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Old 05-26-2004, 01:29 PM
Louie Landale Louie Landale is offline
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Join Date: Sep 2002
Posts: 1,277
Default Re: Median Best Holdem Starting Hand

Your chart shows how each hand fares against N random hands played hot-and-cold. Curious that 63s wins "fair share" 10% against 9 opponents. Its a fair judge as to which hands are better than others.

The original question is "what's the chances I have the best hand right now?"; or more specifically "What's the median best hand I have to beat" which is the same as "What hand can I have that's 50:50 to be the current best".

Now "best" means you ranked the hands from best to worst, say AA, KK, QQ, AKs, yaddy yaddy and do some analysis. Your chart would work; just sort it on the "9 opponents" column then weigh each hand based on how many of each there is (6 for each pair, 4 for each suited hand, 16 for each unsuited hand). Keep a running total; may look like this:
Hand # Total %(divided by 1326)
AA 6 6 .45%
KK 6 12 .9%
QQ 6 18 1.35%
AKs 4 24 1.8%
...
72o 12 1326 100%.

Thus if you have QQ your hand is no better than 1.35% of all hands.

There will be righteous debate on the rankings, such as whether JJ is better than AKs. But that doesn't matter.

- Louie
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