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Author Topic: 6 card plo : whats the maths  (Read 3091 times)
77dave
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« on: March 16, 2013, 04:49:33 AM »

interesting hand came up on the flop of a DC game from 6 card plo

the 2 hands are

hand 1:

hands 2: 

They see a flop of :   

What equity does each player have on the flop and how do we work it out
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Mantis - I would like to thank 77dave for his more realistic take on things.
Rupert
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« Reply #1 on: March 16, 2013, 05:26:26 AM »

so there's 37 possible turns and 36 possible rivers 37*36=1332 different outcomes, see who wins on each possible outcome and total it then divide by 1332.
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Honeybadger
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« Reply #2 on: March 16, 2013, 06:50:03 AM »

You can do a simulation at propokertools. It only does 5 card PLO so I just made the Qs and Kh dead cards instead. It won't change the results too much. The wrap plus FD has almost 65% equity.

5-Card Omaha Hi Simulation ?
666 trials (Exhaustive)
board: Ts 7s 5d
dead cards: Qs Kh
Hand   Equity   Wins   Ties
3s 4s 6d 8c 9s   64.86%   432   0
Ac Ad Th 7h 5c   35.14%   234   0

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Rupert
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« Reply #3 on: March 16, 2013, 07:06:50 AM »

oh yeah I guess it's only 666 outcomes because the order doesn't matter
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SuuPRlim
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« Reply #4 on: March 16, 2013, 08:56:58 AM »

without even looking at the maths its IMPOSSIBLE for the wrap and FD to have less than 60%, would be higher still if they wrap had some SF outs cos as it stand they have zero kill outs so board pairing turn has it with 0%.

This should never be a flop all in though because hand 2) should never be in the pot pre-flop in a month of sundays and unless he has like 2/3 of a pot bet back this looks like a pretty easy flop c/f for hand 1)
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SuuPRlim
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« Reply #5 on: March 16, 2013, 09:49:03 AM »

obv got the last two mixed up, hand 1) should never be in the pot p/f and hand 2) should c/f the flop.

it is early Tongue
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Honeybadger
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« Reply #6 on: March 16, 2013, 08:03:36 PM »

Yeah completely agree with Lil'Dave: Hand 1 is a terrible hand and I would not put a penny into the pot with it preflop. Even on a miracle flop like this one it can still sometimes be in all sorts of trouble if a big pot gets played since even such a 'huge draw' is so easily dominated by the NFD and the upper wrap (J98). This is the reason you don't play these sort of complete junk hands at 6 card PLO - because even flopping a miracle is not guaranteed to be a good thing!
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77dave
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« Reply #7 on: March 16, 2013, 11:36:53 PM »

Not going to argue about the way the hands have been played, but thats why we make money playing mixed games as people just cant fold as they have 6 cards.

ok so if we know now that their are 666 possible combos for turn and river for the wrap f/d to be a 66% fav it must need circa 444 good combos. Apart from counting them 1 by 1 or running the numbers on a simulator which their isnt for 6 card games how do we know its 66%
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Mantis - I would like to thank 77dave for his more realistic take on things.
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