入正题前，先推荐一家我经常去的在线扑克室，这是家老牌的中文扑克室，人民币美元存取方便，在线网银银行卡信用卡都可以，安全无风险，国人口碑一直都很好。而且现金桌的玩家都玩得比较松，很鱼，很好打。还有大量真钱免费比赛，经常有大型比赛，奖金丰厚，专职混比赛能月赚几万几十万。

贴个详细介绍：大发在线扑克室

帐户注册地址：http://banners.dfbanners.com/redirect.aspx?pid=22406&bid=1976&lpid=357

（送20%周存红利，每周最高200美元）

注册后下载扑克软件，安装运行即可游戏，登录时要注意用户名为大写。

这家扑克室免费比赛很好打，上去赚点生活费不是问题。 如果玩现金游戏不懂得如何存款，可以咨询在线客服，他们都很热情给你解答。

我里面的ID是：feiyun88 一般混10/20$现金桌，大家大可以来找我交流切磋，一起来杀外国鱼。

入正题：

Let:

E = the equity of calling and winning

E = the equity of calling and losing

E = the equity of folding

P = the probability of winning

For simplicity, we will ignore the possibility of a split pot. For most hands this minor factor can be safely ignored.

Now:

E x P E x (1 – P) = E

Since E in this hand is zero, we can ignore that term and end up with:

0.1844 x P = 0.0991

P = 53.74%

According to the ICM, we need to win 53.74% of the time to make this a call. Since 2h2d only beats AcKd 52.34% of the time and ties 0.31%, this would be a fold.

Furthermore, we can calculate exactly how much making this call would cost you. The equity of calling is:

P x E P x E

= 0.5234 x 0.1844 0.0031 x 0.1000

= 0.0994

Subtracting this from E gives 0.18% of prize pool. In a $100 buyin SNG, calling here costs $1.80.

Since the player with the AcKd is a dog to us, he fairs much worse:

P x E P x E

= 0.4730 x 0.1844 0.0031 x 0.1000

= 0.0875

This is a loss of 1.16%. This hand would cost him $11.60 in a $100 buyin SNG.

Alert readers might recall that the total amount of equity in a tournament is constant. But in this hand, both players involved in the hand have lost equity. Where has this equity gone?

The answer is that it is distributed evenly amongst all the other players in the tournament. In an SNG, every player has a stake in every hand. If you have ever been short stacked and heaved a sigh of relief at someone else busting on the bubble, you will be intuitively familiar with this idea. Even though you weren’t involved in the hand, it’s obvious that your equity in the tournament just took a big jump. Similar effects are taking place on every hand of the tournament, albeit usually in a much more minor way.

This net equity loss isn’t limited to hands where the participants are allin. Suppose two players have a confrontation on the first hand of a 2000-chip SNG where they are both exactly 50% to either win or lose 500 chips. Their possible equities after the hand are:

2500 chips: 0.1223

1500 chips: 0.0767

Averaging these gives 0.0995, so each player has lost (on average) 0.05% of the prize pool, or about 50 cents at a $100 buyin tournament. That money has been redistributed amongst all the other players in the SNG. Having another identical confrontation just makes the problem worse. There’s a 50% chance that they’ll both end up with 2000 chips again, returning everyone’s equity to 0.1. But the other 50% of the time, the stacks will become even more unbalanced:

3000 chips: 0.1438

1000 chips: 0.0524

For the player who started with 2500 chips, his average equity after this hand is 12.19%, a further loss of 0.04%. The player with 1500 chips gets an average equity after the hand of 7.62%, a further loss of 0.05%. Once again, the equity is distributed amongst players not involved in the hand.

---------------------------

其实大概也就这样，有空可以到我上面介绍的大发扑克室找我交流切磋，我带你们打比赛。