Heads Up Poker Survival Odds

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 calculated
the exact W/L/T values for all these (and boy are my arms tired).

From this, it isn't hard to calculate the expectation of any two card hand. The exact ranking of all 169 hands is given below. It is
interesting 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, while
I think Justin's table counted ties as 1.

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

AA0.8520371A4s0.5903364K50.533139796s0.4742829850.4142753
KK0.8239568A70.5884120J90.5325120J2s0.473781564s0.413333
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
ATs0.6460239QT0.5729078Q60.510240576s0.4537177920.3909700
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

* Originally posted on rec.gambling.poker