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  1. #1
    Stu Ungar OrionPro's Avatar
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    Default Odds AK vs QQ - which numbers are correct?

    On wikipedia they say that overcard probability if you hold QQ is 1.5:1, which means QQ would be the underdog.

    This is very different from the 1.2:1 favorite of a pair versus 2 overcards.

    Which is correct now?

    article link-
    http://en.wikipedia.org/wiki/Poker_p..._hold_%27em%29
    Last edited by OrionPro; 05-08-2006 at 06:52 AM.

  2. #2
    Mike McDermott
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    http://www.pokerstove.com/

    equity (%) win (%) tie (%)
    Hand 1: 56.0561 % 55.84% 00.21% { QQ }
    Hand 2: 43.9439 % 43.73% 00.21% { AKs, AKo }
    BOSS

  3. #3
    Check Raiser ypsieast's Avatar
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    There's a lot of info in that link. What exactly did it say?
    "There is a good chance I gave you a very bad description of something that doesn't work."

  4. #4
    PokerForums God Marm's Avatar
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    Quote Originally Posted by DaFish
    On wikipedia they say that overcard probability if you hold QQ is 1.5:1, which means QQ would be the underdog.

    This is very different from the 1.2:1 favorite of a pair versus 2 overcards.

    Which is correct now?

    article link-
    http://en.wikipedia.org/wiki/Poker_p..._hold_%27em%29
    Over card probability means, I think, the chances of hitting an overcard on the flop.
    Marm is back, maybe. Been off for 3 years. Rusty as Hell.

    Luck is a Residue of Design.

  5. #5
    Stu Ungar OrionPro's Avatar
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    No, I mean the bottom of the section called THE FLOP:

    "Notice that there is a better than 35% probability that an ace will come by the river if holding pocket kings, and with pocket queens, the odds are slightly in favor of an ace or a king coming by the turn, and a full 60% in favor of an overcard to the queen by the river."


    Maybe the mistake I'm making here is that I assume someone has AK, which would mean one has to subtract those two cards & then the computation would yield lower than 60%.

  6. #6
    Check Raiser ypsieast's Avatar
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    Well, there is also a chance that a third Q will hit the board by the river, which would mitigate an overcard. This will happen about 20% of the time.
    "There is a good chance I gave you a very bad description of something that doesn't work."

  7. #7
    Stu Ungar OrionPro's Avatar
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    Are you sure it's 20%?

    I recall HoH and other sources said 1/7 or less?

  8. #8
    Check Raiser ypsieast's Avatar
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    Quote Originally Posted by DaFish
    Are you sure it's 20%?

    I recall HoH and other sources said 1/7 or less?
    1/7 to hit your set on the flop. 1/5 to hit the set by the river.
    prob. of Q = 1-(prob of no Q)
    p = 1- [(48/50)*(47/49)*(46/48)*(45/47)*(44/46)] = 20%
    "There is a good chance I gave you a very bad description of something that doesn't work."

  9. #9
    Stu Ungar OrionPro's Avatar
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    Thanks ypsieast! THat clarifies it...

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