Trying to improve my hand ranging skills and math
I have a specific example, but I've been working to improve my opponent hand ranging. Specifically doing the math quickly on the spot.
$50 $85k gtd. On Bovada
10k starting stack
Hero on Button has 9300, villain UTG has 14500
(History: I had folded to a check raise in roughly the same position 9 hands earlier.)
Villain raises to 330
Folds to hero who raises to 962 hold QhQd
Flop: Js, 8s, 8s
Hero bets 1096
Villain raises to 3440
Do I shove or fold?
After doing some brief math against his 3 bet calling range I figure I am against 19 hands that dominate me, 30ish that I dominate and a lot of semi bluffs that I am ahead of that should not call a fold.
I figure that against this whole range I'm over a 50% favorite, plus the fold equity of shoving. So I did. Is this math and line of thinking about right?