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05-21-2012 , 08:45 PM
I used to beat .05nl before black friday and I've read a decent bit on this forum, so I've at least scratched the surface of the game, but somehow I did not get this memo. I've been re-reading the concept of the week posts recently and here are a couple of quotes from them:

Quote 1:
Quote:
Another example is with pocket pairs; say you open to 4BB UTG with 55, one person calls, and CO squeezes to 12BB. There's 22BB in the pot, so you're getting 20:8 or 2.5:1 pot odds to call the bet. Since you need 7.5:1 implied odds to flop a set, you need to collect (7.5:1 - 2.5:1) = 5:1 implied odds postflop, or 40BB to break even. If CO is tight and you know this raise means QQ+, you can probably call profitably expecting to stack him often enough for calling to be +EV, but against a looser player you might consider letting it go (although you can factor in that you can usually expect to snap off a CB of ~20BB against most players).
Quote 2:
Quote:
Logically, we know that if we raise TT UTG to 3bb, folds to him OTB and he shoves for 20bb, we know his range is super strong, probably TT+/AK (and in all actuality, it is probably QQ+/AK ~JJ). If we pokerstove it, we get 34/66. We know we are getting 23:17, so we need 42.5%ee to call. We have 34, so we cannot call. This is simple math.
Can someone explain to me how this kind of math works? I've always been quite good at math in school but this ratio and odds type of math seems to escape me.

Here's how I incorrectly see it:

In quote 1, according to my math there should be 21.5bb in the pot (1.5 blinds + 4 raise + 4 call + 12 squeeze). That's about where my understanding stops. I've never really known where the ratios come from. If we call and win, in my eyes, we win 17.5bb net (i.e. the money in the pot that we did not put in). If we call and lose, we lose 8bb. That ratio would be 17.5:8, or 2.19:1. I don't really know why I do it like this, but that's the only sense I can make out of it that comes out even close to what's written in the quote. The ratio subtraction is obviously simple, but then how does the resulting 5:1 equate to the 40bb needed to break even? Is it from 5 times the 8bb raise you need to call to continue?

Quote 2 is even more confusing to me. I get the pokerstove part, I know how to use pokerstove and how it works. But the ratio gets me again. According to my logic, the pot is 24.5bb (1.5 blinds + 3 raise + 20 3b), and if we call and win we make 21.5bb (the pot minus our money) and if we call and lose we lost 17bb. That ratio would be 21.5:17. Then I have no idea how to get the 42.5% equity out of that that determines whether we should call.

I know it's not correct to be subtracting out "our money" from the calculations to get a net profit since it's not "our money" anymore anyway once it's in the pot, but if I wasn't doing that then I'd get numbers that are even further from correct. I.e. in the second quote I'd bet getting totally off ratios like 41.5:17 (the entire pot after our call vs. the cost of the call)

Last edited by Kelarm; 05-21-2012 at 08:57 PM.
Basic math - dumb beginner question Quote
Basic math - dumb beginner question
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05-21-2012 , 09:21 PM
Q1: Set mining. Ignore that quote and stick to this: The theory is that you need approx: 15 to 20 : 1 in order to profitably set mine pre. That includes the effective stack size behind AND the price your getting to call (Say you have 3-1 on the pre flop call and 12-1 on the money behind = 15-1 implied odds)

This figure could change... As you mentioned, vs a nit I may set mine with 12-1. Vs a whale i may set mine in the same spot. Vs an aggro donk too. But vs a decent TAG, I prolly wouldnt concider it (readless on post flop) without 15-1.

Q2 ill leave up to others. Its 2.20 in the morning and im up at 8.00 for an exam :P
Basic math - dumb beginner question Quote
05-21-2012 , 11:14 PM
Quote:
Originally Posted by Kelarm
If we call and win, in my eyes, we win 17.5bb net (i.e. the money in the pot that we did not put in).

According to my logic, the pot is 24.5bb (1.5 blinds + 3 raise + 20 3b), and if we call and win we make 21.5bb (the pot minus our money) and if we call and lose we lost 17bb.
Money in the pot isn't yours anymore so stop treating it like it is.
Basic math - dumb beginner question Quote
05-22-2012 , 12:02 AM
The showdown EV equation for a call is

EV = E*(Pot + Bet) - (1-E)*Bet,

where E = equity, Pot = pot before villain bets, and Bet is his bet.

This says if you win with probability E, you win Pot + Bet and if you lose with probability 1-E, you lose Bet. Now if you set EV to 0 to get break even you will find that the minimum equity needed is

Emin = Bet/(Pot + 2*Bet).

For the values stated

Emin = 17/(4.5+34) = 44.2%

With another simple arithmetic manipulation, you will find the following rule of thumb can be used if showdown EV applies:

Bet if (Pot+Bet)/Bet > (1 - E)/E.

This says, for EV > 0, bet if the pot odds are greater than the odds against your making the hand. Here your pot odds are 24.5/17 or about 1.44 to 1 and your card odds are 66/34 or a bit less than 2 to 1, so a bet is not called for, from a math viewpoint.
Basic math - dumb beginner question Quote
Basic math - dumb beginner question
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