Sep 09

General Showndown Odds:

CombinationExample% (rnd)
Pair vs one lower life card AA vs AK ~90%
OverpairAA vs 99~80%
Overpair vs two lower life cardsAA vs KQ ~80%
Two non-pairs, "low-high" is pairedAK vs KQ~70%
Two non-pairs, "low-low" is pairedAQ vs KQ ~70%
Two non-pairs, "high-high" is pairedAK vs AQ~70%
Pair vs "high-low" life cardsKK vs AQ~70%
Pair vs one higher life cardKK vs AK~68%
Two upper life cards vs two lower life cardsAK vs T9~62%
Four life cards zippedAQ vs KJ~62%
Two upper life cards vs pairAK vs 99~46%

 

Hole Cards versus a Certain Range:

top 2%
5%8%
10%
15%20%
25%
AA 80838484858584
KK 60687173747577
QQ 40576465676971
JJ 20495758626567
AKs 39485659626464
AKo 35455357606262
TT 19425253576062
AQs 34404853576061
AQo30364550555859
9919354749535557
8819334345505254
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Sep 09

Numbers are pretty dry for most of us – except for some rare mathematics nerds – but a showing a few of them might help when facing a bad run of “unplayable” pocket cards.

A poker deck usually has 52 cards (2, 3, 4, 5, 6, 7, 8, 9, T, J, Q, K, A with 4 colours each).

Dealt two cards there are 1326 (52*51/2) combinations.

Hole Cards I

Combinations No Odds (rnd) % (rnd)
13 pairs * 6781 in 176%
13 directly suited connectors * 4521 in 25.54%
10 "one gap" suited connectors * 4401 in 333%
13 directly unsuited connectors * 12 1561 in 8.512%
12 "one gap" unsuited connectors * 12 1441 in 911%

 

Hole Cards II

CombinationsNoOdds (rnd)% (rnd)
AA61 in 2210.45%
AKs41 in 3320.30%
AKo121 in 110.50.90%
AX or Ax1981 in 6.714.93%
AA-TT or AK, AQ621 in 214.67%

 

Flop

Combinations Odds (rnd) % (rnd)
AK hits on the flop1 in 4.2524%
A pair flops a set1 in 8.512%
Two suits flop at least two suits1 in 8.512%
Two pair after flop make FH or better1 in 617%
A set after flop makes FH or better1 in 333%

 

Turn and River

CombinationsOdds Turn% T (rnd)% T and R (rnd)
Open end straight draw 8 in 4717% 31%
Flush draw 9 in 4719% 35%
Open end straight flush draw* 15 in 4732% 54%
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