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Old 08-07-2003, 08:07 PM
asdf1234 asdf1234 is offline
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Join Date: May 2003
Location: Minneapolis, MN
Posts: 579
Default Re: Need frequently used probability chart

It's pretty easy to calculate these once you get the algorithm down.

Let's say that you're holding two hearts and two more hearts come on the flop. You've got nine outs to improve. You have to calculate this with two cards to come by figuring out your chance of not improving and then subtracting that from one.

So, 47 unknown cards in the deck, 9 of which help, 38 of which don't. Therefore, your chances of missing on both the turn and river are (38/47)*(37/46) = .6503237

That is the probability of missing, so the probability of hitting is 1 - .6503237 = .3496762

If you want to convert this to odds, just take .6503/.3497 = 1.86. Your odds of hitting are 1.86:1 against.

There's a decent discussion of hold 'em arithmetic in More Hold 'Em Excellence by Lou Krieger. Of course you could also pick up a probability/stats book.

That being said,
(all with two cards to come)
Open ended straight: 2.2:1
Gutshot straight : 5.1:1
Boat with two pair : 5.1:1
Flush : 1.86:1

You can calculate the other ones with the method I outlined above. Hope this helps.
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