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Omaha H/L 8, odds of low

  
 
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andy609
Old 04-20-2006, 05:02 PM     Post subject: Omaha H/L 8, odds of low #1 (permalink)  
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For there to be a qualifying low hand, there must be at least 3 unpaired cards 8 or lower on the board. What are the odds of this happening? I'm not sure how to calculate these odds myself, but it would be useful information with a hand like A, 2, 9, Q.

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SonOfAkira
Old 04-22-2006, 01:59 AM #2 (permalink)  
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Short answer, 44%.
This is the pure mathematical answer, assuming all your outs are clean, i.e. you hold A-2-9-Q;
And your opponents hold all high cards, 10-10-J-J, et cetera.
However this is rarely, if ever, the case. It is the one situation where you can be certain your outs are being held. If they're smart, they're playing for lows as well.
So, in a practical situation, the odds of hitting a low are never as high as 44%.
However, there are stronger low hands. A-2-3-3, or A-2-3-K, or even A-2-3-4. These hands are interesting, because at first glance they seem to follow the same principle as holding trips or 3 and 4 flushes (A-A-A-2, or 5-6-10-J same suit) in that you are holding some of your outs, which is a great liability. In a low situation though, the nut low counterfeit protection offered by holding a 3, or 3 and 4 is such a great advantage that it overshadows the small liability of holding some of your low outs, especially considering there are so many low outs in comparison to making a flush or set.

Omaha odds calculator:
http://www.cardplayer.com/poker_odds...I1LjI1OSI7fQ==
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