I need to compare the EV of two actions in the river: checking or betting (both in position).

For the checking action I got a little ev calc that lets me input Expected Win, Expected Loss and Equity, and it will output the EV of the action. So if I input 0 in expected loss, I assume I can get the ev of checking in position on the river, right?

Now, for the ev of betting, this little calculator is not useful, because it doesn't let me input fold equity. I have a "fold equity calculator" app but that will only output the equity needed for a bet or raise to break even, and not the ev. I need one to calculate the ev of this action.

So, first, I'd like to know the formula to know the EV of a bet in the mentioned situation, not just how much equity is needed.

And second, i'd appreciate if anyone could let me know about any app that does this automatically, in order to speed up hand analysis process.

TY

Here is the EV equation for hero making a bet and villain calling or folding:

EV = fe*Pot +(1-fe)*(eq*(Pot + 2*Bet) - Bet)

where,

Pot is the pot before the bet

Bet is the bet amount and is the amount villain has to call (this can be modified if call < bet)

fe is the fold equity = Prob. villain folds

eq is hero’s win probability if villain calls

Assuming pot and 2 of the factors are known, to assure a positive EV, set the equation to zero and solve for the unknown third factor.

To see if betting is better than checking, set the equation to the EV check result and solve.

Of course, this assumes no raises or further bet action, so is most applicable for an all-in or closing river bet. I don’t know if such a calculator exists, but if you have Excel (or a comparable software) you can make your own by using its Goal Seek function or solve algebraically and have a cell with the appllicable equation.

The image shows part of such an application. It is much more than you need for a quick analysis, but it indicates what such an Excel program can do. It uses VBA code but that is not necessary.

Here is what a simplified Excel version might look like

Factor	Value	EV=	(EV target)
Pot	10		0
Bet	15
eq	20%
fe	41.2%

For this case, Goal Seek found that a fold equity of 41.2% was needed for break-even EV when a bet of 15 was made with Pot = 10 and card equity = 20%

Ty for taking the time to respond.

However, a "goal seek" type thing is exactly what I don't need, as I already have a little calculator that does that.

I need something that gives me the ev of shoving, where known values are equity when called, pot size, villain bet (if any) and shove size.

I wrote the EV formula in my first reply. My little Excel example has that formula in the top right white cell ; the use of Goal Seek is optional.

Oh, I think i get it now. What you are proposing is a "goal seek" type thing where the sheet outputs the line at which betting has higher or lesser EV compared to the EV of checking, not just how much equity i need to get to ev 0, am I right?

That would be very handy i think.

Anyway, I found some useful spreadsheets ar Splitsuit site. They cover my needs for now. Appreciate your posts though. Saved for future reference.

With Goal Seek, you will have the EV equation in a cell, set the target value for that cell and identify the variable to change that meets the target value. If you are the caller, for example, and the decision is call or fold, the fold decision has 0 EV so that will be the target value. If checking is an option then the target value will be the checking EV if you have that calculated.

My main point is that your original post asked about comparing two EV's and I was pointing out that if you learn some relatively basic EV math and have some familiarity with Excel or comparable software, you can develop it yourself.

I'm not against using available programs but I think you get a much better understanding of fundamentals by such self-development.

I created a spreadsheet that calculates ev and fold equity simultaneously. You can use it if you want. https://docs.google.com/spreadsheets...q1cvU5ZIM/edit