Hold\'em Poker Puzzle (hand with most outs)
 

Here's a puzzle (you might only find interetsing if you're bored). I haven't though too much about it, and this might be completely trivial, but work is not so interesting right now...

Which pocket cards and set of community cards to 4th street (i.e. only the river to come) give you the most outs to the absolute nuts? The only condition, to make this non-trivial, is that on 4th street you can't have a hand better than three-of-a-kind.

For example, if you have A[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/heart.gif[/img] in the pocket with A[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/heart.gif[/img] 9[img]/images/graemlins/spade.gif[/img] K[img]/images/graemlins/diamond.gif[/img] on the board, the remaining fives in the deck are not strictly outs to the absolute nuts since villain may be holding pocket fives, and will make a four-of-a-kind. But the Queens are outs since they cant make anyone a better hand.

Re: Hold\'em Poker Puzzle (hand with most outs)
 

I gotta vote for OESFD.

Re: Hold\'em Poker Puzzle (hand with most outs)
 

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For example, if you have A A in the pocket with A 5 9 K on the board, the remaining fives in the deck are not strictly outs to the absolute nuts since villain may be holding pocket fives, and will make a four-of-a-kind. But the Queens are outs since they cant make anyone a better hand.



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really? so does JT beat AA on that board?

Re: Hold\'em Poker Puzzle (hand with most outs)
 

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really? so does JT beat AA on that board?

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Woops! Apologies. I just grabbed Q out of thin air without really thinking (obviously). Actually, with that board I don't see any outs to the absolute nuts except the other A.

Re: Hold\'em Poker Puzzle (hand with most outs)
 

Actually...wouldn't ANY open ended, nut straight draw on a rainbow board at the turn have the most entirely clean, "can't lose" outs, with 8? Nut flush draws only have 7 if I'm correct.

Re: Hold\'em Poker Puzzle (hand with most outs)
 

Does "absolute nuts" mean no ties possible?

Paul

Re: Hold\'em Poker Puzzle (hand with most outs)
 

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Does "absolute nuts" mean no ties possible?

Paul

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Actually, it doesn't matter. 20 is my answer.

You: Kc Kd
Board: Ks Qd 7c 2h

Outs: any 3,4,5,6,8

Paul

Re: Hold\'em Poker Puzzle (hand with most outs)
 

Woops. Didn't notice the "street you can't have a hand BETTER than three-of-a-kind." Question is still oddly worded. Assuming I'm not missing anything, I can't see any more than 20.

Re: Hold\'em Poker Puzzle (hand with most outs)
 

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Does "absolute nuts" mean no ties possible?

Paul

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Actually, it doesn't matter. 21 is my answer.

You: Kc Kd
Board: Ks Qd 7c 2h

Outs: any 3,4,5,6,8,K

Paul

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FYP.

Re: Hold\'em Poker Puzzle (hand with most outs)
 

Doesn't the concept of "outs" infer that you are behind.

Don't we need to know what hand you are behind to, in order to know what outs are tainted?