14.11.2012 Views

Poker Math That Matters

Poker Math That Matters

Poker Math That Matters

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

96<br />

make that bet. Looking at the EV of each of these bet sizes, we<br />

see these results.<br />

Betting $125: 0.56($100) + 0.44(-$125) = $56 - $55 = $1<br />

Betting $100: 0.56($100) + 0.44(-$100) = $56 - $44 = $12<br />

Betting $33: 0.56($100) + 0.44(-$33) = $56 - $14.52= $41.48<br />

But, if he started to call with his Js to a $33 bet, we'd need to<br />

reconsider. A 1/3 pot bluff must work 25% of the time. If he<br />

now calls with his Js, only the TT combinations are folding. The<br />

TT combinations represent 6 out of 69 combinations, for about<br />

8% of his range. Obviously that's lower than the needed 25%.<br />

Looking at our EV of that bluff, we have the following.<br />

.08($100) + 0.92(-$33) = EV<br />

$8 - $30.36 = (-$22.36)<br />

So, we need to think about our opponent’s range and what he’ll<br />

fold to different sized bluffs. Saying "bet enough to get the job<br />

done" is a bit narrow for the purposes of poker. Our job isn't to<br />

bet just enough to fold a certain range. It's to choose the line that<br />

makes the most money. We can even look at another option<br />

here. Let's say we shove. Let's say our assumptions are if we<br />

shove, he'll only call with KJ. KJ is 9 combinations out of 69.<br />

This is 13% of his range, which means he's folding 87% of his<br />

range. When we shove $180 into a $100 pot, to break even we<br />

need to have it work 64% of the time (180 / 280). Let's look at<br />

the EV for shoving given our assumptions.<br />

0.87($100) + 0.13(-$180) = EV<br />

$87 - $23.40 = $63.60

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!