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< General ~ Hold'em Puzzle |
| Shamrock |
 Posted: Tue Aug 04, 2009 2:39 pm |
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Joined: 15 Feb 2007
Posts: 162
Location: Plano
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Here's the problem: You have to construct holecards for two players, X and Y, and four community cards (i.e. as if the turn had been dealt but not the river) such that:
(1) If the hands were turned over at this point (before the river card is dealt), Player Y would win at showdown.
(2) Player X has the most equity possible given constraint (1). For the purposes of this calculation, equity for Player X can be computed as (river cards that give Player X a win + 0.5 * river cards that chop the pot) / 44. (The 44 is the number of cards remaining in the deck; anyway, it's irrelevant, all you have to do is maximize the numerator.)
As a warm up, suppose we give Player Y 2  2  and Player X Q  J and the board is T 9 9  4 .
In this case, condition (1) is satisfied since Player Y currently has two pairs, nines and twos, while Player X just has a pair of nines with QJT kickers. In this example, Player X has 8 flush outs (the 2 gives Player Y a full house), 6 additional straight outs, 6 natural pair outs, and 5 more outs to double pair the board and counterfeit Player Y's 2s. Thus Player X has a total of 26 outs, so his equity is 25/44 = 56.8%.
The first challenge is to beat this number and then the second challenge is to figure out what the maximal possible equity is for Player A and how to achieve it. |
_________________
"Lord, let me break even today. I really need the money" |
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| Azreal |
| Posted: Wed Aug 05, 2009 2:18 pm |
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Joined: 06 Mar 2007
Posts: 44
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| yeah couldn't find a better way to msg you... you and dori play the jack and jill tourney anymore recently? amy and i planning on heading up and hopefully having some fun at it this weekend. |
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| Shamrock |
| Posted: Fri Aug 07, 2009 5:49 pm |
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Joined: 15 Feb 2007
Posts: 162
Location: Plano
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Azreal,
We haven't playedey in one together recently, but Merlot did go play the last one they had up at Choctaw. Lets just say they had some issues to iron out. For instance they had all of the guys play first, and then the girls. This kind of defeats the purpose. They asked Merlotgirl for ideas on how to run a good J&J tournament and she gave them the info, it's yet to be seen if they took her ideas and implemented them.
Good luck
Shamrock |
_________________
"Lord, let me break even today. I really need the money" |
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| Shamrock |
| Posted: Sun Aug 09, 2009 8:00 am |
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Joined: 15 Feb 2007
Posts: 162
Location: Plano
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Based on the huge response I've decided to end all of this wild discussion on the topic, and post the answer.
If player X has 5 6 and player Y has 7 2 and the board reads 3 4 3 4 we have the optimum result. Player Y is ahead at the moment by virtue of his 2 pair with 7 high kicker. However, Player X has 71.59% equity. There is no card that could come out which would make X lose the hand. Any 8 - A is a split pot. Any 2 or 7 gives X a str8 and the win. Any 5 or 6 gives X the win with a higher 2 pair than Y. Any and X wins with a flush. Any 3 or 4 puts a boat on the board, and splits the pot.
So X has a 43.18% chance of winning the pot and a 28.41% chance of chopping it. Giving X 71.59% equity compared to the 28.41% equity that Y has to chop. |
Last edited by Shamrock on Sun Aug 09, 2009 12:24 pm; edited 1 time in total
_________________
"Lord, let me break even today. I really need the money" |
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| sgx2000 |
| Posted: Sun Aug 09, 2009 12:15 pm |
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Joined: 15 Nov 2007
Posts: 61
Location: dallas, tx
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| that's what i was going to say! |
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