14.11.2012 Views

Poker Math That Matters

Poker Math That Matters

Poker Math That Matters

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

136<br />

It's obviously a mistake for him to call, and we profit. However,<br />

he only makes that mistake 14% of the time. When he calls,<br />

we'll own 66% of a $40 pot. He folds 86% of the time, and we<br />

win the $10 pot. Here's our EV when we shove.<br />

0.14(0.66($40)) + 0.86($10) = EV<br />

0.14($26.40) + $8.60 = EV<br />

$3.70 + $8.60 = $12.30<br />

When we bet $5, notice he can call profitably with his big draws.<br />

0.34($15) + 0.66(-$5) = EV<br />

$5.10 - $3.30 = $1.80<br />

So, we allow him to make $1.80 when he calls with his OESFD.<br />

However, he's making a mistake calling with his QJ.<br />

0.11($15) + 0.89(-$5) = EV<br />

$1.65 - $4.45 = (-$2.80)<br />

The QJ hand makes up a significant portion of his range. So<br />

much so, that our EV when we bet $5 is greater than when we<br />

shove. Our total equity against his whole range is 85%. We'll<br />

win a $20 pot 85% of the time.<br />

0.85($20) = $17<br />

So, even though we allow the villain to draw profitably with a<br />

portion of his range, we do better by having the larger portion<br />

make a mistake. Obviously this example is simplified as we<br />

have ignored river betting and position, but the lesson is clear.<br />

Keep the makeup of the villain's range in mind when you're<br />

betting.

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

Saved successfully!

Ooh no, something went wrong!