight: 1 gap, 3456
0.340426
2 to a RF: K high
0.323343 to 0.341351
Toss everything
0.313949 to 0.332771
Play For Fun
Practice playing Not So Ugly Ducks on my free Java game.
