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Wednesday, February 15, 2006

Back to the EV Calcs

Ok so in part to make good on my post a few days ago and also because I can always use more practice at these calculations, I'd like to go ahead and calculate some different amounts of money I make with a big draw when taking into consideration different fold equity percentages.

If you recall, the hand in question was my 9 8 vs. villain's A J on a J T 3 board. The effective stacks will be considered a standard buyin ($200). Previously we examined the fold equity needed to simply break even on the turn. We found we only need him to fold about 30% of the time, just to break even. Today, we'll look at the our EV at various fold percentages.

On the flop, there was $19 in the pot and I lead for $18, so there's $37 in the pot when action is on Villain. Let's assume that he'd like to "protect his hand" with pot sized raise, $73 (19 + 18 + 18 + 18). Had Villain done this in the actual hand, I would have insta-pushed my stack ($176), or, $103 more for him to call. With a pot equity of 56% I'm feeling very good about my spot.

What's my EV if villain folds 0% of the time? 25% ? 50%? 75%? Let's find out. (Note: See the Feb 9th posting for an explanation of the formula used below).

Villain folds 0%:

EV = 110(0) + (1)(.56 * [110 + 103] - [.44 * 176])
EV = 0 + (119.28 - 77.44)
EV = $41.84

Villain folds 25%:

EV = $110(.25) + (.75)(.56 * [110 + 103] - [.44 * 176])
EV = 27.5 + (.75)(119.28 - 77.44)
EV = 27.5 + 31.38
EV = $58.88

Villain folds 50%:

EV = $110(.50) + (.50)(.56 * [110 + 103] - [.44 * 176])
EV = $55 + $20.92
EV = $75.92

Villain folds 75%:

EV = $110(.75) + (.25)(.56 * [110 + 103] - [.44 * 176])
EV = $82.5 + $10.46
EV = 92.96

So there you have it. It's pretty clear that the more he folds the better, but even if he calls 100% of the time, we're still making $41.84.

I played about 1300 hands of $200 NL 6max on Tuesday and had some more swings. I ended up down a little more than a buyin. I didn't get any hands in tonight though.

If you're interested, check out an article on my pop. He just took the Defensive Line position at Southern Miss University.

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