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Some Additional Applications of Blockers
Almost a year ago I finally sat down and wrote out a post describing different ways hand combinations work in holdem (link). The information in that post is pretty important and you'll need to understand it before you can really get the following. Here I'm going to elaborate on some other ideas having to do with blockers that sort of go together but don't really belong anywhere else, so I threw them all together.
Blockers That Raise Your Fold Equity
Quoted from the post I linked to above:
Suppose that in some preflop scenario, we hold A3s and Villain's range is { QQ+, AK}. That gives him 12 possible combinations of AK, 6 of QQ, 6 of KK and 3 of AA, for a total of 27, and 33.33% of that range is KK+. If instead, we held JJ, then Villain would have 16 possible combinations of AK, 6 of QQ, 6 of KK and 6 of AA, for a total of 34, and 35.3% of that range would be KK+. The point is that blockers have the potential to weaken our opponents' ranges significantly.
This is what most people think of when the topic of blockers comes up, which is why I've copy/pasted it here. Now consider the following:
Blockers That Lower Your Fold Equity
Generally when we think of blockers we consider cards that reduce our opponent's continuing range to some bet or raise or whatever. But this isn't always the case.
Suppose an EP opponent in full ring opens {77+, AQ+}, they continue with {JJ+, AK} and we 3-bet bluff them with 43s (no blockers). His opening range is 80 combinations, and his continuing range is 40 combinations, so he folds 50% of the time. Now suppose that instead, we 3-bet bluff with AJo (Ace and Jack block his continuing range, a.k.a. they are blockers). Then his opening range is 66 combinations, his continuing range is 30 combinations, and so he now folds 54.5% of the time, a small improvement. Finally, suppose we 3-bet with 87s (Eight and Seven block his opening range without blocking his continuing range). Now his opening range is 74 combinations, and his continuing range is 40 combinations, so he folds only 45.9% of the time.
In scenarios where we would like to have some fold equity, our hand can have three possible effects on our opponent’s ranges. First, it can have no effect at all. Second, it can serve as a blocker for the continuing range. Third, it can serve as a blocker for the betting range, but not the continuing range. When our hand is in the second category, we will have more fold equity than if it was in the first category, and we typically refer to this phenomenon as having blockers. When our hand is in the third category, however, we will have less fold equity than if it was in the first category, and I've suggested calling this having "reverse blockers".
To give just one application of this, in full ring NL games right now people are discovering that a lot of the regulars have EP ranges that are very exploitable to 3-bet bluffs. This idea shows that hands like ATs will have a lot more fold equity than hands like T8s.
Blocking Draws
The cards we hold can "block" other combinations our opponent could hold in many other situations besides preflop bluffing scenarios. While these bluffing scenarios are usually brought up to illustrate the basic points because of their ease of use and understanding, they are far from the only use for blockers in holdem.
Suppose a fairly tight player opens in EP, you call with A K in position, and the flop comes K 8 7 . You might need to consider what draws your opponent could likely have at some point in the hand, but because you hold the A , almost none of his likely flush draw combinations (besides some SCs) are available.
Along the same lines, suppose you hold JJ on a board of Q93, and have to consider that your opponent may have JT. It's half as likely now because of your Jack blockers.
So yeah there you go, I'm finished typing for now.
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