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Durango Bill's
Lowball (Low Ball) Poker Probabilities




7 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 7 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.


7 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               781,824      0.00584390
Six high              3,151,360      0.02355548
Seven high            7,426,560      0.05551134
Eight high           13,171,200      0.09845082
Nine high            19,174,400      0.14332297
Ten high             23,675,904      0.17697038
Jack high            24,837,120      0.18565012
Queen high           21,457,920      0.16039160
King high            13,939,200      0.10419140
Pair or worse         6,169,072      0.04611199

Total               133,784,560      1.00000000
= COMBIN(52,7)



7 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             1,725,312      0.01119293
Six high              4,593,920      0.02980296
Seven high            9,666,560      0.06271161
Eight high           16,105,600      0.10448474
Nine high            22,521,856      0.14611007
Ten high             27,019,776      0.17529023
Jack high            27,709,440      0.17976441
Queen high           23,464,320      0.15222428
King high            14,924,800      0.09682433
Pair or worse         6,411,496      0.04159445

Total               154,143,080      1.00000000
= COMBIN(53,7)



7 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             3,134,304      0.01769788
Six high              6,365,280      0.03594161
Seven high           12,284,560      0.06936489
Eight high           19,429,424      0.10970843
Nine high            26,230,848      0.14811273
Ten high             30,662,592      0.17313662
Jack high            30,794,160      0.17387952
Queen high           25,589,520      0.14449147
King high            15,951,584      0.09007077
Pair or worse         6,658,288      0.03759609

Total               177,100,560      1.00000000
= COMBIN(54,7)




7 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             2,818,144      0.02106479
Six high              5,644,640      0.04219201
Seven high           10,727,440      0.08018444
Eight high           16,625,840      0.12427323
Nine high            21,833,280      0.16319731
Ten high             24,529,344      0.18334959
Jack high            13,352,280      0.09980434
Queen high           20,342,240      0.15205222
King high            12,708,344      0.09499111
Pair or worse         5,203,008      0.03889095

Total               133,784,560      1.00000000
= COMBIN(52,7)




7 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             2,058,512      0.01538677
Six high              4,243,092      0.03171586
Seven high            8,581,492      0.06414411
Eight high           14,119,476      0.10553891
Nine high            19,660,500      0.14695642
Ten high             23,520,084      0.17580567
Jack high            23,996,852      0.17936937
Queen high           20,089,332      0.15016181
King high            12,458,516      0.09312372
Pair or worse         5,056,704      0.03779737

Total               133,784,560      1.00000000
= COMBIN(52,7)



7 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             9,900,888      0.05590546
Six high             11,063,352      0.06246932
Seven high           17,473,080      0.09866191
Eight high           23,991,800      0.13546993
Nine high            28,863,352      0.16297719
Ten high             30,212,280      0.17059393
Jack high            15,545,488      0.08777775
Queen high           22,598,344      0.12760176
King high            12,903,784      0.07286134
Pair or worse         4,548,192      0.02568141

Total               177,100,560      1.00000000
= COMBIN(54,7)

Also please see 5 card lowball Poker probabilities

Also please see 6 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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