by Felonius_Monk » Wed Dec 22, 2004 5:35 am
Pot is laying 2-1. As you hold the Jh, the 3 non-heart 8s are certain to be clean outs (not sure how MindOverMatter has four queens as outs here - you only have a gutshot AFAICS!).
Now, consider the possible likely matchups of your opponents. I would say the most likely would be that one holds TPTK and the other has a set or two pair. With no preflop raise, overpairs to the board seem unlikely.
Up against a set, you win a little over 1/3 of the time if the two players have one heart between them. I would reckon this is the most likely scenario.
Up against TPTK and two pair, you win an impressive 44% of the time if they have one heart between them. This looks likely to be your best case scenario.
Up against two pair and a player with a flush draw (lets call it Ah9h) you win a fairly pitiful 14% of the time.
So, unless your opponents hold NEITHER a flush draw NOR a set, you don't really have odds to make the call. If we consider the set slightly more likely than the flush draw, we can guesstimate that when your opponents hold EITHER a flush draw, or a set OR both, your gross equity in the final showdown will be somewhere in the region of 25%, perhaps give or take a few %. If your opponents hold NEITHER a flush draw nor a set then you can estimate your equity fairly accurately in the 45% region, tops. These might be fairly forgiving percentages.
You need to be winning over 35% of the equity to make this a decent call. Personally I like to avoid marginal situations, and so I'd set my "cut off" figure for such a nebulous decision as being fairly sure I hold around 40% of the equity or better, before committing my chips.
Given the 25% win figure vs any set or flush draw holdings, and the 45% win figure for "any others", to be winning 35% of the chips you need to be around 50% certain that NEITHER player has a set or a flush draw.
If you want to be winning about 40% of the chips you need to be around 70-75% certain that NEITHER player has a set or flush draw.
So, I would say, for this to be a +ve EV move you need, at the VERY BARE MINIMUM, to be 50% sure you are facing two hands of quality equal to or worse than two pair. In this situation I don't see how you can make that assumption, so I think it is probably correct to fold here, in most situations. The call is marginal and depends largely on the chance of a higher flush draw being out.
Looking at it another way: Because you're only break even to call when there's a set out, and a big loser when there's a flush draw out, and you're ONLY making money on the call when there is no set OR flush draw out, AND because you're far more -ve EV against a higher flush draw, than you are +ve EV against two pair and TPTK, you need to be pretty sure there is no higher flush draw out. Given the marginality of the other situations, I would suggest that if there's more than maybe a 10-15% chance of someone holding a higher flush draw, you should fold. In this spot I don't see how you can rule out a flush draw to such an extent, so I don't see how calling can be correct.
Of course, this sort of analysis is not possible at the table, so you have to have some idea of marginality and how close you are to the brink in terms of expected value. I think in this spot that the call is close but conventional wisdom, without delving too deep into the mathematics of the situation, would suggest a fold is in order, but that the situation is clearly quite marginal. Without being able to prove to yourself that a call is +ve EV in the time given to make your decision, I would err on the side of caution and pass the hand. In calling, I would suggest that you are essentially guessing that you had odds to do so, unless you were party to a read on these opponents that you have not divulged.
Thoughts?
Monk
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