Durango Bill's
Lowball (Low Ball) Poker Probabilities
7 Card Lowball
(Low Ball) Poker Probabilities
for various wild card specifications
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 (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 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 (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 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
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