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Durango Bill's
Lowball (Low Ball) Poker Probabilities




8 Card, 9 Card, and 10 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 8 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.


8 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             9,856,000      0.01309701
Six high             35,563,520      0.04725810
Seven high           74,019,840      0.09836025
Eight high          113,971,200      0.15144907
Nine high           140,851,200      0.18716819
Ten high            143,216,640      0.19031147
Jack high           118,487,040      0.15744988
Queen high           75,694,080      0.10058504
King high            32,947,200      0.04378143
Pair or worse         7,931,430      0.01053957

Total               752,538,150      1.00000000
= COMBIN(52,8)




8 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            21,554,304      0.02431880
Six high             51,093,760      0.05764690
Seven high           95,178,240      0.10738554
Eight high          137,827,200      0.15550453
Nine high           163,681,280      0.18467459
Ten high            161,677,824      0.18241417
Jack high           130,667,520      0.14742657
Queen high           81,713,280      0.09219360
King high            34,777,600      0.03923808
Pair or worse         8,151,702      0.00919722

Total               886,322,710      1.00000000
= COMBIN(53,8)



8 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            39,007,056      0.03748999
Six high             69,992,400      0.06727026
Seven high          119,709,240      0.11505351
Eight high          164,644,200      0.15824086
Nine high           188,785,632      0.18144338
Ten high            181,629,984      0.17456603
Jack high           143,634,600      0.13804836
Queen high           88,025,080      0.08460161
King high            36,663,440      0.03523753
Pair or worse         8,374,158      0.00804847

Total             1,040,465,790      1.00000000
= COMBIN(54,8)



8 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            33,214,800      0.04413703
Six high             58,348,240      0.07753526
Seven high           97,489,080      0.12954703
Eight high          130,018,280      0.17277301
Nine high           142,971,360      0.18998553
Ten high            129,591,840      0.17220634
Jack high            57,477,540      0.07637824
Queen high           68,547,120      0.09108790
King high            28,496,820      0.03786761
Pair or worse         6,383,070      0.00848206

Total               752,538,150      1.00000000
= COMBIN(52,8)




8 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            24,755,612      0.03289616
Six high             45,263,133      0.06014729
Seven high           81,436,729      0.10821608
Eight high          116,759,205      0.15515387
Nine high           138,182,241      0.18362158
Ten high            135,995,757      0.18071610
Jack high           109,075,913      0.14494403
Queen high           67,143,029      0.08922209
King high            27,735,665      0.03685616
Pair or worse         6,190,866      0.00822665

Total               752,538,150      1.00000000
= COMBIN(52,8)




8 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           113,417,757      0.10900671
Six high            107,864,298      0.10366924
Seven high          149,937,010      0.14410566
Eight high          177,112,730      0.17022446
Nine high           178,028,130      0.17110426
Ten high            149,636,298      0.14381664
Jack high            62,413,400      0.05998602
Queen high           70,405,598      0.06766738
King high            26,469,206      0.02543977
Pair or worse         5,181,363      0.00497985

Total             1,040,465,790      1.00000000
= COMBIN(54,8)




9 Card Lowball Poker Probabilities

   The tables below show the probabilities of being dealt various lowball Poker hands with different wild card specifications. Each Poker hand consists of the best 5 cards from a 9 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.


9 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            91,126,080      0.02476874
Six high            293,736,000      0.07983962
Seven high          538,618,560      0.14640052
Eight high          717,886,400      0.19512685
Nine high           750,512,000      0.20399473
Ten high            625,806,720      0.17009891
Jack high           406,492,800      0.11048776
Queen high          191,368,320      0.05201533
King high            55,915,200      0.01519817
Pair or worse         7,613,320      0.00206936

Total             3,679,075,400      1.00000000
= COMBIN(52,9)




9 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           197,599,760      0.04458867
Six high            415,844,320      0.09383587
Seven high          684,142,080      0.15437765
Eight high          858,581,360      0.19374012
Nine high           862,942,976      0.19472433
Ten high            698,975,424      0.15772481
Jack high           443,312,640      0.10003414
Queen high          204,148,560      0.04606642
King high            58,312,320      0.01315826
Pair or worse         7,754,110      0.00174973

Total             4,431,613,550      1.00000000
= COMBIN(53,9)



9 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           356,442,464      0.06702646
Six high            563,093,120      0.10588565
Seven high          851,507,520      0.16011992
Eight high        1,015,541,408      0.19096532
Nine high           985,645,696      0.18534365
Ten high            777,438,720      0.14619181
Jack high           482,183,040      0.09067108
Queen high          217,428,640      0.04088591
King high            60,760,128      0.01142551
Pair or worse         7,895,524      0.00148470

Total             5,317,936,260      1.00000000
= COMBIN(54,9)



9 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           287,194,720      0.07806166
Six high            440,752,000      0.11979966
Seven high          645,801,920      0.17553376
Eight high          738,879,008      0.20083280
Nine high           677,869,696      0.18425001
Ten high            493,725,696      0.13419831
Jack high           176,937,840      0.04809302
Queen high          165,884,080      0.04508852
King high            46,145,792      0.01254277
Pair or worse         5,884,648      0.00159949

Total              3,679,075,400     1.00000000
= COMBIN(52,9)




9 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           218,310,256      0.05933835
Six high            352,923,704      0.09592728
Seven high          563,756,176      0.15323311
Eight high          702,499,992      0.19094471
Nine high           704,389,776      0.19145837
Ten high            568,255,992      0.15445620
Jack high           357,057,424      0.09705086
Queen high          161,447,256      0.04388256
King high            44,722,832      0.01215600
Pair or worse         5,711,992      0.00155256

Total             3,679,075,400      1.00000000
= COMBIN(52,9)




9 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           954,790,558      0.17954156
Six high            766,999,812      0.14422885
Seven high          936,352,900      0.17607449
Eight high          948,976,548      0.17844827
Nine high           794,490,340      0.14939824
Ten high            534,576,644      0.10052333
Jack high           179,408,656      0.03373652
Queen high          158,183,176      0.02974522
King high            39,665,336      0.00745878
Pair or worse         4,492,290      0.00084474

Total             5,317,936,260      1.00000000
= COMBIN(54,9)






10 Card Lowball Poker Probabilities

   Just in case anyone is interested in what kind of a 5-card lowball Poker hand you can get out of a total deal of 10 cards, the computer program can also tabulate these results.


Data from this page may be freely used provided it includes an acknowledgement to the author.


10 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           658,829,280      0.04164528
Six high          1,893,034,080      0.11966063
Seven high        3,050,318,880      0.19281379
Eight high        3,508,367,520      0.22176752
Nine high         3,091,197,760      0.19539779
Ten high          2,104,409,664      0.13302190
Jack high         1,067,774,400      0.06749512
Queen high          368,575,680      0.02329805
King high            71,961,120      0.00454874
Pair or worse         5,555,836      0.00035119

Total            15,820,024,220      1.00000000
= COMBIN(54,10)





Also please see 5 card lowball Poker probabilities

Also please see 6 card lowball Poker probabilities

Also please see 7 card lowball Poker probabilities

Return to the main lowball Poker probabilities page

Return to the main Poker probabilities page

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