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General Poker Discussion >> Poker Theory

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David Sklansky
enthusiast

Reged: 08/28/02
Posts: 241
\$200 Stipend to Expand A8 Result
#382772 - 10/24/03 03:25 AM

With a one and two dollar blind we now know that A8offsuit in the SB, is better off moving in up to about 70 dollars more (even if the big blind saw his cards) than he would be folding. If we thus say A8 has a rating of 70 or so, what are the ratings for all other hands?

To make sure you understand, notice that 32 has a rating of one while slightly better hands have a rating of two. Thats because you are getting 3-1 if you put in one and 4-2 if you put in two.(Obviously the big blind would always call in this case). Fairly poor hands would be rated three, getting 5-3 odds. At the other extreme, two kings would have a rating of about 1000. Since it will pick up the pot unless the big blind has kings or aces and will win some of those hands too.

If someone can tell me the "rating" for all hands (I would assume with the help of a computer program), I'll send them \$200 and give them credit whenever I write about those results.

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Mangatang
enthusiast

Reged: 12/07/02
Posts: 289
Loc: New Orleans
Re: \$200 Stipend to Expand A8 Result [Re: David Sklansky]
#382916 - 10/24/03 09:20 AM

Are these assumptions correct?

1. This is a no limit game where everyone folded to the SB (or it's a head-to-head match up between SB and BB).

2. BB will only call your raise. He will not re-raise.

3. BB has an unlimited stack (or at least big enough to cover up to SB's KK hand).

4. BB can always see your hand and will only call if his hand is better than yours.

Also, how do "we" know that A8o is worth a \$70 bet?

I'm just trying to fully understand the situation.

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Nottom
Carpal \'Tunnel

Reged: 02/10/03
Posts: 4030
Loc: Hokie Country
Re: \$200 Stipend to Expand A8 Result [Re: Mangatang]
#382928 - 10/24/03 09:35 AM

1) yes
2) you are all-in, so re-raising is pretty pointless
3) yes
4) after you push all-in you will reveal you hand so that you will only be called by a better hand (or on the extreme low end of the scall by a hand with odds to draw out on you)

A8 was solved in the previous thread, I'd suggest checking it out if you haven't already.

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Mangatang
enthusiast

Reged: 12/07/02
Posts: 289
Loc: New Orleans
Thanks (N/M) [Re: Nottom]
#382945 - 10/24/03 09:57 AM

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karlson
enthusiast

Reged: 09/18/02
Posts: 233
Re: \$200 Stipend to Expand A8 Result [Re: David Sklansky]
#383367 - 10/24/03 03:05 PM

Here is what I could come up with.
I noticed some slightly funny things in some other output, so these numbers might be barely off. I would expect that error to be no more than 1% or so.
BTW, kudos to pokersource for making the programming easy. Anyone doing any programming for poker purposes is probably best off starting off with their classes for hand evaluation and such.

22o 49.097373
32o 1.831860
32s 2.577355
33o 67.023645
42o 1.982895
42s 2.806653
43o 2.374371
43s 3.415791
44o 84.187055
52o 2.188207
52s 3.125558
53o 2.648645
53s 3.865458
54o 3.232330
54s 4.870879
55o 101.605019
62o 2.145689
62s 3.064287
63o 2.598784
63s 3.789969
64o 3.180263
64s 4.787757
65o 3.986211
65s 6.235193
66o 119.316820
72o 2.249071
72s 3.230863
73o 2.739177
73s 4.030750
74o 3.376566
74s 5.128923
75o 4.283982
75s 6.623716
76o 5.460449
76s 8.361698
77o 140.163654
82o 2.802784
82s 4.142291
83o 3.002894
83s 4.478709
84o 3.749197
84s 5.715560
85o 4.829605
85s 7.271507
86o 6.124065
86s 9.041014
87o 7.537942
87s 11.179617
88o 166.688882
92o 3.594775
92s 5.379643
93o 4.012116
93s 6.084035
94o 4.359892
94s 6.611112
95o 5.672884
95s 8.300009
96o 7.103121
96s 10.150592
97o 8.608650
97s 12.327652
98o 10.323988
98s 15.411158
99o 202.125049
T2o 4.848555
T2s 7.578143
T3o 5.501484
T3s 8.458991
T4o 6.274183
T4s 9.307921
T5o 6.949192
T5s 9.998652
T6o 8.609867
T6s 11.987398
T7o 10.253090
T7s 14.292145
T8o 12.223835
T8s 17.604507
T9o 14.930978
T9s 22.719979
TTo 256.815721
J2o 6.918703
J2s 11.204161
J3o 7.953932
J3s 12.109628
J4o 8.950459
J4s 13.032748
J5o 10.037694
J5s 14.134238
J6o 10.834186
J6s 14.809842
J7o 12.733956
J7s 17.316844
J8o 14.958200
J8s 20.810695
J9o 17.927646
J9s 25.981496
JTo 23.299660
JTs 36.628034
JJo 349.934987
Q2o 11.376900
Q2s 16.752437
Q3o 12.582989
Q3s 17.858401
Q4o 13.747946
Q4s 19.055679
Q5o 15.130340
Q5s 20.478763
Q6o 16.399874
Q6s 21.963309
Q7o 17.188395
Q7s 22.876650
Q8o 19.964644
Q8s 26.981677
Q9o 23.619890
Q9s 32.907071
QTo 30.036653
QTs 44.501932
QJo 33.204524
QJs 50.394333
QQo 550.087512
K2o 20.156245
K2s 26.980395
K3o 21.565057
K3s 28.660021
K4o 23.035466
K4s 30.475611
K5o 24.895185
K5s 32.657479
K6o 26.919787
K6s 35.300209
K7o 28.816285
K7s 37.796916
K8o 30.783568
K8s 40.437905
K9o 36.174856
K9s 48.564953
KTo 45.608339
KTs 64.095478
KJo 51.680575
KJs 74.338025
KQo 59.890903
KQs 89.067516
KKo 1290.323929
A2o 45.819455
A2s 59.197471
A3o 49.181824
A3s 63.478775
A4o 52.777483
A4s 68.020727
A5o 57.523826
A5s 73.895079
A6o 57.113411
A6s 72.267638
A7o 63.940106
A7s 81.074772
A8o 72.472249
A8s 92.302133
A9o 83.718586
A9s 107.386334
ATo 109.651660
ATs 144.726683
AJo 141.893786
AJs 193.397544
AQo 203.934890
AQs 297.477185
AKo 366.480212
AKs 658.056504
AAo Infinite

 Post Extras:
Nottom
Carpal \'Tunnel

Reged: 02/10/03
Posts: 4030
Loc: Hokie Country
Re: \$200 Stipend to Expand A8 Result [Re: karlson]
#383480 - 10/24/03 04:45 PM

I'd hate to try and apply a Sklanski theory problem to real life, but ...
Let's say I'm playing in a Party \$50 game (1/2 blinds), its folded to me in the SB (OK you can stop laughing now) and I have a stack of 60. If I don't mind the massive varience going all-in with any hand rated 60 or better would be +EV correct? In fact since my opponent could call me with worse hands and fold better hands, this might even be EV with hands rated less than 60, correct?

Edited by nottom (10/24/03 04:46 PM)

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David Sklansky
enthusiast

Reged: 08/28/02
Posts: 241
The Sklansky-Karlson All In No Limit Holdem Rankings [Re: karlson]
#383481 - 10/24/03 04:46 PM

That's what these results will be called from now on. Assuming they are right of course. A cursory glance looks good. Am I right in assuming that you took into account that lessor hands will be called by two card holdings that are slightly worse? And that you took the two cards of your hand out of the deck? (Considering AKs outranks QQ it seems you did.)

Please let us know your full name Karlson. And where I should send the \$200.

Also would someone be so kind as to reorder these results from highest to lowest. I would also appreciate if someone would double check some of these results by hand.

Believe me, these are far from trivial results. The can be used as major weapons in tournaments.

 Post Extras:
Nottom
Carpal \'Tunnel

Reged: 02/10/03
Posts: 4030
Loc: Hokie Country
Re: The Sklansky-Karlson All In No Limit Holdem Rankings [Re: David Sklansky]
#383495 - 10/24/03 04:54 PM

Would you advocate actually using any of these results in a tourney situation? It seems like there is a lot more variance here than most touney players would like. Unless the player is already using your "system" it seems like this wouldn't be too useful until you are late in the tourney and feel that your opponents are better players than you post-flop. I wonder what these results would look like from other positions at the table ... hmmm ... is this the basis for an improved more detailed "System".

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Boris
old hand

Reged: 09/03/02
Posts: 945
Re: The Sklansky-Karlson All In No Limit Holdem Rankings [Re: David Sklansky]
#383507 - 10/24/03 05:05 PM

Why is AKs ranked higher than QQ while AQs is ranked lower than JJ?

 Post Extras:
tewall
veteran

Reged: 01/02/03
Posts: 1206
Loc: midwest
Hands Sorted [Re: David Sklansky]
#383611 - 10/24/03 07:17 PM

AAo 10000
KKo 1290.32392
AKs 658.056504
QQo 550.087512
AKo 366.480212
JJo 349.934987
AQs 297.477185
TTo 256.815721
AQo 203.93489
99o 202.125049
AJs 193.397544
88o 166.688882
ATs 144.726683
AJo 141.893786
77o 140.163654
66o 119.31682
ATo 109.65166
A9s 107.386334
55o 101.605019
A8s 92.302133
KQs 89.067516
44o 84.187055
A9o 83.718586
A7s 81.074772
KJs 74.338025
A5s 73.895079
A8o 72.472249
A6s 72.267638
A4s 68.020727
33o 67.023645
KTs 64.095478
A7o 63.940106
A3s 63.478775
KQo 59.890903
A2s 59.197471
A5o 57.523826
A6o 57.113411
A4o 52.777483
KJo 51.680575
QJs 50.394333
A3o 49.181824
22o 49.097373
K9s 48.564953
A2o 45.819455
KTo 45.608339
QTs 44.501932
K8s 40.437905
K7s 37.796916
JTs 36.628034
K9o 36.174856
K6s 35.300209
QJo 33.204524
Q9s 32.907071
K5s 32.657479
K8o 30.783568
K4s 30.475611
QTo 30.036653
K7o 28.816285
K3s 28.660021
Q8s 26.981677
K2s 26.980395
K6o 26.919787
J9s 25.981496
K5o 24.895185
Q9o 23.61989
JTo 23.29966
K4o 23.035466
Q7s 22.87665
T9s 22.719979
Q6s 21.963309
K3o 21.565057
J8s 20.810695
Q5s 20.478763
K2o 20.156245
Q8o 19.964644
Q4s 19.055679
J9o 17.927646
Q3s 17.858401
T8s 17.604507
J7s 17.316844
Q7o 17.188395
Q2s 16.752437
Q6o 16.399874
98s 15.411158
Q5o 15.13034
J8o 14.9582
T9o 14.930978
J6s 14.809842
T7s 14.292145
J5s 14.134238
Q4o 13.747946
J4s 13.032748
J7o 12.733956
Q3o 12.582989
97s 12.327652
T8o 12.223835
J3s 12.109628
T6s 11.987398
Q2o 11.3769
J2s 11.204161
87s 11.179617
J6o 10.834186
98o 10.323988
T7o 10.25309
96s 10.150592
J5o 10.037694
T5s 9.998652
T4s 9.307921
86s 9.041014
J4o 8.950459
T6o 8.609867
97o 8.60865
T3s 8.458991
76s 8.361698
95s 8.300009
J3o 7.953932
T2s 7.578143
87o 7.537942
85s 7.271507
96o 7.103121
T5o 6.949192
J2o 6.918703
75s 6.623716
94s 6.611112
T4o 6.274183
65s 6.235193
86o 6.124065
93s 6.084035
84s 5.71556
95o 5.672884
T3o 5.501484
76o 5.460449
92s 5.379643
74s 5.128923
54s 4.870879
T2o 4.848555
85o 4.829605
64s 4.787757
83s 4.478709
94o 4.359892
75o 4.283982
82s 4.142291
73s 4.03075
93o 4.012116
65o 3.986211
53s 3.865458
63s 3.789969
84o 3.749197
92o 3.594775
43s 3.415791
74o 3.376566
54o 3.23233
72s 3.230863
64o 3.180263
52s 3.125558
62s 3.064287
83o 3.002894
42s 2.806653
82o 2.802784
73o 2.739177
53o 2.648645
63o 2.598784
32s 2.577355
43o 2.374371
72o 2.249071
52o 2.188207
62o 2.145689
42o 1.982895
32o 1.83186

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