Glad you posted demon.

SOME OF MY PREVIOUS MATHS IS WRONG.

If we look at it another way though: we know he's going to fold 35% of the time and he's calling the other 65% of the time.

I mean, does it not make sense to say: he'll fold here 35% of the time and he'll call 65% of the time.

> Our EV is as in (1) 65% of the time.
> Our opponent folds 35% of the time and we win a $25 pot.

Possibly:

<jyms> = 0.65*{0.35*($45) - $10} + 0.35*($25)
<jyms> = $3.74 + $8.75 = $12.49

If he folds 35% of his range that beats us, then he folds 22% of the time so the second term above would be 0.22*($25). BUT then what is our equity against his range the other 78% of the time now that he's folding some of it?

Maybe it's just the same:

<jyms> = 0.78*{0.35*($45) - $10} + 0.22($25)

When we're in a spot though, we're usually gonna say: he folds here x % of the time and he calls y % of the time and because we win a different sized pots when he calls or folds i think we just use the new ('possible') equations above.

It'd be nice if you looked at the maths and how it applies as opposed to the nature of definitions...