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Thanx for the advice Guys. When I get short stacked and have to push I feel like I'm playing rock, paper, scissors. If I get called by JJ I'm better off with KQ than AJ, but if I get called by AT I'd much rather have AJ than KQ. I used to think A-X was good heads up because you can win with ace high against an average hand that does not improve. After much thought I've realized that this only applies in situations where your opponent is forced to play a random hand i.e. almost all-in in the BB. The important thing when you have eneugh chips to make a meaningfull raise is how well your hand will fair against a hand powerfull eneugh to call that raise i.e. AK, AQ, big PPs, the smaller your stack the longer the list of hands that can call you. The problem I've found with A-Xo is that you're a slight favorite to KQo (EV = 0.580 from www.twodimes.net ), a heavy underdog to AK,AQ etc. (A5o vs AKo: EV = 0.278!!), a heavy underdog to any PP higher than your X (A5o vs TT: EV = 0.297) and any PP smaller than your X folds.
As an experiment I've done a weighted average of the EV that A5o has against the only hands likely to call a 9xBB raise UTG 8 handed, I've included the following hands with the weights determinded by their relative probabilities when my cards are removed: 3xAA,6xKK,6xQQ,6xJJ,6xTT,6x99,9xAKo,3xAKs,9xAQo,3x AQs,9xAJo,3xAJs,3xATs,12xKQo,4xKQs,4xKJs,4xQJs. My results: A5o vs. the above hands: EV = 0.350 YUCK!! %65 chance of elimination if I get called!! All to steal 1.5 BBs. You're right LeFou A-Xo is a sucker push!! Given these requirements(96 combinations out of 1225) and 7 players yet to act I will have a 0.565 chance of a successfull steal ( (1225-96/1225)^7 ) making 1.5 BBs, I have a 0.152 chance of getting called and winning making 9.5-10.5 BBs, I have a 0.283 chance of getting called and losing, losing 9BBs and busting out, for an overall EV of roughly -0.15BBs. This is a huge risk with a negative reward! I'm going to try this experiment with some other marginal push hands i.e. 88, KQs etc. 27s for ADWCTA , which I'm guessing will beat A5o because it won't be dominated so often. I'll post the results in a new topic on probabilities. Thanks for the help Guys
Schmitty, I think your play was alot better than mine because you were heads up, you are much less likely to get called, in the long run you will make alot more in steals and getting called and winning than you will lose when you get called and lose, as annoying as this may be when it happens. In this case you had the best of it too (A6s vs TJo: EV = 0.569 from www.twodimes.net ). Being suited usually adds %2-%3 to your wins.
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