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Old 08-03-2004, 04:56 PM
tardigrade tardigrade is offline
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Join Date: Jun 2004
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Default The ace killers

I've been running some stats from a new program I've written to calculate preflop odds heads-up. Essentially I have a matrix of all possible starting hands and for each valid combination, the number of all possible community card combos that the row wins, the column wins or they tie.

First, I'm wondering if there are some independent stats that I can verify my results against. The results seem reasonable, but I'd like to get some confirmation from an independent source before I put them to use to make sure I don't have some subtle errors in there.

Secondarily, here are some interesting preliminary results:

Heads-up, all-in versus A[img]/images/graemlins/spade.gif[/img]A[img]/images/graemlins/diamond.gif[/img], the best hand to have, of course, is the remaining AA. Interestingly, the second best hand seems to be either 6[img]/images/graemlins/heart.gif[/img]5[img]/images/graemlins/heart.gif[/img] or 6[img]/images/graemlins/club.gif[/img]5[img]/images/graemlins/club.gif[/img]. I'm guessing this is because of a) the maximum winning flush and straight combos, b) none of the straights contribute any cards to a higher straight for the AA, c) half of AA's straights (A2345) are stolen by the 6.

The worst possible hand seems to be either K[img]/images/graemlins/spade.gif[/img]2[img]/images/graemlins/diamond.gif[/img] or K[img]/images/graemlins/diamond.gif[/img]2[img]/images/graemlins/spade.gif[/img]. I'm guessing this is because a) neither hand can win with a flush, b) any straight the K participates in at best splits with the ace and often loses, c) when the K2 gets two pair, any pair on the board (except for kings or twos) counterfeits the hand and the aces win, d) if either the K or 2 pairs up, the aces are one card closer to a straight that would only make a 4-straight for the K2.

Has anyone seen any similar stats?
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