Originally Posted by perplexed76
he is folding 100%...what is he mixing up? folding and folding?
Ahhhh... I see where you may be confused. I used the word "mixing" as a general term to mean "deciding upon a strategy." In general, you're right that it won't end up being a strategy that only has one decision. It's just that these examples are the ones that are easiest to think about.
Let’s assume that instead of being a TAG, you are a loose and maniacal player. You will raise preflop with any two cards, and your opponents know that about you. And when checked to on the flop, you will bet every time. If you play this way, then your range on the flop is extremely unbalanced.
You're taking the one-street analysis and pushing into a two-street game. That's problematic for the discussion. Trying to get "balance" in a multi-street game is very difficult in theory and in practice. As noted before, it's because the "third player" (luck -- the guy who picks the cards) is now in the game, and so "balance" must take into account his actions as well.
So pull back to the one-street game and think about it. If villain raises 100% of the time preflop, his range is perfectly balanaced. If he only raises blacks aces and 7
, he's perfectly balanced*.
* This isn't quite true because his equity isn't 100% when he has AA and his equity isn't 0% when he has 72o. And this analogy doesn't take into account the calculation of equity based on pot size and whatnot.
But if you take the situation where he raises only two hands, he probably won't be balanced on the flop. If you have 55 (a hand in between AA and 72) and the flop is J74, you know you're 100% behind. But if the flop is J64, you know you're 50% ahead. This is because "luck" has made his move. This changes everything. If you want to think about "balance" in this game with respect to preflop play, you've got to take into account not just balancing the two cards, but balancing the different flops that can come out. (You probably will not be balanced on every flop. But that's not the goal. You want to have some sort of "overall" balance. And it will probably be a probabilistic strategy.)
(The c-betting example is specifically about exploiting villain's BET-FOLD. The FOLD part is what makes villain's range/strategy unbalanced, and the thing that you're trying to exploit.)