Reads: Mid 40s white guy. Slightly looser than average pre flop. Haven't seen much postflop so we'll say he's a standard TAG.
He open limps in MP. I'm to his immediate right and I make it $10 with J
J
. Button flats and he flats. $33 in the pot and I have $90 left. Flop comes 10
7
7
. Villain checks, I bet $20, only villain calls. Turn is a 10
. Check,check. River is a 5
. He bets $35 into $73. Hero?
Now here is why I made this thread: To reach my own conclusion by doing this calculation. It's impossible to do these calculations in your head at the table and reach exact numbers, but through making tons and tons of EV calculations you can get a better idea at the table (i.e. if another situation comes where I have QQ on a 9 9 4 4 2 board and the exact same line was taken, I'd have a better idea on whether to call a river bet).
Step 1: Create a totally unbiased range for the villain, adjusting for information known about him. This is the hardest and most important step.
Step 2: Pokerstove
Step 3: Calculate EV.
Step 1: Range = A10, K10, Q10, J10, 10-9 suited, 10-8suited, 10-10 (discounted), 77, A7 (discounted), 87suited (discounted), 76 suited (discounted), 97suited (discounted), 55, busted nut flush draws (discounted), busted K-high flush draws (Discounted), 8
9
(discounted), 8
6
(discounted), Q
J
(discounted), and underpairs like 66 turning into a bluff (discounted).
Hands that are not discounted are hands that he'd play like this near 100% of the time. For example, if he has 10-X he would bet this river almost always, which is why I didn't discount those hands. For all the hands I discounted, they are hands that he might not play like this. For example, with 66 he will sometimes bluff and sometimes won't. Through observation, you can adjust a player's bluff frequency up or down. Here, I'll probably discounted 66 by half.
I also discounted A7(suited) because he might have check raised flop with this. A10 would almost always just flat flop while A7 will sometimes flat sometimes raise.
So notice what I'm doing: I'm making a range that involves a LOT of guesswork. This range could be totally wrong. It's literally impossible to know what his range is unless I interview him for hours and he never lies.
Step 2: Pokerstove. I have 29.508% equity. There are never any ties.
Step 3: EV. This is an extremely easy step when closing action on the river.
.29508*($73+35) = +$31.87
.70492*(-$35) = - $24.6722
Total EV = +$7.19644
Looks like calling is right.