June 07, 2010
Intro to Deuce 5
Hand Distribution
Before discussing the pat side of the 1:0 and 0:1 spots, I just wanted to post this as I'm not sure it's enumerated this far elsewhere. Impress your friends by telling them their #372 is no good. :)
Hand//ways to make//worst hand rank in group
75432//1//#1
76xxx//3//#4
Any 7: 0.16%
85432//1//#5
86xxx//4//#9
87xxx//9//#18
8 or better: 0.71%
95432//1//#19
96xxx//4///#23
97xxx//10//#33
98xxx//19//#52
9 or better: 2.04%
T5432//1//#53
T6xxx//4///#57
T7xxx//10//#67
T8xxx//20//#87
T9xxx//34//#121
T or better: 4.75%
J5432//1//#122
J6xxx//4//#126
J7xxx//10//#136
J8xxx//20//#156
J9xxx//35//#191
JTxxx//55//#246
J or better: 9.65%
Q5432//1//#247
Q6xxx//4//#251
Q7xxx//10//#261
Q8xxx//20//#281
Q9xxx//35//#316
QTxxx//56//#372
QJxxx//83//#455
Q or better: 17.86%
K5432//1//#456
K6xxx//4//#460
K7xxx//10//#470
K8xxx//20//#490
K9xxx//35//#525
KTxxx//56//#581
KJxxx//84//#665
KQxxx//119///784
K or better: 30.77%
A5xxx//1//#785
A6xxx//4//#789
A7xxx//10//#799
A8xxx//20//#819
A9xxx//35//#854
ATxxx//56//#910
AJxxx//84//#994
AQxxx//120//#1114
AKxxx//164//#1278
Any unpaired, non flush, non-straight hand (A or better): 50.16%
Some other info:
Each unique hand, 86532 for example has 1020 possible ways it can be made and represents 0.04% of total hands (There are 52c5 ways to make a 5 card hand = 2598960 combos).
1cds to 7s make up 1.77% of hands
1cds to 8s make up 4.73% of hands
2cds to 7s make up 9.70% of hands
When trying to determine what types of hands your opponents will take certain lines with, think about these combinations before making a decision. Think about how many worse hands of the same rank he'll call you with and hands from other ranks. You can also get an idea of the relative frequencies of each hand and if you wanted to create a target VPIP/PFR for each spot you could probably do it with a little more info, but I'll leave that to you.

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