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  #1  
Old 07-26-2004, 04:31 PM
SLEEPER SLEEPER is offline
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Join Date: Jan 2004
Posts: 56
Default Pocket pair vs. one overcard

What is the probabilty that AQ offsuit beats KK? Thanks for the help.
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  #2  
Old 07-26-2004, 04:45 PM
aloiz aloiz is offline
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Default Re: Pocket pair vs. one overcard

Use http://www.twodimes.net to evaluate specific hands like these.

aloiz
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  #3  
Old 07-27-2004, 05:13 PM
SossMan SossMan is offline
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Join Date: Apr 2003
Location: Bay Area, CA
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Default Re: Pocket pair vs. one overcard

Copied this from a cool website.
Hold'em Odds
This page lists the common hold'em odds, followed by a series of useful pre-flop match-ups. Please let me know if I have made any typos or rounding errors or if there is anything you would like to see added to these lists.

Starting Hands
The probability of being dealt:

Pocket aces 220/1 (0.45%)
Any pocket pair 16/1 (5.9%)

AK suited 331/1 (0.3%)
AK offsuit 110/1 (0.9%)
AK suited or offsuit 82/1 (1.2%)

Any two suited cards 3.3/1 (24%)
Max stretch suited connectors, e.g. JT suited 46/1 (2.1%)
Max stretch connectors, e.g. JT suited or offsuit 11/1 (8.5%)

Either pocket aces or pocket kings 110/1 (0.9%)
Either pocket aces, pocket kings or AK 46/1 (2.1%)
Either pocket aces, pocket kings, pocket queens, AK, AQ or KQ 19/1 (5%)
Any pocket pair or two cards ten or higher 4.5/1 (18%)
Any pocket pair of sevens or higher or two cards ten or higher 5.4/1 (16%)

N.B. If you take a pocket pair to the river, you have a 4.2/1 (19%) chance of making a set or better.
If you take two suited cards to the river, you have a 15/1 (6.4%) chance of making a flush in your suit by then. Your chance of making a flush in your suit by the river with two unsuited cards is 53/1 (1.8%).

The Flop
The probability of improving to:

A set or better from a pocket pair 7.5/1 (11.8%), which is broken down as follows:
A set 8.3/1 (10.8%)
A full house 136/1 (0.74%)
Quads 407/1 (0.25%)

A flush from two suited cards 118/1 (0.84%)
A four-flush from two suited cards 8.1/1 (10.9%)
A three-flush from two suited cards 1.4/1 (41.6%)
A four-flush from one suited card 88/1 (1.1%)
A three-flush from one suited card 6.8/1 (12.8%)

A straight from two max stretch connectors 76/1 (1.3%)
An eight outs (open-ended or double belly buster) straight draw from two max stretch connectors 8.6/1 (10.5%)
A gutshot straight draw from two max stretch connectors 3.6/1 (22%)

At least a pair (using your pocket cards) from two non-pair cards 2.1/1 (32.4%)
A pair (using one of your pocket cards) from two non-pair cards 2.5/1 (29%)
Two pair (using both of your pocket cards) from two non-pair cards 49/1 (2%)
Any two pair from two non-pair cards 24/1 (4%)
Trips (using one of your pocket cards) from two non-pair cards 73/1 (1.35%)
A full house (using both of your pocket cards) from two non-pair cards 1087/1 (0.09%)
Quads (using one of your pocket cards) from two non-pair cards 9799/1 (0.01%)

What will appear on the Three Flop Cards
Three of a kind 424/1 (0.24%)
A pair 5/1 (17%)
Three suited cards 18/1 (5.2%)
Two suited cards 0.8/1 (55%)
No suited cards (rainbow) 1.5/1 (40%)
Three cards in sequence 28/1 (3.5%)
Two cards in sequence 1.5/1 (40%)
No cards in sequence 0.8/1 (56%)

From Flop to Turn
The probability of improving to:

A full house or better from a set on the next card (7 outs) 5.7/1 (15%)
A full house from two pair on the next card (4 outs) 11/1 (9%)
A set from one pair on the next card (2 outs) 23/1 (4.3%)
A flush from a four-flush on the next card (9 outs) 4.2/1 (19%)
A straight from an open-ended straight draw on the next card (8 outs) 4.9/1 (17%)
A straight from a gutshot straight draw on the next card (4 outs) 11/1 (9%)
A pair from two non-pair cards (overcards) on the next card (6 outs) 6.8/1 (13%)
A second pair with your kicker on the next card, when you hold the same pair as your opponent but are 'outkicked' (3 outs) 15/1 (6%)

From Flop to River
The probability of improving to:

A full house or better from a set by the river 2/1 (33%)
A full house or better from two pair by the river (4 outs) 5.1/1 (17%)
A set or better from one pair by the river (2 outs) 11/1 (8.4%)
A flush from a four-flush by the river (9 outs) 1.9/1 (35%)
A flush from a three-flush by the river 23/1 (4.2%)
A straight from an open-ended straight draw by the river (8 outs) 2.2/1 (32%)
A straight from a gutshot straight draw by the river (4 outs) 5.1/1 (17%)
A pair or better from two non-pair cards (overcards) by the river (6 outs) 3.2/1 (24%)
A second pair with your kicker by the river, when you hold the same pair as your opponent but are 'outkicked' (3 outs) 7/1 (13%)

From Turn to River
The probability of improving to:

A full house or better from a set on the final card (10 outs) 3.6/1 (22%)
A full house from two pair on the final card (4 outs) 11/1 (9%)
A set from one pair on the final card (2 outs) 22/1 (4.4%)
A flush from a four-flush on the final card (9 outs) 4.1/1 (20%)
A straight from an open-ended straight draw on the final card (8 outs) 4.8/1 (17%)
A straight from a gutshot straight draw on the final card (4 outs) 11/1 (9%)
A pair from two non-pair cards (overcards) on the final card (6 outs) 6.7/1 (13%)
A second pair with your kicker on the final card, when you hold the same pair as your opponent but are 'outkicked' (3 outs) 14/1 (7%)

Before the Flop Match-Ups (Expected Value)
Pair vs. Pair

AdAh vs. KcKs 81.3%-18.7%
AdAh vs 6c6s 79.8%-20.2%

Pocket Rockets vs. Big Slick

AdAh vs. AcKs 92.6%-7.4%
AdAh vs. AcKc 87.9%-12.1%

Pocket Rockets vs. Connectors

AdAh vs. JcTs 82.0%-18.0%
AdAh vs. JcTc 78.3%-21.7%
AdAh vs. 6c5s 80.6%-19.4%
AdAh vs. 6c5c 76.9%-23.1%

Pair vs. Two Overcards

TdTh vs. AcKs 57.3%-42.7%
TdTh vs. AcKc 53.9%-46.1%
6d6h vs. AcKs 55.4%-44.6%
6d6h vs. AcKc 52.1%-47.9%
JdTd vs. 2c2s 54.0%-46.0%
JdTh vs. 2c2s 51.2%-48.8%

Pair vs. One Overcard (dominated hand)

KdKh vs. AcKs 70.0%-30.0%
KdKh vs. AcKc 65.9%-34.1%
6d6h vs. 7c6s 64.2%-35.8%
6d6h vs. 7c6c 60.5%-39.5%

Pair vs. One Overcard

KdKh vs. AcQs 71.6%-28.4%
KdKh vs. AcQc 67.9%-32.1%
TdTh vs. Ac2s 71.1%-28.9%
TdTh vs. Ac2c 67.4%-32.6%
6d6h vs. Ac2s 69.9%-30.1%
6d6h vs. Ac2c 66.2%-33.8%

Dominated Hands

AdKh vs. AcQs 74.0%-26.0%
AdKh vs. AcQc 69.7%-30.3%
AdKh vs. Ac6s 73.5%-26.5%
AdKh vs. Ac6c 69.2%-30.8%
AdKh vs. KcQs 74.2%-25.8%
AdKh vs. KcQc 69.9%-30.1%
AdKh vs. Kc7s 75.0%-25.0%
AdKh vs. Kc7c 70.7%-29.3%

Two Overcards vs. Non-Pair

AdKh vs. 7c6s 61.5%-38.5%
AdKh vs. 7c6c 57.7%-42.3%

One Overcard vs. Non-pair

Ad2h vs. 7c6s 53.9%-46.1%
Ad2h vs. 7c6c 50.4%-49.6%

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  #4  
Old 08-02-2004, 01:27 AM
PharmBuck PharmBuck is offline
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Join Date: Jul 2004
Posts: 4
Default Re: Pocket pair vs. one overcard

wow that's a great resource, soss. could you link the site you pulled that from? Thanks.
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