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-   -   AA vs KK Heads up (http://archives2.twoplustwo.com/showthread.php?t=407332)

12-29-2005 07:42 PM

AA vs KK Heads up
 
What are the odds of one getting AA and the other one KK in an heads up game?

AaronBrown 12-29-2005 07:49 PM

Re: AA vs KK Heads up
 
There are 6 ways to get AA out of 1,326 possible pocket cards. Given that has happened, there are 6 ways to get KK out of 1,125 pocket cards. There are two ways for it to happen (either one player or the other can get the Aces) so the answer is 2*6*6/1,326*1,125 = 72/1,491,750 or 1/20,719.

12-30-2005 09:33 PM

Re: AA vs KK Heads up
 
Thanks but is that really true or was I not clear enough? If I pick up KK, what is the odds of my opponent in an heads up game having KK? Seems like your answer told me the probability of AA and KK being dealt out in a Heads up game instead of what the odds are that my opponent have KK when I have AA.

BruceZ 12-30-2005 09:39 PM

Re: AA vs KK Heads up
 
[ QUOTE ]
Seems like your answer told me the probability of AA and KK being dealt out in a Heads up game instead of what the odds are that my opponent have KK when I have AA.

[/ QUOTE ]

He answered what you asked (with my correction). The answer to the different question that you are asking now is 6/1225 =~ 203-to-1.

BruceZ 12-30-2005 09:42 PM

Re: AA vs KK Heads up
 
[ QUOTE ]
There are 6 ways to get AA out of 1,326 possible pocket cards. Given that has happened, there are 6 ways to get KK out of 1,125 pocket cards.

[/ QUOTE ]

6 ways to get KK out of C(50,2) = 1225 pocket cards.

[ QUOTE ]
There are two ways for it to happen (either one player or the other can get the Aces) so the answer is 2*6*6/1,326*1125 = 72/1,491,750 or 1/20,719.

[/ QUOTE ]

12/1326 * 6/1225 =~ 1/22,560 or 22,559-to-1.

BOTW 12-31-2005 02:24 AM

Re: AA vs KK Heads up
 
Aaron, I can't think of a time that you didn't show great patience, here is my MS paint version of you:

http://img518.imageshack.us/img518/6189/aaron7ni.jpg

<font color="white"> Edit: Patience + Probability = Profit </font>


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