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Durango Bill's
Lowball (Low Ball) Poker Probabilities




5 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 dealing 5 random cards.

   While the results on the main Lowball Poker Probabilities page can be calculated via direct combinatorics, 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.


5 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                 1,024      0.00039400
Six high                  5,120      0.00197002
Seven high               15,360      0.00591006
Eight high               35,840      0.01379013
Nine high                71,680      0.02758026
Ten high                129,024      0.04964447
Jack high               215,040      0.04964447
Queen high              337,920      0.13002124
King high               506,880      0.13002124
Pair or worse         1,281,072      0.49291717

Total                 2,598,960      1.00000000
= COMBIN(52,5)






5 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                 2,304      0.00080288
Six high                  7,680      0.00267625
Seven high               20,480      0.00713667
Eight high               44,800      0.01561147
Nine high                86,016      0.02997402
Ten high                150,528      0.05245454
Jack high               245,760      0.08564006
Queen high              380,160      0.13247447
King high               563,200      0.19625847
Pair or worse         1,368,757      0.17697117

Total                 2,869,685      1.00000000
= COMBIN(53,5)



5 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                 4,224      0.00133565
Six high                 10,880      0.00344031
Seven high               26,560      0.00839839
Eight high               55,104      0.01742413
Nine high               102,144      0.03229840
Ten high                174,336      0.05512583
Jack high               279,360      0.08833490
Queen high              425,920      0.13467784
King high               623,744      0.19723068
Pair or worse         1,460,238      0.46173388

Total                 3,162,510      1.00000000
= COMBIN(54,5)



5 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. Note that the raw counts repeat the above results for all hands 10-high or better.

(Computer program and data by Bill Butler)

Lowball Hand       Nbr of Hands     Probability
-----------------------------------------------
Five high                 4,224      0.00162527
Six high                 10,880      0.00418629
Seven high               26,560      0.01021947
Eight high               55,104      0.02120233
Nine high               102,144      0.03930187
Ten high                174,336      0.06707914
Jack high               139,680      0.05374457
Queen high              352,640      0.13568504
King high               524,832      0.20193924
Pair or worse         1,208,560      0.46501678

Total                 2,598,960      1.00000000
= COMBIN(52,5)




5 card lowball Poker probabilities with Deuces (2ís) 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 ď2Ē while the others can fill in other blank ranks.

(Computer program and data by Bill Butler)

Lowball Hand       Nbr of Hands     Probability
-----------------------------------------------
Five high                 2,960      0.00113892
Six high                  7,684      0.00113892
Seven high               19,524      0.00751224
Eight high               41,988      0.01615569
Nine high                80,196      0.03085696
Ten high                140,292      0.05398005
Jack high               229,444      0.08828301
Queen high              355,844      0.13691784
King high               528,708      0.20343060
Pair or worse         1,192,320      0.45876812

Total                 2,598,960      1.00000000
= COMBIN(52,5)




5 card lowball Poker probabilities with 2 Jokers,
One-eyed Jacks, and Deuces (2ís) wild
(8 out of 54 cards are wild)



(Computer program and data by Bill Butler)

Lowball Hand       Nbr of Hands     Probability
-----------------------------------------------
Five high                15,768      0.00498591
Six high                 23,832      0.00753579
Seven high               48,280      0.01526635
Eight high               88,856      0.02809667
Nine high               151,704      0.04796949
Ten high                243,992      0.07715138
Jack high               186,956      0.05911633
Queen high              462,296      0.14618009
King high               667,608      0.21110068
Pair or worse         1,273,218      0.40259730

Total                 3,162,510      1.00000000
= COMBIN(54,5)

Also please see 6 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


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