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Tag: Poker

Showdown Odds

by ace on Sep.09, 2008, under Poker

 

In general:

 Combination Example % (rnd)
 Pair vs one lower life card   AA vs AK  ~90%
 Overpair  AA vs 99  ~80%
 Overpair vs two lower life cards  AA vs KQ  ~80%
 Two non-pairs, "low-high" is paired  AK vs KQ  ~70%
 Two non-pairs, "low-low" is paired  AQ vs KQ  ~70%
 Two non-pairs, "high-high" is paired  AK vs AQ  ~70%
 Pair vs "high-low" life cards  KK vs AQ  ~70%
 Pair vs one higher life card   KK vs AK  ~68%
 Two upper life cards vs two lower life cards  AK vs T9  ~62%
 Four life cards zipped   AQ vs KJ  ~62%
 Two upper life cards vs pair  AK vs 99  ~46%

 

top  2%
5%
8%
10%
15% 20%
25%
AA  80 83 84 84 85 85 84
KK  60 68 71 73 74 75 77
QQ  40 57 64 65 67 69 71
JJ  20 49 57 58 62 65 67
               
AKs  39 48 56 59 62 64 64
AKo  35 45 53 57 60 62 62
TT  19 42 52 53 57 60 62
AQs  34 40 48 53 57 60 61
               
AQo 30 36 45 50 55 58 59
99 19 35 47 49 53 55 57
88 19 33 43 45 50 52 54

 

 

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Some Simple Maths

by ace on Sep.09, 2008, under Poker

 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. 

 Combinations  No  Odds (rnd)  % (rnd)
 13 pairs * 6 78  1 in 17 6%
 13 directly suited connectors * 4 52  1 in 25.5 4%
 10 "one gap" suited connectors * 4 40  1 in 33 3%
 13 directly unsuited connectors * 12  156  1 in 8.5 12%
 12 "one gap" unsuited connectors * 12  144  1 in 9 11%

 

 Combinations No Odds (rnd) % (rnd)
 AA 1 in 221 0.45%
 AKs 1 in 332 0.30%
 AKo 12  1 in 110.5 0.90%
 AX or Ax 198  1 in 6.7 14.93%
 AA-TT or AK, AQ 62  1 in 21 4.67%

 

 Combinations  Odds (rnd)   % (rnd) 
 AK hits on the flop 1 in 4.25 24%
 A pair flops a set 1 in 8.5 12%
 Two suits flop at least two suits 1 in 8.5 12%
 Two pair after flop make FH or better  1 in 6 17%
 A set after flop makes FH or better 1 in 3 33%

 

 Combinations
Odds Turn
% T (rnd) % T and R (rnd)
 Open end straight draw  8 in 47 17%  31%
 Flush draw  9 in 47 19%  35%
 Open end straight flush draw*  15 in 47 32%  54%

 

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