Postby Garth Kay » Sat Jun 20, 2009 11:07 am
Would you agree with either of these statements:
Any game of poker is all about making +EV plays
A player who always makes +EV plays over an infinite amount of hands will be a winning player
Let's use this scenario:
Blinds are 1000/2000
Action folds to button and he shoves for 3,500
SB Folds
You are in the BB holding 4,5s such a rag hand, and probably not a hand you would a call an all in with.
You have a magical read and you know without a doubt your opponent is holding AA. If anyone can do this and read at this level I will be astounded and give up poker.You would have to be playing against someone who jumps out of their chair every time they see AA.
Now our percentages of each player winning the hand:
4,5s - 20.29%
A,A - 79.22%
Tie - 0.49%
I am calling of 1,500 to win 6,500. I am effectively getting 4.3 to 1 on pot odds. And the total pot is worth 8,000.
Let's run this hand an infinite amount of times which negates the impact of variance. Now if we take a sample of 100 times (and extract the variance impact).
I will call off 1,500 chips X 100 times = 150,000 total in chips - my cost to be involved in this hand.
I will win 20.29 times, 20.29 X 8,000 = 162,320 equals chips I win over this sample
Even if we round this down to 20 I will win 160,000 in chips.
This is a +EV play for me, maybe only slightly +EV, even neutral really, but the fact of the matter is over an infinite amount of times I will make profit from calling in this situation with a dog hand.
Then we have to look at other external factors such as effective chip stack sizes, equity involved in the hand, playing style of your opponent, shoving ranges, etc.... In this scenario, playing online especially, you cannot put your opponent on AA. His shoving range is huge if he is any type of decent player.
Also the cost to your stack and the position you leave your opponent if he does double through needs to be considered. But in these scenarios it is almost negligible. I would suggest that if you are priced in at 3 to 1 or greater and it will cost you up to 8% of your stack then it is a snap call with ATC.
I do not fault anyone from calling an PFAI when they are in a heads up or multiway situation if they are priced in and they are not removing anymore than 10% of their stack to call.
To be quite honest I quite enjoy making those calls with rag hands when I have equity in the hand, am getting the right odds and it's only a fraction of my stack. Because when I do win with those rag hands, I move one spot closer to the money and I have someone on the rail screaming at me for being a donkey: I relish the fact that there are still some tournament players out there that do not grasp the basic mathematical fundamentals of this game. And I know that poker will be around for years and years and continue to thrive.