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.