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View Full Version : how valuable is one overcard?


blaze666
05-08-2005, 04:21 AM
say i have AJo Vs KQo what are the winning percentages?

imported_leader
05-08-2005, 06:07 AM
[ QUOTE ]
say i have AJo Vs KQo what are the winning percentages?

[/ QUOTE ]

If I recall, It's really close. I want to say 52-48, but I'm not sure.

blaze666
05-08-2005, 06:11 AM
You are probabaly thinking of 2 unsuited overcards against a pair.

pzhon
05-08-2005, 10:13 AM
[ QUOTE ]
say i have AJo Vs KQo what are the winning percentages?

[/ QUOTE ]
AJo has an equity of about .5976, according to PokerStove. The exact advantage depends on the relations between the suits. Here are some particular examples of AJo vs. KQo from Two Dimes:

http://twodimes.net/h/?z=54250
A/images/graemlins/spade.gif J/images/graemlins/club.gif 0.597
K/images/graemlins/heart.gif Q/images/graemlins/diamond.gif 0.403

http://twodimes.net/h/?z=261692
A/images/graemlins/spade.gif J/images/graemlins/club.gif 0.601
K/images/graemlins/spade.gif Q/images/graemlins/diamond.gif 0.399

http://twodimes.net/h/?z=662599
A/images/graemlins/spade.gif J/images/graemlins/club.gif 0.594
K/images/graemlins/club.gif Q/images/graemlins/diamond.gif 0.406

http://twodimes.net/h/?z=886825
A/images/graemlins/spade.gif J/images/graemlins/club.gif 0.598
K/images/graemlins/spade.gif Q/images/graemlins/club.gif 0.402

In many other cases, the advantage of the hand with the overcard is lower. These are extreme examples:

http://twodimes.net/h/?z=476051
A/images/graemlins/spade.gif 2/images/graemlins/club.gif 0.504
7/images/graemlins/heart.gif 6/images/graemlins/heart.gif 0.496

http://twodimes.net/h/?z=85138
5/images/graemlins/spade.gif 2/images/graemlins/club.gif 0.462
4/images/graemlins/heart.gif 3/images/graemlins/heart.gif 0.538

(I didn't realize it was possible for the lower hand to be the favorite. It is rare.)

The advantage can be slightly higher than AJo vs. KQo:

http://twodimes.net/h/?z=943638
A/images/graemlins/spade.gif 2/images/graemlins/club.gif 0.617
K/images/graemlins/spade.gif 3/images/graemlins/heart.gif 0.383