Can a single pair be a favorite against two pairs? - Poker Theory

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Can a single pair be a favorite against two pairs?

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06-18-2016 , 05:06 PM

cuckoo

centurion

Join Date: Oct 2013 Posts: 128

Hello,

can a single pair on an unpaired flop have over 50% equity against two pairs?

The best I could get was 48.33% equity:

6

vs. 7

on a 8

flop.

Is this the maximum equity possible for a single pair vs. 2 pairs, or is a single pair with over 50% equity possible?

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06-18-2016 , 06:54 PM

tjpoker

journeyman

Join Date: Feb 2016 Posts: 280

Am I allowed to have a pocket pair? TTd on 9d8d7d flop has 60%+ eqt vs 97 I believe

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06-18-2016 , 06:57 PM

tjpoker

journeyman

Join Date: Feb 2016 Posts: 280

Slightly adapt your example to have a higher pair than the two pair then youll get a best hand even without a pp

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06-19-2016 , 09:16 AM

masque de Z

Carpal \'Tunnel

Join Date: Aug 2009 Posts: 9,961

Board: 4d 5s 6s
Dead:

equity win tie pots won pots tied
Hand 0: 54.697% 53.33% 01.36% 528 13.50 { 4s3s }
Hand 1: 45.303% 43.94% 01.36% 435 13.50 { 6c5c }

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06-19-2016 , 02:51 PM

ArtyMcFly

Carpal \'Tunnel

Join Date: Dec 2014 Posts: 13,256

Quote:

Originally Posted by cuckoo

can a single pair on an unpaired flop have over 50% equity against two pairs?

The best I could get was 48.33% equity:

6

vs. 7

on a 8

flop.

In your own example, it's the combo with two pairs that has 48.35% equity. 65s (bottom pair + OESFD) is a 51.65% favourite.

An example where one pair is a big favourite would be TP+OESFD vs bottom two pairs.

Board: JhThKs
---- Equity Win Tie
KQhh 64.46% 63.55% 0.91% (One pr + OESFD)
JdTd 35.54% 34.63% 0.91% (Bottom two pairs)

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