#11
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Re: Distribution of CP2-7 Hand Values
[ QUOTE ]
(I would be interested to see things on the low end: is the 10th percentile significantly stronger or weaker in CP2-7 than in CP high? It may make a lot more sense in 2-7 to weaken the front in order bolster the middle.) [/ QUOTE ] CP high - front 10% K32 20 KQJ 30 AQ6 40 AKT 50 552 60 88T 70 TT9 80 QQ8 90 KKQ CP 2-7 - front 10 KQT 20 AK8 30 88J 40 JJ8 50 QQK 60 KKJ 70 AA6 80 AAQ 90 333 |
#12
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Re: Distribution of CP2-7 Hand Values
Interesting. CP has its big jump in value between 40% and 70%, while CP27 does it between 20% and 40%
Can we get enough data to graph these? I think it would be nifty. |
#13
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Re: Distribution of CP2-7 Hand Values
[ QUOTE ]
Interesting. CP has its big jump in value between 40% and 70%, while CP27 does it between 20% and 40% Can we get enough data to graph these? I think it would be nifty. [/ QUOTE ] One of us could actually break down and buy the Smolen book. [img]/images/graemlins/smile.gif[/img] Or, I could make the trivial changes needed to evaluate high -only hands and generate a new data set. |
#14
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Re: Distribution of CP2-7 Hand Values
[ QUOTE ]
Interesting. CP has its big jump in value between 40% and 70%, while CP27 does it between 20% and 40% Can we get enough data to graph these? I think it would be nifty. [/ QUOTE ] Graph? Did sombody say graph? I've been thinking about a graph, and I have Smolen's book. I was thinking about the middle hands. There are ~7463 distinct poker hands. If we indexed the CP high middle hands with a royal flush = 1, and indexed the CP 2-7 middle hands with 75432 = 1, we could do a nice comparative graph of all three hands for the two games. No time now, but maybe this weekend I'll look at it. We could even throw in "unconstrained" values... |
#15
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Re: Distribution of CP2-7 Hand Values
Wow, this is good info. I have nothing constructive to add, but thanks for doing this.
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#16
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Re: Distribution of CP2-7 Hand Values
I was out of town for a while, so I just started collecting some data. Although the WSOP and the U.S. Open are underway, the question on everyone's lips seems to be, "When can we see some graphs?"
I took some middle-hand data from Mr. Smolen's book and Mr. Gritter's link. I then converted the hands to their rank among the 2,598,960 possible 5-card poker hands. Soley as a matter of convention, I always took the worst case senario. If a flush was listed as J9 high, I used J9432. If a hand was listed as queens full, I used QQQ22. Likewise, the best high hand, a Royal Flush, would be #4 as there are four of them, and for lowball calculations a 75432 bicycle would be #1020. Bellow are two graphs of the same data. Now the same data but graphed on a log index. As I'd suspect, the 2-7 straightens out much more than the CP middle hand. |
#17
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Re: Distribution of CP2-7 Hand Values
Here are a couple of graphs of the front 3-cards hands for CP and CP2-7. Data from Smolens and Gritter.
The first one shows data by hand rank among 22,100 possible hands. The second graph show the same data by the percentile ranking (ranking/22,100). Using percentiles will allow the presentation of 3-card and 5-card hand data on the same graph. |
#18
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Re: Distribution of CP2-7 Hand Values
I put up some new data, from a 10M-hand sample. (These files are pretty large, 236KB for the backs, 356KB for the middles, and 28KB for the fronts.)
http://www.lowballgurus.com/cp27/10M-backs-2.txt http://www.lowballgurus.com/cp27/10M-middles-2.txt http://www.lowballgurus.com/cp27/10M-fronts-2.txt http://www.lowballgurus.com/cp27/10M-backs-3.txt http://www.lowballgurus.com/cp27/10M-middles-3.txt http://www.lowballgurus.com/cp27/10M-fronts-3.txt I put up the distributions from two different iterations over the same set of hands, to illustrate how the maximally exploitive strategy switches strength between the front and the back/middle. There are about 2% fewer pairs in front in "3" than in "2". |
#19
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Re: Distribution of CP2-7 Hand Values
[ QUOTE ]
There are about 2% fewer pairs in front in "3" than in "2". [/ QUOTE ] That seems like a lot, but maybe it's not--have to think about it. Hmmmm..... maybe a graph.... |
#20
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Re: Distribution of CP2-7 Hand Values
Here's all three, graphed as percentiles of total hands. (Original data set.)
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