Omaha hand frequency

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Joined: 02.09.2010

02.05.2019, 07:34 0

There are 864 combinations of Double-suited Aces
There are 270725 4-card combinations in a 52-card deck.

       Equity    Wins    Ties
MP2    68.75%  68.45%   0.31% { AA**/ds }   864
MP3    31.25%  30.94%   0.31% { random } 270725

So, one could expect to get one of those combinations at least once in 313 hands (270725/864)

Can anyone confirm that the above makes sense?

I also tried looking at the fact that there are only 78 distinct double-suited AA hands, and only 16432 distinct hands overall, but I think that it is necessary to regard the number of combinations.

Thanks
VS

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VorpalF2F

Super Moderator

Joined: 02.09.2010

Posts: 45,056

03.05.2019, 19:15 0

For what it's worth -- it took me 1100 hands to get double suited aces.
I don't have enough PLO hands in poker tracker to be able to tell if this is typical

Oh wait, if I use my PLO8 database, it's the same frequency :facepalm:
136 double-suited aces out of 42,376 hands, which is one in 312 -- so it appears that the calculated frequency is correct...

Cheers,
VS

Bizarre hand? Post it in Hand of the Day!!
Mind Games: My blog
As in life, so in a game of hazard, skill will make something of the worst of throws from Moonfleet by JM Falkner

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Kyyberi

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Joined: 09.07.2010

Posts: 11,655

03.05.2019, 20:30 0

Yes, your numbers are correct.

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