so, pot is 6.25 and we have 8.17 behind that opp can cover. we shove and he calls. pot is now 22.57. if our equity vs his calling shove range is 40% that means we win 40 times out of 100, or easier, 4 times out of 10.

math for 10 runs same hand he calls shove all of his range:

we win 4 times * total pot 22.57=90.28 $

we lose 6 times * money left behind 8.17=49.02

total profit when he calls his entire range is 90.28-49.02=41.26 so we make a very good profit and our shove is + EV.


now, same numbers, but villains doesnt call a shove with all of his range, let's say he folds 20% of his range and continuos with the rest of 80% of his range.

another math:

in 10 cases he fold 20% of his range, so 2 times out of 10 and calls the shove with 80% of his range, that is 8 times out of 10. so in these 8 times we win 40%* 8 (our equity * times he calls) and we lose 60%* 8 .

math for 10 runs , opp folds to shove 20% and calls 80%

we win folds 2 * pot 6.25= 12.5 $

we win 0,4* 8* 22.57=72.22$

we lose 0,6*8*8.17=39.21

so, total profit 12.5+72.22 - 39.21=45.51


so in both cases, when we have FE or not vs his range our shove is + EV. but you have to do the math for every hand. in time i hope to get them fast and in time play as accurate as possible for myself also, but this only comes with experience .