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#1
12-29-2005, 07:42 PM
 Guest Posts: n/a
AA vs KK Heads up

What are the odds of one getting AA and the other one KK in an heads up game?
#2
12-29-2005, 07:49 PM
 AaronBrown Senior Member Join Date: May 2005 Location: New York Posts: 505
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.
#3
12-30-2005, 09:33 PM
 Guest Posts: n/a
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.
#4
12-30-2005, 09:39 PM
 BruceZ Senior Member Join Date: Sep 2002 Posts: 1,636
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.
#5
12-30-2005, 09:42 PM
 BruceZ Senior Member Join Date: Sep 2002 Posts: 1,636
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.
#6
12-31-2005, 02:24 AM
 BOTW Junior Member Join Date: Sep 2002 Posts: 6
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:

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

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