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Charts - Pairs and Overcards

Pocket Pairs and Over Cards by Eric Sprague



Pocket pairs can be great hands in Texas Hold'em. High pairs like AA and KK can win pots without improving. Lower pairs like 22 and 33 often need help but when it arrives the hand can be dominant. For example if you hold 22 then the odds of flopping a set are about 8 to 1. When that 2 does come on the flop you can often win the pot with 3 of a kind. Even better, the 3 of a kind can easily turn into a full house. However, players often get into trouble with low pairs by not getting away from the hand when they don't flop the set.

The chart below shows the odds of one or more over cards coming by the flop, turn or river. Specifically looking at Jacks as an example, the chart shows that when you hold Jacks, the odds of at least one Queen, King or Ace flopping are about 57 percent. Note how things change as the pairs get lower. By the time you get down to 77, the chart shows that it is almost certain that one or more over cards will come on board if the hand plays out to the river.

Note: n/o stands for non overs and o stands for overs
pair brd # tot cards o n/o n/o formula n/o val bet Rnd Rnd o formula Rnd o val
KK 1 50 4 46 46/50 0.92      
KK 2 49 4 45 45/49 0.92  
KK 3 48 4 44 44/48 0.92 flop 1-(46/50)*(45/49)*(44/48) 0.23
KK 4 47 4 43 43/47 0.91 turn 1-(46/50)*(45/49)*(44/48)*(43/47) 0.29
KK 5 46 4 42 42/46 0.91 river 1-(46/50)*(45/49)*(44/48)*(43/47)*(42/46) 0.35
QQ 1 50 8 42 42/50 0.84      
QQ 2 49 8 41 41/49 0.84  
QQ 3 48 8 40 40/48 0.83 flop 1-(42/50)*(41/49)*(40/48) 0.41
QQ 4 47 8 39 39/47 0.83 turn 1-(42/50)*(41/49)*(40/48)*(39/47) 0.51
QQ 5 46 8 38 38/46 0.83 river 1-(42/50)*(41/49)*(40/48)*(39/47)*(38/46) 0.60
JJ 1 50 12 38 38/50 0.76      
JJ 2 49 12 37 37/49 0.76  
JJ 3 48 12 36 36/48 0.75 flop 1-(38/50)*(37/49)*(36/48) 0.57
JJ 4 47 12 35 35/47 0.74 turn 1-(38/50)*(37/49)*(36/48)*(35/47) 0.68
JJ 5 46 12 34 34/46 0.74 river 1-(38/50)*(37/49)*(36/48)*(35/47)*(34/46) 0.76
TT 1 50 16 34 34/50 0.68      
TT 2 49 16 33 33/49 0.67  
TT 3 48 16 32 32/48 0.67 flop 1-(34/50)*(33/49)*(32/48) 0.69
TT 4 47 16 31 31/47 0.66 turn 1-(34/50)*(33/49)*(32/48)*(31/47) 0.80
TT 5 46 16 30 30/46 0.65 river 1-(34/50)*(33/49)*(32/48)*(31/47)*(30/46) 0.87
99 1 50 20 30 30/50 0.60      
99 2 49 20 29 29/49 0.59  
99 3 48 20 28 28/48 0.58 flop 1-(30/50)*(29/49)*(28/48) 0.79
99 4 47 20 27 27/47 0.57 turn 1-(30/50)*(29/49)*(28/48)*(27/47) 0.88
99 5 46 20 26 26/46 0.57 river 1-(30/50)*(29/49)*(28/48)*(27/47)*(26/46) 0.93
88 1 50 24 26 26/50 0.52      
88 2 49 24 25 25/49 0.51  
88 3 48 24 24 24/48 0.50 flop 1-(26/50)*(25/49)*(24/48) 0.87
88 4 47 24 23 23/47 0.49 turn 1-(26/50)*(25/49)*(24/48)*(23/47) 0.94
88 5 46 24 22 22/46 0.48 river 1-(26/50)*(25/49)*(24/48)*(23/47)*(22/46) 0.97
77 1 50 28 22 22/50 0.44      
77 2 49 28 21 21/49 0.43  
77 3 48 28 20 20/48 0.42 flop 1-(22/50)*(21/49)*(20/48) 0.92
77 4 47 28 19 19/47 0.40 turn 1-(22/50)*(21/49)*(20/48)*(19/47) 0.97
77 5 46 28 18 18/46 0.39 river 1-(22/50)*(21/49)*(20/48)*(19/47)*(18/46) 0.99


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