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Situational Trivia Question #4(this could take u a while), maniacmath13, 26. Nov 2003 23:00
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everyone knows that pocket aces is the best starting hand in hold'em, and besides having aces urself, ur gonna be behind every time. but aces dont always hold up...

Question: When heads up, What starting hand gives you the best chance of out drawing pocket aces, and winning the hand?

Good luck!
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Re: Situational Trivia Question #4(this could take u a while), Cyndy, 26. Nov 2003 23:35
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4-5 suited against A-A, neither ace containing that suit. That's my guess.
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Re: Situational Trivia Question #4(this could take u a while), maniacmath13, 26. Nov 2003 23:36
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nope, good try though
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Re: Situational Trivia Question #4(this could take u a while), Cyndy, 26. Nov 2003 23:37
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5-6 suited?
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Re: Situational Trivia Question #4(this could take u a while), maniacmath13, 26. Nov 2003 23:44
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yep
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Re: Situational Trivia Question #4(this could take u a while), Aisthesis, 26. Nov 2003 23:54
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of course equally 78s and 76s with the appropriate suit restrictions--I'm assuming 98s doesn't qualify because some of the straights will go all the way up to A.
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Re: Situational Trivia Question #4(this could take u a while), maniacmath13, 27. Nov 2003 00:01
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well not quite, 5/6 suited also takes away the a-5 straight option for the ace ace, which slightly lowers the a,a's chances of winning, although the chances of winning are the same with 6,7 and 7,8
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Re: Situational Trivia Question #4(this could take u a while), Aisthesis, 27. Nov 2003 00:17
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ok, I see. And 65 also has the advantage of eliminating one of the fives for the low straight draw, too, so it will probably beat 76s by just a hair.
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Re: Situational Trivia Question #4(this could take u a while), Charles Kincy, 28. Nov 2003 22:23
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I need to run this number again, but wouldn't 76s counteract the straight potential of AA? In other words, AA requires 5-4-3-2 for the low end, but 76s *always* makes a bigger straight when this happens.

Further, AA and 65s split on 65432 and all higher straight boards, but 76s wins outright. Though 87s wins outright on 76543--but loses on x5432--so I don't know what that does to the numbers.
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Re: Situational Trivia Question #4(this could take u a while), maniacmath13, 28. Nov 2003 23:51
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technically 5/6 and 6/7 have equal chances of getting a straight, but the thing that seperates these hands is the chance that the hand will end in a tie. and 5/6 has the better chance of ending the hand in a tie. you can figure this out by just listing the hands that would cause a tie, and for this situation, the number of these cards have no effect on any of the tying hands except the straights. so you can make a list of all 10 5 card straights that are possible to be made by the community cards. part of the 7/6 hand can be found in 6 of the 10 straights, which would slightly reduce the chances of that hand appearing, for example, 3 4 5 6 7. the odds of this hand appearing are decreased because we know the 7 and 6 are out. so for 5/6 and 6/7 each of these has both cards appear in 4 of the 10 straights. and in 2 of them, either card appears. But one of the straits that the 5/6 lowers the chances of is the ace 2 3 4 5 straight, which already has a reduced chance, since the 2 aces are out, meaning that 5 has a smaller effect on the straight. therefore that extra 5 doesnt lower the tie chances as much as the 7/6 does.

meaning 5/6 has a better chance of the hand ending in a tie than the 6/7 does, and since they both have equal percentage chance of winning, that extra tie percentage would be taken away from the ace ace chances of winning. giving 5/6 the edge over 6/7

I hope this all makes sense, or maybe i have no idea what im saying, this late at night. lol. oh well, it sorta made sense in my head.
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Re: Situational Trivia Question #4(this could take u a while), TheWarden, 27. Nov 2003 00:23
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My guesses would be either 1) 77 of different suits than the aces, thereby allowing 2 4-flushes, and 5 4-straights in which the ace could not counterfeit a straight...or 2) 87 suited in a suit not shared with one of the aces. Am I anywhere close?

on 26. Nov 2003 23:00 maniacmath13 wrote:
> everyone knows that pocket aces is the best starting hand in hold'em, and
> besides having aces urself, ur gonna be behind every time. but aces dont always
> hold up...
>
> Question: When heads up, What starting hand gives you the best chance of out
> drawing pocket aces, and winning the hand?
>
> Good luck!
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