Calculating odds against a RANGE

[Actual God]

Where can I find a tool that allows me to calculate my odds against a range of hands, not just a hand (like twodimes.net) - thanks.

[cboevey]

Errr I'm pretty new at this, but can't you just average your EV figures by putting in one hand at a time? That would be assuming the probability of the opponent holding a specific hand in your range is equal - otherwise you could multiply your EV by the probability of the opponent holding that specific hand as long as the probabilities for your range sum to 1.

The difficulty with a tool would be to define what is in a range.

[AKQJ10]

I think Poker Stove does this, but it's not free.

[DCIAce]

Poker Stove does do this, and it is free. It's fairly easy to use, as well.

[LimpyMcGee]

Ummm, is there another PokerStove? The PokerStove I use is free.

http://pokerstove.com/download/license.php

[AKQJ10]

Well, I'll be damned. Maybe I should install it then, or at least not open my mouth when clueless. I always thought it was for sale.

Is it spyware/adware free?

[LimpyMcGee]

Yep. Spyware and adware free. Just a nice little piece of free software.

[Brent.]

Did there not used to be a link where you could use Pokerstove just in your browser? I'm on a mac and the Pokerstove download is for PCs. [img]/images/graemlins/frown.gif[/img]

[Ulbh]

Pardon me if I'm misreading your question, and for belaboring this in front of a lot of people who already know it, but ...

All hands aren't equally probable. Once you take your 2-card pocket out of the deck, there are 1225 other 2-card combinations possible (1326 if you ignore your hand). Out of those, there are 6 ways to make each pair (except for the ones where you have 1 or 2 of that rank in your hand already, reducing it to 3 or 1 respectively), 12 ways to make any particular unsuited hand, and 4 ways to make a particular suited hand. So if you assign an opponent to some "tight" category, you might give him a range something like "AA:TT,AK,AQs" for an open-raise in EP. That would mean he's raising with 50/1326 = 3.8% of his hands.

Within that range (by Bayes's Theorem), each pair accounts for 6/50 = 12%, AK for 16/50 = 32%, and AQs for 4/50 = 8%, so you can approximate that he has a PP 60% of the time.

That should sober you up if you're thinking about calling one of these guys with AQo, especially since you holding an AQ makes it that much more likely he has something else :-)

Pokerstove makes it trivially easy to enter ranges. It is also blindingly fast compared to anything else I have seen.

As far as estimating hand ranges and such on the fly, you can see here where I worked this stuff out for myself, including a computational (not-very-)shortcut, which is just a crutch to use until you've done enough of them that your spine tells you the answer without your brain getting involved.

[ QUOTE ]
Errr I'm pretty new at this, but can't you just average your EV figures by putting in one hand at a time? That would be assuming the probability of the opponent holding a specific hand in your range is equal - otherwise you could multiply your EV by the probability of the opponent holding that specific hand as long as the probabilities for your range sum to 1.

The difficulty with a tool would be to define what is in a range.

[/ QUOTE ]