Sunday, July 1, 2007

Hold 'Em Scholar Wrap-Up: Playing A-Q Pre-Flop

So this is where I take all the advice I've written about in previous posts regarding playing A-Q pre-flop and synthesize it. The majority on this issue says that you should generally play A-Q pre-flop from all seats at a 10 person table. The only exception is T.J. Cloutier, who says that you should not play A-Q in a tournament from seats 1 through 5. So, the real question is whether T.J.'s advice is sound.

So let's break down how good or bad a hand A-Q really is. Now, for starters, A-Q is an underdog to any pair ( ). What are the chances that someone else is holding a pocket pair at a 10 seat table? About 16.4% (math below if you're interested). So you're not likely to be facing a pair pre-flop. Even if you are facing one, you can beat most pairs by drawing an ace on the flop.

Now, in terms of overcards, only A-K is a better non-pair hand. At a 10 seat table, there is a roughly 1.3% chance that one of your opponents is holding A-K. So, combine the odds on pairs and this and there is about an 82% chance that you have the best hand when holding A-Q pre-flop. This would seem to support a bet from any position at the table, absent better information.

T.J. Cloutier's argument, however, is that what do you do when an A comes up on the flop? How do you know that one of your opponents isn't holding A-K? Obviously, you don't. The chances that someone is holding A-K, however, are quite small, as I just discussed.

Ok, so you generally want to play A-Q based on straight probabilities without knowing anything else about what your opponents are holding. But sometimes you do know more about what they are holding. What do you do with A-Q then? Let's say you're in middle or late position and there is an early position call -- a limper. Could be the limper is slowplaying a better hand than you but the odds are long against it. So the limper is probably playing a worse hand and hoping to see three more cards cheap. When you're holding A-Q, you want to raise the limper so he either folds or puts more money into the pot (at which point you can better assess whether he's slowplaying).

Now what if you're in the same position but there is an early position raise. Do you call, reraise, or fold? Obviously, the permutations here are endless (size of raise, what you know about player, etc.) but let's explore them a bit. A raise indicates some strength, so you now have to lower that 82% chance that you're holding the best hand. Indeed, it is somewhat likely that the early raiser is holding a pair, face cards, or A-x at least. Let's say you're now 50-50 to be holding the best hand and 50-50 to have the best chance of winning a showdown. Based on these odds alone, a conservative tournament player should probably fold here, particularly in the early rounds where blinds are low. The larger the raise, the worse your odds become, all else being equal, and calling such a raise is not something that a tournament survivor wants to do.

What about when you're in early position with A-Q. As I see it, it doesn't make much sense to limp in with this hand. If you do, you'll likely find yourself in a multi-way pot with a hand that could easily be second-best or worse. So, you want to put in a decent raise when you open the betting with A-Q, to discourage others from playing their hands.

So that' s the wrap. Whose advice does this sound like: a lot like Harrington's and Phil Gordon's to the extent we can tell. Now, the exception from Harrington is that he has you calling early position raises when you have A-Q suited and folding if you don't. Harrington has you raising early position limpers with A-Q suited, simply calling when you don't. So, I've essentially reasoned my way back to Harrington here.

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