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Old 01-24-2005, 08:58 PM
ChrisV ChrisV is offline
Senior Member
 
Join Date: Jul 2004
Posts: 339
Default Re: push or fold under 10 bb\'s rule

[ QUOTE ]
When the SB pushes, this is clear indicator that his A6 is no good.

[/ QUOTE ]

My push range here is approximately any pair, any ace, KQ-KT, QJ-QT. A6o against this range of hands according to Pokerstove has 42.82% equity.

Raising 1000 and then folding leaves you with 1900. Raising 1000 and calling my push gives a pot of 6200, so your equity is 2655 chips. Your play loses 755 chips compared to raising and calling my push.

If you push instead, I'd probably fold A2-A6, 22-55, QJ and QT. For simplicity let's assume your equity against BB if I fold is 300 chips. I'll hold each of those pairs 1/220 times and all the other hands - 7 of em - show up 1/83 times. So (I can just add them together, yeah?) I'll have one of those hands 7/83 + 4/220 = 10.25% of the time. I'll hold the remaining call hands 9/83 + 9/220 = 14.93% of the time. So you've made me fold about 40% of the hands I was pushing with. Equity against the remaining hands is 36.103%. So total push equity is .4 * 2200 + .36103 * 6200 = 2223 chips.

If you've followed me this far, the results of this rambling are:

- Raising to 1000 and folding to a push is the worst.
- Versus me, raising to 1000 and calling my push has better equity than just pushing.

Note that versus a less aggressive player, say someone who only pushes with my call hands above, there's no difference between pushing and raising 1000 and calling the push (for obvious reasons) but both are still worse than pushing.

Also trying to exploit the extra equity of raising to 1000 and calling a push is dubious, because that extra equity comes at the price of putting your stack on the line more frequently.

Phew! Didn't mean for this to be an essay [img]/images/graemlins/wink.gif[/img]
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