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Holdem Equity Calculator With Hand Ranges On Noted Poker Authority

Posted on Mon Oct 15, 2007 03:30:34 PM
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A week and a half ago, I announced that I was adding some poker simulation tools to NPA. The first tool I added was a pot equity calculator that calculates pot equity for six different games: Hold’em, Omaha, Omaha/8, Stud, Stud/8, and Razz. The downside to this tool is that you have to specify the exact cards for each hand. Unfortunately, in poker you don’t know exactly what your opponents have; you just have a general idea of their hand ranges.

Thus, I have spent the last ten days feverishly coding a new tool that lets you assign hand ranges and pit them against one another to calculate pot equity. This tool only works on hold’em hands (for now).

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10 Responses to “Holdem Equity Calculator With Hand Ranges On Noted Poker Authority”

Todd
@ Mon Oct 15, 2007 07:40:29 PM
1

Thanks Ed. Nice tool.

RJ
@ Mon Oct 15, 2007 08:38:38 PM
2

QUOTE: This tool only works on hold’em hands (for now).

COMMENT: This would be awesome!

threads13
@ Tue Oct 16, 2007 04:44:19 PM
3

Ed,

Very cool. This should come in handy when I am at working and running through some hands in my head.

Incidentally, this let’s me do even less work when I am at work which is +EV in happiness. :)

4

[...] is in it’s infancy, but is very cool. He doesn’t have much documentation on it so you will have to look here to figure out how to put in ranges and the [...]

ExMember
@ Tue Oct 16, 2007 08:01:46 PM
5

I was just dreaming of a tool like this a few days ago. In my dream you could assign percentages to different hands.

For example: 75% he would check raise here with the nut flush (AsJs+) but 25% of the time he’s semi bluffing with the nut flush draw and two overs (AsJx+). What’s my equity now?

How about adding that to your tool?

Ed Miller
@ Tue Oct 16, 2007 08:16:19 PM
6

ExMember,

Thanks for the great suggestion. It’s so great that I was already planning to do exactly that! Look for it soon. (I’m thinking about doing it like this… after each unit in the range you can have a :%% value such as AA-TT:75,AK:25 which would mean that you’d expect him to play AA-TT this way about 75 percent of the total times dealt it and AK about 25 percent of the total times. If you would prefer a different mechanism, let me know.)

After that’s built, I plan to add some stock player “models” that will assign percentages for each of the 1326 hands that relate to how often they’d play the hand preflop. So “Tight Early Raiser” might have 100 for KK but only 30 for 44, say. And “Blind Stealer” might have 100 for both KK and 44 and maybe 50 for J9o. I don’t know what the exact numbers should be yet, but that’s my idea. Then you could filter all your ranges through these models. Like you could say, **:LooseBigBlindCaller which would say that your opponent currently has a random hand, but he’ll call with the frequency of a loose caller in the big blind.

Just some ideas I’ve had for improving the tool. Obviously these would all be add-ons and you could always use the tool in its current vanilla form if you wanted.

Tivo
@ Wed Oct 17, 2007 03:01:56 AM
7

Thanks for this Ed. The ideas for future development are just what I need!

A question – If I enter the following into the Equity Range Calc to calculate my equity with AdKd against a villain’s range:

QQ+,AKo,AKs
AdKd

then I get 34 combos for the villain’s hand wheras if I enumerate the AKs like this:

QQ+,AKo,AcKc,AsKs,AhKh
AdKd

I get 33 combos. Is the evaluation engine in the first example wrongly putting AdKd in the villain’s range?

Ed Miller
@ Wed Oct 17, 2007 08:32:26 AM
8

Tivo,

The short answer is, yes, it’s counting AdKd as the 34th combo. It’s only really “wrong” in the instance you presented where the 2nd range only has one option. If it were AdKd,AhKh, then there would again be 34 possible combos for your range. So instead of making what seems to me like an artificial exception for one hand ranges, I just left it so it takes only the board cards into account when it removes “impossible” hands from the range.

But when it actually calculates the answer, it will never choose a scenario where both players hold AdKd. That part works as expected. The way it works is that it will select AdKd for range 2 first (b/c it’s the shortest range) and then remove that possibility from range 1 before choosing a hand.

threads13
@ Wed Oct 17, 2007 09:51:31 AM
9

It will be really cool if you can weight each range. That will be a big lead in these calculators. I often do this with Poker Stove by just removing some of the combos, but there is clearly some issues with that.

10

[...] You can find details about the calculator, including a feature list and quick usage guide, here. [...]

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