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
(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
Return to the main
Poker probabilities page
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home page
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