Probability of different hand matchups preflop.

B

Bentheman87

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I already know the following favorite-underdog matchups.

Pair vs 2 undercards = 4.9:1

pair vs lower pair = 4.5:1

pair vs 1 overcard 1 undercard = 2.5:1

2 overcards vs 2 undercards = 1.7:1

pair vs 2 overcards = 1.2:1

but can someone please tell me the probability of ....

1. Ace Ten vs KQ, which is one high card and one low card vs two inbetween cards. Another example of this would be Queen 8 vs Jack ten.

2. Ace King vs Ace Jack, where one hand is dominated with a lower kicker.

3. Interweaving cards, like Ace Jack vs King Queen. Or 10 8 vs Queen 9.

I need the exact probabilities down to the right decimal please.
 
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Bentheman87

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Do you know the probabilities though? Not the percentages.
 
ChuckTs

ChuckTs

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You mean converted to odds (x:1)?

Well all you do is divide. They're roughly 1.5:1, 2.3:1 and 1.5:1 respectively.
 
Cheetah

Cheetah

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Here is more decimal places:

1) 59.542%/40.458%
2) 73.284%/26.716%
3) 59.452%/40.548%

Odds(to win) = p/(100-p) , where p is in percent

1) 1.5:1
2) 2.7:1
3) 1.5:1
 
skoldpadda

skoldpadda

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I already know the following favorite-underdog matchups.

Pair vs 2 undercards = 4.9:1


Uh, no. Anywhere from about 3.5:1 up to over 5:1. Depends on the undercards (connected and suited is best). See below.

Poker Odds Calculator (twodimes.net)
pokenum -h qs qd - 8c 7c
Holdem Hi: 1712304 enumerated boards
cards win %win lose %lose tie %tie EV
Qs Qd 1327573 77.53 379204 22.15 5527 0.32 0.777
8c 7c 379204 22.15 1327573 77.53 5527 0.32 0.223

Poker Odds Calculator (twodimes.net)
pokenum -h qs qd - 8c 7h
Holdem Hi: 1712304 enumerated boards
cards win %win lose %lose tie %tie EV
Qs Qd 1391843 81.28 315988 18.45 4473 0.26 0.814
8c 7h 315988 18.45 1391843 81.28 4473 0.26 0.186

Poker Odds Calculator (twodimes.net)
pokenum -h qs qd - 8c 5h
Holdem Hi: 1712304 enumerated boards
cards win %win lose %lose tie %tie EV
Qs Qd 1427794 83.38 279277 16.31 5233 0.31 0.835
8c 5h 279277 16.31 1427794 83.38 5233 0.31 0.165
 
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