Posted by Dr Fro 6:35 PM
I have talked before about there being no transitive property in poker, referring to players, The same holds true for hands. For example, look at these win percentages heads-up, preflop

A As5s v 2c2h: 50.2% v 49.8%
B 2c2h v Ad6d: 50.11% v 49.9%
C Ad6dv As5s: 56.6% v 43.4%

Hand A beats hand B heads up, B beats C, and C beats A. (btw, in a 3-way pot, the pair winns 38% of the time)

On a similiar note
D AsAd v KhKc: 81% v 19%
E AsAd v 6h7h: 77% v 23%
F 6h7h v KhKc: 22% v 78%

So, even though KK kills 67suited, the 67suited plays better against AA. (btw, in a 3-way pot, the Aces win 61% of the time, 67suited 21% and KK 18%)

So how should each hand play? Lets just make a very simple assumption - each caller is in for $100 pre-flop with no more betting. Clearly, hand A prefers two callers to win 38% of $200 over only app 50% of $100 with one caller. This is no surprise, as we know that 22 is a drawing hand, so you want lots of callers and no raise pre-flop. Same holds true for hand F, which fares better with more callers.

What is intersting in this example is AA does better with 2 callers (EV=app $80 vs heads up EV = app $60). While typically high pairs want to drive others out of the pot and go heads up, the AA doesnt mind a few callers in certain situations.

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