#1
|
|||
|
|||
How many combinations of heads up action are there?
Let's say the cards don't matter, or perhaps they are already known. How many different ways are there that a heads up hand can be played?
Lets assume it's heads up, player X posts the SB, and player Y posts the BB. The SB is also the button. 1 possible combination would be, X raises, Y folds. Another combination would be, X calls, Y checks. Y bets the flop, X raises, Y folds. Etc. How many of these combinations are there total? Edit: Assume each player has over 12x BB, and the 4th bet is a cap, like on party. |
#2
|
|||
|
|||
Re: How many combinations of heads up action are there?
Here's a quick stab at this.
Pre-flop: F LC, RC, RF LRC, LRF, RRC, RRF LRRC, LRRF, RRRC, RRRF LRRRC, LRRRF 14 Other streets: CC, BC, BF CBC, CBF, BRC, BRF CBRC, CBRF, BRRC, BRRF CBRRC, CBRRF, BRRRC, BRRRF CBRRRC, CBRRRF 17 So, I have 14 * 17^3 = 68782. There's a good chance I am not right, but like I said, a quick stab at this. -RMJ |
#3
|
|||
|
|||
Re: How many combinations of heads up action are there?
you can't just multiply your 14 by 17 ^ 3 because any time a betting round ends with a fold, there is only one way for the non-existant rounds to play out.
assuming i correctly counted that 7 of the 14 preflop sequences and 8 of the following sequences end with one player folding, how about 7 + 7 * (8 + 9 * (8 + 9 * 17)) = 10206? |
#4
|
|||
|
|||
Re: How many combinations of heads up action are there?
Doh! I knew I had done something silly. Ha ha. I'm such a moron.
-RMJ |
|
|