This is excellent! Always do this!
You'll be crushing 2NL in no time.
Given this, I have his range PRE as
{ JJ-22,ATs+,KTs+,Q9s+,J8s+,T7s+,97s+,87s,76s,ATo+,KTo+ ,QTo+,JTo }
and his range after calling the flop as (101 combos)
{ JJ,99,TdTh,TdTs,ThTs,8d8s,8d8c,8s8c,3d3h,3d3c,3h3c ,QJs,Q9s,J9s,97s,76s,
AhTh,KdTd,KhTh,KsTs,QdTd,QhTh,QsTs,JdTd,JhTh,JsTs, Td9d,Th9h,Ts9s,Jd8d,
Js8s,Jc8c,Td8d,Ts8s,9d8d,9s8s,9c8c,Td7d,Th7h,Ts7s, 8d7d,8s7s,8c7c,QJo,AhTd,
AhTs,AcTd,AcTh,AcTs,KdTh,KdTs,KhTd,KhTs,KsTd,KsTh, KcTd,KcTh,KcTs,QdTh,
QdTs,QhTd,QhTs,QsTd,QsTh,QcTd,QcTh,QcTs,JdTh,JdTs, JhTd,JhTs,JsTd,JsTh,
JcTd,JcTh,JcTs }
That's a bit tedious to make sense of, but there it is.
After the J
comes up on the turn, you have ~56% equity against that range.
Now, the question is: How much of that will call if you shove?
So now I have this as his range to continue to a flop bet (66 combos)
{ 99,JdJs,JdJc,JsJc,TdTh,TdTs,ThTs,8d8s,8d8c,8s8c,3d 3h,3d3c,3h3c,Q9s,97s,QdJd,
QsJs,QcJc,AhTh,KhTh,QhTh,JdTd,JsTs,Jd9d,Js9s,Jc9c, Td9d,Th9h,Ts9s,Jd8d,Js8s,
Jc8c,Td8d,Ts8s,9d8d,9s8s,9c8c,Th7h,7h6h,QdJs,QdJc, QhJd,QhJs,QhJc,QsJd,QsJc,
QcJd,QcJs,JdTh,JdTs,JsTd,JsTh,JcTd,JcTh,JcTs }
Here we go:
Hero shoves for $1.95 - $0.28 - $0.40 =
$1.27
and Villain has him covered
into a pot of
$1.39
if you win, you will get $1.39 + $1.27 =
$2.66
Odds that Villain folds are ( 101 - 66 )/101 = 35/101 ~=
35%
Odds that Villain calls are 66/101 ~=
65%
Using Equilab:
Equity against Villains calling range is ~=
41%
So if Villain calls, you expect to lose 100% - 41% =
59%
EV when you bet and Villain folds = 35% x $1.39 = $0.4865
EV when you bet, Villain calls and you win = 65% x 41% x $2.66 = $0.7089
EV when you bet, Villain calls and you lose = 65% x 59% x $-1.27 = $-0.4870
And the grand total is: $0.4865 + $0.7089 - $0.4870 ~= $0.71
Which is a positive number or +EV, so the shove is a winning move in the long run (assuming those ranges).
I can't say with this single calculation whether or not it was your most +EV line. That answer would come by analyzing more hypothetical situations at the decision point and maybe prior. E.g. if you bet $0.45 OTF, does that affect his range? Does that effect give you more or less equity when you shove OTT? All of this is long-term stuff, but it all starts with understanding how to find the EV of any given situation. (Don't expect to be able to do this at the table. This is something to study until it bleeds through into a bigger picture.)
This should give you a quick guide to figuring out the EV of an all-in shove situation. You can adjust the ranges and re-calculate (which is really easy if you just set up a spreadsheet to do the calc. You will need* an outside program like equilab (free) to calculate the equity. It should let you put in ranges and count the number of combos in that range (like the 101 and the 66 above). Any poker calculator which calculates equity when you put in ranges is fine, but I do like some of the functionality of equilab.
*You don't strictly
need software to do this, but use software to save loads of time.