In Omaha Hi/Lo, how often is a lo hand available on the board?

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In Omaha Hi/Lo, how often is a lo hand available on the board?

Brianman3 asked:
What percentage of the time is there three different cards 8 or lower on the board by the river?
I am asking about the probability of a lo hand being AVAILABLE on the board. I am NOT asking for the probability of actually getting a lo hand.


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Published in Sic Bo Questions @ 11 May 09

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7 Responses to “In Omaha Hi/Lo, how often is a lo hand available on the board?”

1. Answer Says:
   May 13th, 2009 at 5:18 am

   I don’t know the exact percentage, but it happens quite often.

2. Man.With.A.Plan Says:
   May 14th, 2009 at 5:57 am

   should be about 50%

3. Ericuf Says:
   May 15th, 2009 at 5:32 am

   I could figure out the %, but basically what you need is the board to have 3 cards that are 8 or lower. That means,
   A 2 3 4 5 6 7 8

   BUT, if any of them pair, it doesn’t work. Also, you need to have two cards that are 8 or under in your hand that do not pair those cards.

   So, if the board is A 3 5 Q K

   and your hole cards are a 2 Q K
   you do NOT have a low hand

   but, if the board is A 2 3 4
   and you have 3 4 5 6

   you DO (and a damn nice high hand also)

   So basically, between the board and your hand, you need FIVE DIFFERENT low cards.

   Also, the odds of a low hand being possible and the odds of YOU having a low hand are very different. The first is going to be significantly higher than the second.

4. Betty&James Says:
   May 16th, 2009 at 11:47 pm

   Just under 37% of the time.

5. MyYahooAnswersNickname Says:
   May 18th, 2009 at 7:48 am

   In late 1998, Poker Digest magazine had a series of articles (written by Brian Alspach) discussing various probabilities for Omaha Hi/Lo and this question was one of them. For an observer who is not playing in the game, the probability of a low board appearing by the river is 0.601 or approximately 60%.

   The probability changes somewhat if you are playing in the game and have knowledge of four of the cards. For example, if you have four high cards in your hand, then the probability of a low board appearing by the river increases to 0.686.

6. buy databases Says:
   December 1st, 2009 at 11:21 pm

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7. PabloGuantanmera Says:
   March 3rd, 2010 at 8:08 pm

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