Hi
I have a Problem with the following example:
We are HU on the River oop, and have Ps left. We know, that we have 40% vs. Villains Callingrange, but we don´t know, what he is betting, or checkbehind, if we check. So we do not know if a x/call or a x/f ist +EV/-EV. So please do not focus on differnt lines/betsizes then pushing, because it is not important for my question :)...
I think a Push is +EV even, if we do NOT have any FE and know, that we do NOT have >50% Equity vs his Callingrange. I think I can prove it with this calculation:
We have 10$ left in a 10$ Pot, so :
EV(fold) = 0
EV(push) = 0,4* 20 - 0,6 *10 = +2
Thats why I think, pushing has a higher EV than folding, because folding is obv 0EV, even if it wouldn´t make sense. So:
EV(push)> EV(fold)
=> EV(push)> 0EV
=> EV(push) = +EV
A friend of mine do not agree with me, because he says, that it can not be +EV, when we invest more money without having > 50% Equity vs his Callingrange.
I know, that this is a very theoretically example and it will never occur like this in game, but please just dicuss my question, if a push is +EV or not!
I hope some of you guys can helb me and show me if I am wrong or right.
Thank you very much,
Cheers Jonas