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Old 03-31-2012, 04:33 PM   #1
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EXACT odds of aces vs kings preflop

Hello,

I need to know the EXACT odds of ace hearts & ace diamonds vs king clubs & king spades preflop winning, not winning+drawing in the same %.

Not the odds of being dealt these cards, or anything else.

simply if I have 2 red aces, and my opponent has 2 black kings preflop, we're all in now whats the % that the kings can win excluding draw. So just the % that the 2 kings can win.

Please do not quote any online odds calculations such as the ones on cardplayer or pokerlistings because they are not EXACT they are approximations.

Sorry to be so extreme in the way I ask but people always seem to post a load of rubbish to these questions. I have no doubt there will be some people who post answers to a question that hasn't been asked but my method of asking is sure to cut them down.

Thanks a lot, really appreciated.

Also if you know anywhere that has exact calculations can you please tell me where it is? Thanks again

Last edited by aza101; 03-31-2012 at 04:40 PM.
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Old 03-31-2012, 04:42 PM   #2
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Re: EXACT odds of aces vs kings preflop

317694 / 1712304 or about 18.55%

pokerstove.com
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Old 03-31-2012, 06:10 PM   #3
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Re: EXACT odds of aces vs kings preflop

*about* lol.... you just can't escape these people....
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Old 03-31-2012, 06:25 PM   #4
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Re: EXACT odds of aces vs kings preflop

Quote:
Originally Posted by aza101 View Post
*about* lol.... you just can't escape these people....
Did you notice he gave you the exact probability as well? 1712304 is the number of possible different hold'em boards (with 4 known cards) and 317694 is the amount of boards KcKs wins on. It doesn't get any more exact than that.
In reduced form it's 52949 / 285384.
ProPokerTools.com confirms:
Quote:
Hold'em Simulation
1,712,304 trials (Exhaustive)
Hand Equity Wins Ties
AhAd 81.26% 1,388,072 6,538
KcKs 18.74% 317,694 6,538

Last edited by Vanhaomena; 03-31-2012 at 06:40 PM.
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Old 03-31-2012, 06:47 PM   #5
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Re: EXACT odds of aces vs kings preflop

Did you notice that I asked twice for the exact % and nothing else?
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Old 03-31-2012, 06:59 PM   #6
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Re: EXACT odds of aces vs kings preflop

Anyway, thanks yaq, can anyone else confirm his results?

The problem is, pokerstove the site yaq recommended is not 18.55% so whats going on?
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Old 03-31-2012, 07:41 PM   #7
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Re: EXACT odds of aces vs kings preflop

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Old 03-31-2012, 07:41 PM   #8
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Re: EXACT odds of aces vs kings preflop

Can someone tell the probability of rolling a 1 or a 2 with a six-sided die? I went to a website that told me the answer was 0.333333 but I don't know what kind of idiot would be satisfied with an approximate answer like that. Also, please don't tell me 1/3 - IF I WANTED A FRACTION, I WOULD HAVE ASKED FOR A FRACTION!!!

Remember: I want an exact answer. If that involves an infinite number of digits, well, better quit your whining and start typing!
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Old 03-31-2012, 07:53 PM   #9
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Re: EXACT odds of aces vs kings preflop

the .333 will recur forever, I want to know where the aa vs kk stops.

Last edited by aza101; 03-31-2012 at 07:59 PM.
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Old 03-31-2012, 08:08 PM   #10
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Re: EXACT odds of aces vs kings preflop

Quote:
Originally Posted by aza101 View Post
the .333 will recur forever, I want to know where the aa vs kk stops.
According to Wolfram Alpha the decimal representation would be



The part with the bar on top recurring infinitely. It will never stop.
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Old 03-31-2012, 08:24 PM   #11
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Re: EXACT odds of aces vs kings preflop

Quote:
Originally Posted by egj View Post
Can someone tell the probability of rolling a 1 or a 2 with a six-sided die? I went to a website that told me the answer was 0.333333 but I don't know what kind of idiot would be satisfied with an approximate answer like that. Also, please don't tell me 1/3 - IF I WANTED A FRACTION, I WOULD HAVE ASKED FOR A FRACTION!!!

Remember: I want an exact answer. If that involves an infinite number of digits, well, better quit your whining and start typing!

0.333...


There, an exact decimal representation.
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Old 03-31-2012, 08:26 PM   #12
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Re: EXACT odds of aces vs kings preflop

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Old 03-31-2012, 08:50 PM   #13
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Re: EXACT odds of aces vs kings preflop

well, i'm glad to see we've gotten to the bottom of this one.
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Old 03-31-2012, 09:25 PM   #14
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Re: EXACT odds of aces vs kings preflop

Quote:
Originally Posted by aza101 View Post
*about* lol.... you just can't escape these people....
iorite?
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Old 03-31-2012, 10:11 PM   #15
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Re: EXACT odds of aces vs kings preflop

Quote:
Originally Posted by yaqh View Post
well, i'm glad to see we've gotten to the bottom of this one.
Let's just hope base 10 will be satisfactory, lest this topic hits 9 pages by morning.
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