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It seems that you are looking for a very concrete QUANTITATIVE example of an implied odds based poker decision. That's totally understandable when you consider how a strict, immediate pot odds based calculations and ensuing decisions are calculated and made. However, you also have to understand that not all applications of the implied odds concept are strictly quantitative. Often, in practise, players make decisions based on a more qualitiatve application of the concepts. That's not to say that you can't do a very precise mathematical analysis of an implied odds situation; I'm just trying to partially relieve your apparent fixation on a strict quantitative example to show you that you don't have to do a strict implied odds calculations at the tables to find the concept useful and to apply them to your benefit.
Most of the implied odds scenarios mentioned so far in this thread relate to NL. Just so we don't think of Implied odds in too a restrictive sense, let's also recognize that Implied odds considerations are also used in LHE too. That is, it isn't just about relative stack sizes. In the most general sense , its about how much additional opponent money you expect to go into the pot in future betting rounds; think of it as an upward correction to your (immediate) pot odds that takes into account how much additional money you can expect to win if you hit your hand. (by the way you can think of reverse implied odds as a downward correction in a similar way, but let's leave that for another discussion).
So, just as an example, in NL you are sitting on a small PP and only a small stack (relative to yours) has enter the pot for a raise in front of you. Do you bother calling the PFR to try and hit a set on the flop? Probably not; why risk your chips against a short stack that can't pay you off even if you hit your set. There, you've just made a useful, qualitative implied odds based decision. Here's another qualitative NL example off the top of my head. Say you on are the flop and you are not sure if you are ahead or behind to your sole opponent. He bets and you feel ok about spending that immediate amount of chips to peel one off. But, you think a little deeper and realize that even if you hit on the turn you might still be behind or that the card that will improve your hand will make your opponent's even better. So now you feel that calling the flop bet will commit you to also calling your opponent's likely turn bet too. After some thought you decide that you don't want to commit yourself to fighting it out for THIS pot and that you should pick a better spot to put your chips in, so you fold. Well, whether realizing it or not, you've just applied the concept of (reverse) implied odds to make a good decision without running any definitive math calcs.
Here's a LHE example. If you've read the book 'Weighing the Odds in Holdem Poker' you'll have read about the author's "DIPO method". I won't get into the details, but just so you see how its applied conceptually, he uses the eventual pot size in his quantitative "DIPO" calculations to decide on whether continuing in a hand is EV +'ve. He does this by using the current pot size plus the bet size to call (that's the pot odds part), your estimated number of clean outs AND by also predicting the "eventual pot size" by upwardly correcting the current pot size by making predications about how many additional big bets he expects to get out of his opponent(s) on future betting rounds. I'll leave the nitty gritty details of his DIPO method to the book. I mention this example because its the best direct at-the-table quantitative application of implied odds I've ever seen in the context of LHE and I think everyone should see a solid implied odds based quantitative method at work. (By the way, if I remember correctly, the author calls his method DIPO for "Do I have the Pot Odds to continue". This actually could be considered a little confusing for some, because he is actually also including implied odds in his method (rightfully so too) by taking into account predictions of future action in his "DIPO" calcs.)
Ok, that was a little long winded (good for the wpp++ ), but I hope it helps.
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