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Which hand statistically busts AA most often?

  
 
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mtbottle
Old 04-26-2005, 01:37 PM     Post subject: Which hand statistically busts AA most often? #1 (permalink)  
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Came up at a live game on Sunday, some said 5/6s, some said J9s, I was undecided. Time to clear it up!
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sykotik489
Old 04-26-2005, 01:46 PM #2 (permalink)  

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the calc I have says 56s 23.1%, J9s ~21% 67s 78s and 89s are all better than J9s this is assuming that neither A is the same suit as the suited cards.
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arkana
Old 04-26-2005, 03:31 PM #3 (permalink)  
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The percentages for suited connectors (no gap) who do not share suits or cards used to make a straight with the Aces should be the same i think. 56s actually makes the higher straight (when the Aces make a straight) which I think makes it a (very) slight favourite (although then I suppose 67s should be even better).

I would have to say that 67s would be the best contender although poker stove ranks 56s slightly higher (23.056% vs 23.033%).
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a500lbgorilla
Old 04-26-2005, 04:04 PM #4 (permalink)  
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Well, 56s would obviously do better than J9s. J9 makes fewer straights.

Suited connecters 56-9T all crack aces the same. JT and 45 lose a few staights becuase 2 aces are gone.

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Old 04-26-2005, 04:41 PM #5 (permalink)  
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Martini
Old 04-26-2005, 04:50 PM #6 (permalink)  

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5,6 and and 6,7 suited (with the suit being different from that of either of the aces) tie for being the hand that crack A,A the most often when heads up. However, 5,6 is the better hand to have because it will tie with A,A, slightly more than 6, 7 will.
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SmackinYaUp
Old 04-26-2005, 04:58 PM #7 (permalink)  
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Daniel Negreanu's blog said somewhere that it was 67s i believe
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Cocco_Bill
Old 04-26-2005, 05:03 PM #8 (permalink)  
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Quote:
Originally Posted by a500lbgorilla
Suited connecters 56-9T all crack aces the same.
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Martini
Old 04-26-2005, 05:17 PM #9 (permalink)  

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Quote:
Originally posted by Cocco_Bill
a500lbgorilla wrote:

Suited connecters 56-9T all crack aces the same.
Not true.
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Cocco_Bill
Old 04-26-2005, 05:37 PM #10 (permalink)  
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Quote:
Originally Posted by Martini
Quote:
Originally posted by Cocco_Bill
a500lbgorilla wrote:

Suited connecters 56-9T all crack aces the same.
Not true.
You are correct, its just not immidiately obvious why. 76s and 56s cracjk aces the best and the same. Thats because both win with against pocket aces 2345x board .
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drmcboy
Old 04-26-2005, 05:37 PM #11 (permalink)  
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This was a quiz on the WPT, they said 67s.
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arkana
Old 04-26-2005, 05:44 PM #12 (permalink)  
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Quote:
Originally Posted by Cocco_Bill
Quote:
Originally Posted by Martini
Quote:
Originally posted by Cocco_Bill
a500lbgorilla wrote:

Suited connecters 56-9T all crack aces the same.
Not true.
You are correct, its just not immidiately obvious why. 76s and 56s cracjk aces the best and the same. Thats because both win with against pocket aces 2345x board .
Maybe if you read my post it might have been obvious. Then again sometimes I get the feeling the AutoMuteEuropeanPosters option might be enabled.
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Old 04-26-2005, 05:47 PM #13 (permalink)  
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Martini
Old 04-26-2005, 05:58 PM #14 (permalink)  

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Quote:
Originally posted by Ripptyde
just did the calculation on cardplayer and 6/7s is slightly higher than 8/9s
When trying to nitpick which hands have a slight edge over another, the calculator at cardplayer is not the place to go. It gives samplings from thousands of random hands dealt and gives different results when tried again. Worst of all, it doesn't account for ties. Try the hand simulator at PokerTips.org. It gives you the exact odds and accounts for ties. You will see that 5, 6 suited and 6, 7 suited (with the suit being different from that of either of the aces) crack A, A the same amount of times, but 5, 6 ties slightly more making it the best hand to go up against A, A with.
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Cocco_Bill
Old 04-26-2005, 06:03 PM #15 (permalink)  
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Quote:
Originally Posted by arkana
Quote:
Originally Posted by Cocco_Bill
Quote:
Originally Posted by Martini
Quote:
Originally posted by Cocco_Bill
a500lbgorilla wrote:

Suited connecters 56-9T all crack aces the same.
Not true.
You are correct, its just not immidiately obvious why. 76s and 56s cracjk aces the best and the same. Thats because both win with against pocket aces 2345x board .
Maybe if you read my post it might have been obvious. Then again sometimes I get the feeling the AutoMuteEuropeanPosters option might be enabled.
I am European and I was/am playing 4 tables of poker while reading this. Sorry i missed your post...
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DaNutsInYoEye
Old 04-26-2005, 06:35 PM #16 (permalink)  
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I've always heard 56s faired best against aces.
TheXianti: (Triptanes) why are you not a thinking person?
 
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arkana
Old 04-26-2005, 07:05 PM #17 (permalink)  
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Quote:
Originally Posted by Cocco_Bill
I am European and I was/am playing 4 tables of poker while reading this. Sorry i missed your post...
No worries, I just think most threads would shrink at least 30% if people bothered reading through all the posts before posting.
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rdqlus
Old 04-26-2005, 07:05 PM #18 (permalink)  

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If 56s ties more often than 67s against AA then can someone tell me what the board is where 56s ties AA and 67s loses.

I always thought that 67s was the best hand.

Thanks.

mj
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Martini
Old 04-26-2005, 07:17 PM #19 (permalink)  

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Quote:
Originally posted by rdglus
If 56s ties more often than 67s against AA then can someone tell me what the board is where 56s ties AA and 67s loses.
A, 2, 3, 4 and anything but an A or a 5.
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SmackinYaUp
Old 04-26-2005, 07:29 PM #20 (permalink)  
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Quote:
Originally Posted by Martini
Quote:
Originally posted by rdglus
If 56s ties more often than 67s against AA then can someone tell me what the board is where 56s ties AA and 67s loses.
A, 2, 3, 4 and anything but an A or a 5.

Sorry I dont understand what kind of boards you are trying to describe here.

I guess I need pictures and sing-along songs to understand anything these days...
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Martini
Old 04-26-2005, 07:47 PM #21 (permalink)  

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Martini
Disregard my last post, I misunderstood the question.
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Martini
Old 04-26-2005, 08:13 PM #22 (permalink)  

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Quote:
Originally posted by rdqlus
If 56s ties more often than 67s against AA then can someone tell me what the board is where 56s ties AA and 67s loses.
Its not a tie that 67s will lose with.

5,6 and 6,7 both have the same number of straight possibilities, however, with 5, 6 there are three straights on the board that will tie (8,9,10,J,Q,- 9,10,J,Q,K,- 10,J,Q,K,A) and with 6,7 there are only two straights on the board that will tie (9,10,J,Q,K - 10,J,Q,K,A)
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jobupoker
Old 04-26-2005, 08:22 PM #23 (permalink)  
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aren't you forgetting the boards where both a 5,6 or 6,7 come up?

ex:

5,6,7,8,9
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arkana
Old 04-26-2005, 08:26 PM #24 (permalink)  
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What have you been smoking Martini?

We are talking about 56 vs AA in comparison to 67 vs AA, not 56 vs 67.
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zenbitz
Old 04-26-2005, 08:27 PM #25 (permalink)  
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This is actually surprising difficult...

I don't think there are any boards that 56s ties AA that 67s doesn't tie...

So, it must be that 56s and 67s BOTH tie, but with 56 it occurs more often.

Since the both have a 6, it must be boards with a 7 in them that tie (not 5)

6789T/789TJ/89TJQ

No, this should be compensated by boards that use the 5...
23456/34567/45678/56789 - but three of those also use a 7, so they don't count.

23456 doesn't count either, since the 7 gives the sucker outer a win, not a tie. I

Note that the 56 edge is only 1 in 2,000.
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Martini
Old 04-26-2005, 08:33 PM #26 (permalink)  

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Martini
Quote:
Originally posted by arkana
What have you been smoking Martini?

We are talking about 56 vs AA in comparison to 67 vs AA, not 56 vs 67.
Right. There is one more straight possibility (actually more than one, because I'm not accounting for different suits) with 56 vs AA that will tie, than there is with 6,7 vs AA.
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arkana
Old 04-26-2005, 08:43 PM #27 (permalink)  
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Quote:
Originally Posted by Martini
Quote:
Originally posted by arkana
What have you been smoking Martini?

We are talking about 56 vs AA in comparison to 67 vs AA, not 56 vs 67.
Right. There is one more straight possibility (actually more than one, because I'm not accounting for different suits) with 56 vs AA that will tie, than there is with 6,7 vs AA.
Maybe I have been smoking something because I still don't get it, what is that possibility? Give me an example please.
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Greedo017
Old 04-26-2005, 08:51 PM #28 (permalink)  
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ok, i wrote this post before i saw martini's below and, in short, he put exactly what i had. The only mistake you made, is each one has one less tying hand, because 910JQK is not a tying hand, it loses.
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Martini
Old 04-26-2005, 08:51 PM #29 (permalink)  

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Martini
Quote:
Originally posted by jobupoker
aren't you forgetting the boards where both a 5,6 or 6,7 come up?

ex:

5,6,7,8,9
Yeah, I am.

With 5,6 there are 7 straights on the board that wil tie A,A:

2,3,4,5,6
3,4,5,6,7
4,5,6,7,8
5,6,7,8,9
6,7,8,9,10
7,8,9,10,J
8,9,10,J,Q


and with 6,7, there are only 6:

3,4,5,6,7
4,5,6,7,8
5,6,7,8,9
6,7,8,9,10
7,8,9,10,J
8,9,10,J,Q
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Martini
Old 04-26-2005, 08:53 PM #30 (permalink)  

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Does the above post explain it arkana?
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arkana
Old 04-26-2005, 09:12 PM #31 (permalink)  
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Erm, the original question was:

Quote:
If 56s ties more often than 67s against AA then can someone tell me what the board is where 56s ties AA and 67s loses.
So yes I understand 56 ties more often but when it does 67 does not lose.
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Martini
Old 04-26-2005, 09:16 PM #32 (permalink)  

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That was not the original question arkana.
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arkana
Old 04-26-2005, 09:22 PM #33 (permalink)  
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Ok you got me on a technicality Martini...
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Martini
Old 04-26-2005, 09:22 PM #34 (permalink)  

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Quote:
Originally posted by Greedo017
here's a twist on it, anyone know what hand loses the most to aces? give you a hint, it wins less than 10% of the time.
A,6 and A,9 (where the 6 or 9 are one of the same suits as one of the Aces) both lose to Aces an equal amount of the time but A,6 is a worse hand because it ties less.
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Martini
Old 04-26-2005, 09:25 PM #35 (permalink)  

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I don't know what you're getting at arkana. I never said anything about 6,7, not losing.
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Martini
Old 04-26-2005, 09:33 PM #36 (permalink)  

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Here's one for ya Greedo

What's the most lopsided hole cards two players can go heads-up against each other with? Player A has what cards and Player B has what cards?
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arkana
Old 04-26-2005, 09:47 PM #37 (permalink)  
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Quote:
Originally posted by rdqlus
If 56s ties more often than 67s against AA then can someone tell me what the board is where 56s ties AA and 67s loses.
rdqlus asked for an example where 56s would tie with AA but 67s would lose, which would explain why 56s has a higher win % than 67s against AA.

So you have shown that 56 ties more often, but have you shown why 56 would have a higher win % against AA than 67?

If the board is 2,3,4,5,6 then 56 ties but 67 wins so that only confirms to me that 67 is the favourite.
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Martini
Old 04-26-2005, 09:56 PM #38 (permalink)  

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5,6 wins exactly as much as 6,7 does, but since it ties more often, it is the better hand to have.
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Martini
Old 04-26-2005, 10:02 PM #39 (permalink)  

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Martini
Quote:
originally posted by arkana
If the board is 2,3,4,5,6 then 56 ties but 67 wins so that only confirms to me that 67 is the favourite.
What about when the board is x, x, 2, 3, 4, where either x is not a 6? Do you see how 5,6 hits as many straights as 6,7 does?
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arkana
Old 04-26-2005, 10:20 PM #40 (permalink)  
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Yes I see how 56 hits as many straights as 76 does but the one extra tie you are talking about is a board where 76 would win not tie so how does that improve 56's win percentage?
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Martini
Old 04-26-2005, 10:23 PM #41 (permalink)  

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Which extra tie?
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arkana
Old 04-26-2005, 10:25 PM #42 (permalink)  
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2,3,4,5,6

The 7 would give 67 a higher straight.
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ChezJ
Old 04-26-2005, 10:33 PM #43 (permalink)  
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i cracked AA with T9s last week playing $3/$6 at ft. mcdowell... it was f'ing beautiful.
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Martini
Old 04-26-2005, 10:43 PM #44 (permalink)  

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Quote:
Originally posted by arkana
2,3,4,5,6

The 7 would give 67 a higher straight.
I didn't put 2,3,4,5,6 on the list that 6,7 would tie with.
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arkana
Old 04-26-2005, 10:47 PM #45 (permalink)  
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I think we are misunderstanding each other...

Do you agree with me that 67s would have a higher win % (or at least equal) than 56s?
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Martini
Old 04-26-2005, 10:50 PM #46 (permalink)  

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Read my first post in this thread again.
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arkana
Old 04-26-2005, 10:58 PM #47 (permalink)  
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Quote:
5,6 and and 6,7 suited (with the suit being different from that of either of the aces) tie for being the hand that crack A,A the most often when heads up. However, 5,6 is the better hand to have because it will tie with A,A, slightly more than 6, 7 will.
Explain the last sentence. Your post where you give the boards that 56 ties with AA has one more tie namely 23456 than listed for 67s' ties with AA. But with that board 76 doesnt tie it wins.
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Martini
Old 04-26-2005, 11:03 PM #48 (permalink)  

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I see what you're saying. Let me edit that list and then look at it again.
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Old 04-26-2005, 11:05 PM #49 (permalink)  

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Okay.
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arkana
Old 04-26-2005, 11:18 PM #50 (permalink)  
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Quote:
With 5,6 there are 3 boards that wil tie A,A:
6,7,8,9,10
67 will tie here as well.
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