Poker Heads Up Calculator

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Heads Up NL Preflop Hand Ranges

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Posted on Nov 15, 2008 by Gugel in Preflop

I can almost immediately tell how good my opponent is by their preflop hand selection. A good opponent is aware of the advantages of position. He’ll be aggressive on the button and tight in the BB. Just how aggressive should you be on the button and how tight should you be in the big blind? Well, that’s subject to a lot of debate on the forums of many poker websites.

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Some of the best players will raise 100% of the time when they are on the button. Against weak-tight opponents, that might indeed be the best strategy. From the button, I usually throw away complete junk and stick to about the top 70% of hands and I occasionally mix it up a bit.

Preflop Hand Range on the Button:

It’s important to be a lot tighter in the BB than on the button. I typically play around the top 25% of hands from the BB. Position gives you a tremendous advantage and hands that are quite profitable on the button suddenly become unplayable out of position. Position is the most powerful weapon in your poker arsenal. Always remember that. That being said, here is my typical BB preflop range:

Preflop Hand Range on the Big Blind:

HU Big Blind Starting Hands

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So if you’re up against an opponent that is as loose from the BB as he is from the button, you hit the jackpot.

If an opponent is tight on the button, he’s giving up the most powerful weapon in his poker arsenal. You can safely assume he’s not very good.

In my next post, I’ll talk about common mistakes people make when analyzing an opponent’s stats in heads up play.

Posted to Rec.Gambling.Poker, 5 Feb 95 16:34:12
Copyright © 1995,1998, Jazbo Enterprises

Has anyone calculated the chance that any particular 2-card hand willbeat any randomly-dealt 2-card hand for all the possible random boards?I'd like to know for judging the relative value of 2-card hands.

There are 47,008 possible distinct head-to-head matchups. I have calculatedthe exact W/L/T values for all these (and boy are my arms tired).

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From this, it isn't hard to calculate the expectation of any two cardhand. The exact ranking of all 169 hands is given below. It isinteresting to compare these values with Justin Cases' table in_Percentage Hold'Em_, which used simulation to estimate the hand values.I think the main difference is that I counted ties as worth 1/2, whileI think Justin's table counted ties as 1.

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Note: These numbers do not give necessarily indicate how handsmatch up against each other, but how each hand will do independentlyagainst a random, unknown hand.For example, Q7s (0.5430) ranks just above K6off (0.5422) in thetable. That means, if you all-in preflop against an unknown hand, youwould pick Q7s instead of K6off. However, if you have a propositionbet where you can take either Qd7d or Kh6c against each other,then you should take Kh6c, since it is favored against Qd7d.

Odds

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AA0.8520371A4s0.5903364K50.533139796s0.4742829850.4142753
KK0.8239568A70.5884120J90.5325120J2s0.473781564s0.4133332
QQ0.7992516K8s0.5831235K2s0.5321173Q20.472954483s0.4087350
JJ0.7746947A3s0.5822032Q5s0.5276941T5s0.4721626940.4067105
TT0.7501178QJ0.5813469T8s0.5233437J50.4718089750.4051197
990.7205725K90.5781192K40.5232747T4s0.465304982s0.4027163
880.6916304A50.5769653J7s0.5232478970.462978173s0.4003594
AKs0.6704463A60.5768245Q4s0.518553086s0.4624327930.4001951
770.6623602Q9s0.5766432Q70.5176567J40.4618638650.3994430
AQs0.6620886K7s0.5753774T90.5153167T60.460920053s0.3969296
AJs0.6539268JTs0.5752786J80.514901695s0.457218763s0.3953356
AK0.6532007A2s0.5737890K30.5142569T3s0.4569251840.3944679
ATs0.6460239QT0.5729078Q60.510240576s0.4537177920.3909794
AQ0.6443184440.5702282Q3s0.5101925J30.452755443s0.3864195
AJ0.6356326A40.567296898s0.5080076870.4505081740.3854983
KQs0.6340040K6s0.5664074T7s0.5063904T2s0.448394872s0.3815589
660.6328475K80.5602017J6s0.506059185s0.4454499540.3815529
A9s0.6278121Q8s0.5601773K20.5050872960.4449135640.3801049
AT0.6272165A30.5584460220.5033402J20.443484752s0.3784933
KJs0.6256734K5s0.5579292Q2s0.5016904T50.442509562s0.3766896
A8s0.6194381J9s0.5566247Q50.501200894s0.4386197830.3748381
KTs0.6178856Q90.5536043J5s0.499868575s0.436755442s0.3682901
KQ0.6145580JT0.5524770T80.4972127T40.4350411820.3682767
A7s0.6098396K70.5518735J70.496819393s0.4326426730.3660226
A90.6077281A20.5492856Q40.4912768860.4324090530.3626477
KJ0.6056869K4s0.548846497s0.491177365s0.4313339630.3607763
550.6032492Q7s0.5430226J4s0.490704584s0.427016332s0.3598443
QJs0.6025921K60.5422328T6s0.4894068950.4266914430.3514589
K9s0.5998848K3s0.5405498J3s0.4823162T30.4259455720.3458365
A5s0.5992293T9s0.5402753Q30.482194492s0.4241517520.3428465
A6s0.5990583J8s0.5401564980.4809703760.4232275620.3407514
A80.5987261330.536930887s0.479363474s0.4184931420.3319975
KT0.5973892Q6s0.5361257T70.4790814T20.4166835320.3230323
QTs0.5946756Q80.5359979J60.478442754s0.4145342