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Old 05-24-2007, 01:39 AM
MarkGritter MarkGritter is offline
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Join Date: Jan 2005
Location: Eagan, MN
Posts: 1,376
Default Re: Distribution of CP2-7 Hand Values

Also posted: preliminary results about hand strengths in front, middle, and back!

Unfortunately, I have now found three bugs in my code that have affected this data set, probably in small ways. (Straight flushes were not handled correctly. Pairs in back may have been treated like trips in some cases--- not predictably, possibly not at all in the context of this data set. Two pair kickers greater than either pair were given an incorrect strength.) Use with caution.

http://www.lowballgurus.com/1M-backs.txt (219KB)
http://www.lowballgurus.com/1M-middles.txt (284KB)
http://www.lowballgurus.com/1M-fronts.txt (27KB)

Each file is ordered with the weakest hands first. The first column describes the hand, the second column specifies how many occurrences of that hand in the 1,000,000 settings examined, and the third column specifies the percentage of the 1M hands less than or equal that hand in strength.

(Note that the percentage is not exactly how often the hand "should win" because your opponent's distribution is altered based on the cards you hold--- it would consist only of a nonrandom subset of the possible hands.)

Median hands from this sample:
Back: KQJ42-flush
Middle: 98754 low
Front: QQK

Interesting tidbit demonstrated: It is always incorrect to play an ace as the kicker to two pair in front. Do you see why?

Back hands:
Straight flushes: 0.2%
Quads: 3%
Full houses: 34%
Flushes: 27%
Straights: 11%
Trips: 1.6%
Two pair: 14%
One pair: 7%
High card: 0.2%

Middle hands:
75432: 5%
7-low: 14%
8-low: 20%
9-low: 17%
T-low: 13%
etc.
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