PDA

View Full Version : KQo Dominated?

Stork
11-07-2004, 03:06 PM
Can someone please tell me the odds, or show me how to get them, when holding KQo, of being up against AK, AQ, AA, KK, or QQ in a 10-handed game? What about for 6 max?
Thanks.

zaxx19
11-07-2004, 10:21 PM
After a raise pretty damn high thats all that yu really need to know.........and for a called raise somewhere in between.........KQ off so darn overatted imho for the same reason kx suited is weak...

Stork
11-07-2004, 11:20 PM
I'm not talking about being up against a raise, or using information from the way the hand is played out, I just mean statistically.

uuDevil
11-08-2004, 12:43 AM
Finding exact answers can get kind of messy. Here is a long thread on a similar question, with input from pzhon, BruceZ, and David Sklansky, amoung others:

Odds of KK running into AA at a full table? (http://forumserver.twoplustwo.com/showthreaded.php?Cat=&amp;Number=842374&amp;page=&amp;view=&amp;sb =5&amp;o=&amp;vc=1)

Precision1C
11-08-2004, 03:08 AM
There are 1326 combinations of Texas hold'em hole cards, 50!/(48!*2!)= C(50,2).

AK= 4*3 combinations
AQ= 4*3
AA= 6
KK= 3
QQ= 3

for a total of 36 combinations. So the odds someone dominating your hand is 36/1326= 2.71%

At a 10 person table the odds that no one has a dominating hand is (1-.0271)^9= 78.1% At a 6 person table (1-.0271)^5= 87.1%.

Hope this helps.

pzhon
11-08-2004, 03:14 AM
When you have KQ, there are 6 ways to have AA, 3 ways to have KK and QQ, and 12 ways to have AK and AQ, for a total of 36 hands out of (50 choose 2)=1225. The probability that any particular opponent has one of these hands is 36/1225, so the average number of dominating hands you face is 9*36/1225 = .2645 at a full table and 5*36/1225 = .1469 at a 6-handed table. These are overestimates for the probability you are dominated because they overcount the times you face multiple opponents with dominating hands. It is quite messy to determine the exact answer.

Precision1C
11-08-2004, 11:10 AM
Oops, pzhon has the answer. C(50,2) is 1225 not 1326.

pzhon
11-08-2004, 12:46 PM
[ QUOTE ]