6 Card
Lowball (Low Ball) Poker Probabilities
for various wild card specifications
The tables below show the probabilities of being
dealt various lowball Poker hands with different wild card
specifications. Each Poker hand consists of selecting the 5
best cards from a random 6 card deal.
The introduction of wild cards greatly
complicates the calculations. Thus, to produce the results
shown here, the author wrote a computer program that would
generate all possible Poker hands. Each of these Poker hands
was evaluated for the lowest high card (or worse - if pairs
exist). Wild cards are automatically assigned the lowest ranks
that do not match any other rank.
Data from this page may be freely used provided it includes an
acknowledgement to the author.
6 card lowball Poker probabilities if there
are no wild cards
(Computer program and data by Bill Butler)
Lowball
Hand
Nbr of Hands Probability
-----------------------------------------------
Five
high
40,448
0.00198678
Six
high
181,760
0.00892796
Seven
high
483,840
0.02376597
Eight
high
985,600
0.04841216
Nine
high
1,684,480
0.08274079
Ten
high
2,515,968
0.12358305
Jack
high
3,333,120
0.16372113
Queen
high
3,886,080 0.19088224
King
high
3,801,600
0.18673263
Pair or
worse
3,445,624 0.16924727
Total
20,358,520
1.00000000
= COMBIN(52,6)
6 card lowball Poker probabilities if one
ordinary Joker is added to the deck
In lowball Poker, a Joker/wild card can be used to fill in any
unused rank.
(Computer program and data by Bill Butler)
Lowball
Hand
Nbr of Hands Probability
-----------------------------------------------
Five
high
90,112
0.00392517
Six
high
268,800
0.01170860
Seven
high
637,440
0.02776611
Eight
high
1,218,560 0.05307900
Nine
high
1,999,872
0.08711200
Ten
high
2,903,040
0.12645290
Jack
high
3,763,200
0.16392043
Queen
high
4,308,480 0.18767217
King
high
4,139,520
0.18031247
Pair or
worse
3,628,456 0.15805114
Total
22,957,480
1.00000000
= COMBIN(53,6)
6 card lowball Poker probabilities if two
Jokers are added to the deck
In lowball Poker, a Joker/wild card can be used to fill in any
unused rank.
(Computer program and data by Bill Butler)
Lowball
Hand
Nbr of Hands Probability
-----------------------------------------------
Five
high
164,416
0.00636601
Six
high
376,640
0.01458309
Seven
high
818,400
0.03168757
Eight
high
1,484,448 0.05747623
Nine
high
2,352,000
0.09106691
Ten
high
3,328,128
0.12886153
Jack
high
4,229,280
0.16375316
Queen
high
4,760,800 0.18433305
King
high
4,496,448
0.17409762
Pair or
worse
3,816,605 0.14777483
Total
25,827,165
1.00000000
= COMBIN(54,6)
6 card lowball Poker probabilities with One-eyed Jacks wild
In lowball Poker, a Joker/wild card can be used to fill in any
unused rank.
(Computer program and data by Bill Butler)
Lowball
Hand
Nbr of Hands Probability
-----------------------------------------------
Five
high
155,968
0.00766107
Six
high
354,880
0.01743152
Seven
high
765,280
0.03759016
Eight
high
1,374,240 0.06750196
Nine
high
2,147,712
0.10549451
Ten
high
2,979,456
0.14634934
Jack
high
1,974,960
0.09700902
Queen
high
3,863,040 0.18975053
King
high
3,677,872
0.18065518
Pair or
worse
3,065,112 0.15055672
Total
20,358,520
1.00000000
= COMBIN(52,6)
6 card lowball Poker probabilities with Deuces
(2’s) wild
If deuces are wild, then holding a single deuce
in your hand is not much different than lowball Poker with
nothing wild. However, if you have two or more deuces, then
one of them can fill in the natural omission of a “2” while
the others can fill in other blank ranks.
(Computer program and data by Bill Butler)
Lowball
Hand
Nbr of Hands Probability
-----------------------------------------------
Five
high
111,608
0.00548213
Six
high
258,550
0.01269984
Seven
high
586,662
0.02881653
Eight
high
1,104,918 0.05427300
Nine
high
1,804,614
0.08864171
Ten
high
2,615,094
0.12845207
Jack
high
3,383,270
0.16618448
Queen
high
3,853,142 0.18926435
King
high
3,645,318
0.17905614
Pair or
worse
2,995,344 0.14712975
Total
20,358,520
1.00000000
= COMBIN(52,6)
6 card lowball Poker probabilities with 2
Jokers,
One-eyed Jacks, and Deuces (2’s) wild
(8 out of 54 cards are wild)
(Computer program and data by Bill Butler)
Lowball
Hand
Nbr of Hands Probability
-----------------------------------------------
Five
high
564,540
0.02185838
Six
high
736,020
0.02849790
Seven
high
1,317,940 0.05102922
Eight
high
2,097,876 0.08122750
Nine
high
3,011,316
0.11659491
Ten
high
3,913,364
0.15152124
Jack
high
2,466,086
0.09548419
Queen
high
4,656,964 0.18031263
King
high
4,139,556
0.16027915
Pair or
worse
2,923,503 0.11319489
Total
25,827,165
1.00000000
= COMBIN(54,6)
Also
please
see 5 card lowball Poker probabilities
Also
please
see 7 card lowball Poker probabilities
Also
please
see 8 card, 9 card, and 10 card lowball Poker probabilities
Return
to
the main lowball Poker probabilities page
Return to the
main Poker probabilities page
Return to Durango Bill’s
home page
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