Quote:
Originally Posted by Dr.FatCat
Anyway I have the sh.its again and some fever, probably the herp again so that kinda sucks.
BLABLABLABLABLA
So yeah, legal troubles. As I mentioned in an earlier post, the swedish government has been crawling up my ass about unpaid taxes etc... BLABLABLABLABLA
[x] the s.hits
[x] the herp
[x] the government
[x] somebody crawling up somebody's ass
Fatcat. We've had all this before. It's boring.
Also, instead of letting people digest this amazing piece of information that i posted (about folding ranges. Yea, that one out of all the amazing pieces), you derail the thread to talk about your bs again. Sigh.
Let's get back to the poker. Somebody recently asked me to look over some of his 3betting ranges, and i realized that the way i was trying to give him input was very new to him. For that reason i'll give all you non-pro's some piece of info that could end up making your games better.
A comprehensive intro to building 3betting ranges - Part 1
Terminology:
3bet - Re-raising against a preflop raise
EV - expected value. The value (compared to folding) that a decision has.
Equity - The chance of winning a hand with no further action
Fold to 3bet % - How often somebody folds to your 3bets. You should be able to find this stat somewhere in your tracker/hud.
Fold Equity or FEQ - The chance (typically as a percentage, but is equivalent to a BB/hand or share of the pot / hand winrate) of getting a fold
Value range - The hand range that 3bets for value, meaning that your expected EV is bigger than half the pot + Fold Equity for every single hand.
Bluff range - The hand range that 3bets as a bluff, generally simply meaning that your EV is higher than 0.
So, let's say you're in the BB, and you want to create a 3betting range against the player on the button. There's loads of things that we don't know:
1) How does the player on the button play?
2) How would we find our value hands?
3) How could we find our bluff hands?
We'll start by thinking about a very simple idea:
Betting or raising in poker creates a trade-off between equity and fold equity.
We'll think about the validity of this by assuming that there was no trade-off, meaning that your equity would stay the same no matter how much fold equity you generate.
Before, our expected value was equity * pot.
Now, our expected value is fold * pot + call * equity * pot.
Essentially, we add a case where we have 100% equity (we always win the pot) to the case where we have the same equity as before. The result must be a bigger number than before.
We would always bet or raise if we put in any chips.
In reality, things look a bit differently:
equity * pot (as before) compared to
FEQ * pot + (equity-x*FEQ) * pot. So now, for every bit of FEQ that we generate, we take away some of our equity (that's what the "x*FEQ" means). This makes sense. Now it's our goal to find the spots where the trade-off is advantageous, and that's what we'll do next.
Our approach is the following:
1) Find out how much equity we need in order to consider bluffing
2) Based on that, find hands that could 3bet bluff
3) Out of those hands, find the hands with the best FEQ-equity trade-off
1) How much equity do we need?
fold * pot - 4bet * 3bet-amount + call * (equity * (pot) + (1-equity) * -3bet-amount) = 0
We either get a fold, a 4bet, or a call. If we get a fold, then we win the pot. If we get 4bet, then we fold our bluff and lose our 3bet-amount. If we get called, then our equity determines how often we win or lose the pot.
In order to solve that formula for the needed equity, we need 2 numbers and one range:
calling range - What does the player on the button call with?
We'll need this range in order to look at the equities of different hands. Before we can do this, we'll find all the other numbers first.
fold - How often does the player on the button fold? You'll find this number by feel, or by looking at your HUD. For this example, we'll simply assume 55%.
4bet - How often does the player on the button 4bet? Again, you'll have to estimate, or look up.
The way we'll find this number right now is pretty simple:
[TT-AA,AK] / 1326 combos = 46/1326 = 3.5%
This is the 4bet value range. You can simply adjust it if you think people 4bet tighter, or looser for value.
Now, generally somebody should 4bet bluff around half the time, which would be another 3.5% range. However, i would assume that people at small stakes don't 4bet bluff enough.
[bluff range] < 3.5% = 2.5%
Entire 4bet range = 6%
So, this Button player folds 55%, and 4bets a 6% range. In order to continue, we'll have to estimate how often he raises the button in the first place. I'll simply assume 50%.
This means that he 4bets
6/50, or 12% of the time.
fold = 55%
4bet = 12%
call = 100% - 55% - 12% = 33%
We can solve for the equity now:
55% * pot - 12% * 3bet-amount + 33% * (equity * (pot) + (1-equity) * -3bet-amount) = 0
OK, not quite. We also need to think about the betting and raising amounts.
Let's assume the following:
The player on the button opens to 2.5 Big Blinds, and we 3bet to 8.5 Big Blinds. This means that we risk 7.5 BB's for our 3bet.
55% * (SB+BB+2.5BB's) - 12% * 7.5BB's + 33% * (equity * (8.5BB's+SB+BB) + (1-equity) * -7.5BB's) = 0
_______
Aight, solve that formula for the needed equity, and you'll get Part 2.