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Durango Bill's
Lowball (Low Ball) Poker Probabilities



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 (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               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 (2ís) 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

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