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 01-13-2008, 06:15 PM #1 grinder   Join Date: Jan 2006 Posts: 432 Calculating probabilities of different flop textures I've been wondering how to mathematically calculate the probabilities for how often some kind of flop comes. I'd like to know how often flop comes Axx, or QJx-AKx, or QTx-AQx. Is there any reasonably simple way to calculate that or is it better to just make a computer simulation and monte carlo it?
 01-13-2008, 06:24 PM #2 grinder   Join Date: Jan 2006 Posts: 432 Re: Calculating probabilities of different flop textures Also it would be interesting to know how often all cards are T or lower.
 01-13-2008, 06:39 PM #3 grinder     Join Date: Jun 2005 Location: Sweden Posts: 675 Re: Calculating probabilities of different flop textures Should be kinda easy. See how many combinations there are of the flop kind that you're interested in. Axx, for example: 4*46*45*3. The four is for the four aces (assuming you don't have an A in your hand), 46 and 45 are for the remaining unseen cards, 3 is for the fact that the A can be any of the 3 flop cards. Divide by the total number of possible flops.
 01-13-2008, 08:17 PM #4 Stoxpoker Sponsored Forum     Join Date: Oct 2005 Location: Edmonton Posts: 4,245 Re: Calculating probabilities of different flop textures Total possible flops is 50^3 yes?
01-13-2008, 10:36 PM   #5
Pooh-Bah

Join Date: Sep 2006
Posts: 3,655
Re: Calculating probabilities of different flop textures

Quote:
 Originally Posted by The Bryce Total possible flops is 50^3 yes?
The total number of flops is 50C3 which by definition is 50*49*48/(3*2*1) = 19,600 .

There are 50 choices for the first card , 49 for the second card , and 48 for the third card . Finally we divide by 3! since order doesn't matter .

i.e., {ABC , ACB , BAC,CAB, CBA, BCA } = 3! possible orderings which we must divide .

 08-15-2012, 08:11 AM #6 Pooh-Bah     Join Date: Jun 2006 Location: Guangzhou, China Posts: 4,599 Re: Calculating probabilities of different flop textures did anyone find this?

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